8/17/2019 Class Assignments Book
1/104
CL SS
SSIGNMENTS
2 6
8/17/2019 Class Assignments Book
2/104
INDEX
1. Quantitative Aptitude Assignments ……………………………………………… 1- 27
2. Logical Reasoning Assignments…………………………………………….……… 28-47
3. Verbal Ability Assignments……………………………………………………………48-76
4. General Awareness Assignments………………………………………..……….77-100
PagesAssignments
8/17/2019 Class Assignments Book
3/104
QUANTITATIVE APTITUDE
CLASS ASSIGNMENT -1Average, Percentage, Profit/Loss
AVERAGEComplete the following exercise:
Observations Average
1,2,3,4,5,6,7,8,9,10
21, 24, 27, 30, 33, 36
10, 20, ___ , 35, 45, 65 40
Complete the given exercise:
No.
of
girls
Avg.
weight
of girls
No.
of
boys
Avg.
weight
of boys
overall
average
weight
10 20 kg 20 30 kg
10 30 45 kg 38.75
15 kg 25 40 kg 27.5
1. What is the average of the following
observations: 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5,
6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7
(a) 4 (b) 5(c) 6 (d) None of these
2. The average age of A and B is 20 years, that of B
and C is 19 years and that of A and C is 21 years.
What is the age (in years) of B?
(a) 39 (b) 21
(c) 20 (d) 18
3. The average weight of 8 people increases by 2.5
kg when a new person comes in place of one of
them weighing 65 kg. What might be the weight
of the new person?
(a) 84 kg (b) 85 kg
(c) 86 kg (d) 87 kg
4. The average salary of 12 employees of STAR PLUS
is Rs. 18,000 and that of 15 employees of NDTV is
Rs. 25,000 per month. The average monthly of all
employees in rupees is:
(a) 17,000 (b) 16,500
(c) 20,000 (d) None of these
5. Karna drove his chariot from Kurukshetra to
Indraprastha at the speed of 40 km/hr and then
he traveled the same distance on his foot at 10
km/hr towards Mathura. He then returned from
Mathura to Kurukshetra via Indraprastha at 24
km/hr riding on a horse.
The average speed of the whole trip is:
(a) 20 km/hr (b) 25 km/hr(c) 19.2 km/hr (d) 18.5 km/hr
6. The average of nine numbers is M and the
average of three of these is P. If the average of
remaining numbers is N , then
(a) M = N + P (b) 2M = N + P
(c) 3M = 2N + P (d) 3M = 2P + N
PERCENTAGE
Complete the given exercise:
Fraction Corresponding percentage
1/2
1/4
1/_ 12.5%
33.33%
16.66%
11.11%
1. A number is increased by 37.5% and it gives 99 as
the final answer. The number is:
(a) 140 (b) 61.5
(c) 72 (d) 48
2. Two candidates fought an election. One got 65%
of the votes, and won by a margin of 3,600 votes.
The total number of votes polled is:
(a) 12,000 (b) 10,000
(c) 2,000 (d) 8,000
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 1 Page 1
8/17/2019 Class Assignments Book
4/104
3. The price of an item is increased by 20% and then
decreased by 20%. The final price of the item as
compared to its original price is:
(a) 4% more (b) 4% loss
(c) No profit No loss (d) Cannot be found
4. The average weight of a class of students is 67.5
kg. The weight of the class teacher is 25% more
than the average weight of the class. The average
weight of the class is less than the class teacher
by x%. The value of x is:
(a) 33.33% (b) 25%
(c) 20% (d) Cannot be found
5. Each side of a cube is increased by 20%. The total
percentage increase in the surface area of the
cube is:(a) 144% (b) 40%
(c) 44% (d) 72.8%
PROFIT LOSS
Complete the following exercise:
CP Profit/Loss SPProfit/Loss
(%)
100 80
50 +25
-70 200100 +25%
300 +75%
Given are some questions without any option.
Solve these questions and write your answer in
the space provided
1. Find the cost price of an article which is sold for
Rs. 220 at a loss of 12% _________
2. A man sells two wrist watches. One at a profit of
10% and another at a loss of 10%, but the selling
price of each watch is Rs. 200. Find the:
(1) Net percentage profit or loss. _________
(2) Net amount of profit or loss. _________
3. A man sells a book at a profit of 20%. If he had
bought it at 20% less and sold it for Rs. 18 less, he
would have gained 25%. The cost price of book is
_________.
4. If the cost price of 15 apples is equal to the selling
price of 20 apples. What is the gain or loss
percentage? _________
5. By selling 8 bananas, a fruit seller gains the selling
price of 1 banana. Calculate his gain percentage.
_________
6. Anna sold his muffler to Arvind at a profit of 20%
and Arvind sold it to Kiran at a profit to 100%.
Kiran sold it to Narendra at a loss of 9.09%.
Narendra then sold the same muffler to Anna at
a profit of 10%. What is Anna’s overall profit/loss
percentage? _________
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 1 Page 2
8/17/2019 Class Assignments Book
5/104
QUANTITATIVE APTITUDE
CLASS ASSIGNMENT - 2Ratio / Proportion, Mixtures, Partnership
Complete the given table
Ratio Suraj’s Salary Dheeraj’s Salary Total Salary
3:4 300
3:4 800
3:4 2800
2:_ 800 1200
600 1800
900 1200
RATIO1. Find the ratio of 90 cm to 1.5 m _________
2. The ratio of A: B is 1: 3, B: C is 2: 5, C: D is 2: 3.
Find the value of A: B: C: D. _________
3. The sum of two natural numbers is 64. Which of
the following cannot be the ratio of these two
numbers?
(a) 3 : 5 (b) 1 : 3
(c) 7 : 9 (d) 3 : 4
4. If A, B & C have some sweets with them all
together weighing 110 kg. If A gives half of his
share to B then he now has twice as much as A.
but if C gives half of his share to B, then B now has
four times as much as that of C. What amount of
sweets does B has initially?
(a) 60 kg (b) 30 kg
(c) 20 kg (d) None of these
5. A cat takes 5 steps for every 7 steps of a dog, but
5 steps of a dog are equal to 6 steps of a cat. What
is the ratio of speed of cat to that of dog?
(a) 24 : 25 (b) 42 : 25
(c) 24 : 19 (d) 25 : 42
6. A camel pursue an elephant and takes 5 leaps for
every 7 leaps of the elephant, but 5 leaps of
elephant are equal to 3 leaps of camel. What is
the ratio of the speeds of camel and elephant?
(a) 5 : 4 (b) 4 : 5
(c) 25 : 21 (d) 21 : 25
MIXTURES7. In the 75 litres of mixture of milk and water, the
ratio of milk and water is 4: 1. The quantity of
water required to make the ratio of milk andwater 3 : 1 is :
(a) 1 litre (b) 3 litres
(c) 4 litres (d) 5 litres
8. 450 litres of a mixture of milk and water contains
the milk and water in the ratio 9: 1. How much
water must be added to make a new mixture
containing milk and water in the ratio 3: 1?
(a) 54 litres (b) 90 litres
(c) 45 litres (d) 63 litres
9. The ratio of petrol and kerosene in a container is
3: 2. When 10 liters of mixture is taken out, and
replaced by the kerosene, the ratio becomes 2: 3.
The total quantity of the mixture in the container
is:
(a) 25 litres (b) 30 litres
(c) 45 litres (d) Cannot be found
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 2 Page 3
8/17/2019 Class Assignments Book
6/104
PARTNERSHIP10. A company makes a profit of Rs. 9,00,000. Twenty
percent of which is paid as taxes. If the rest is
divided among the partners, P, Q & R in the ratio
of 1 ∶
∶ 2, then the shares of P, Q & R are
respectably:
(a) Rs. 2,40,000, Rs. 3,20,000, Rs. 1,60,000
(b) Rs. 3,20,000, Rs. 2,40,000, Rs. 1,60,000
(c) Rs. 1,60,000, Rs. 3,20,000, Rs. 2,40,000
(d) Rs. 1,60,000, Rs. 2,40,000, Rs. 3,20,000
11. We have to divide a sum of Rs 13,950 among
three persons A, B and C. B must get the double
of A’s share and C must get Rs 50 less than the
double of B’s shares. The share of A will be:(a) Rs 1,950 (b) Rs. 1,981.25
(c) Rs. 2,000 (d) Rs. 2007.75
12. A and B are partners in a business. They invest in
the ratio 5 : 6, at the end of 8 months A
withdraws. If they receive profits in the ratio of
5:9, find how long B’s investment was used?
(a) 12 months (b) 10 months
(c) 15 months (d) 14 months
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 2 Page 4
8/17/2019 Class Assignments Book
7/104
QUANTITATIVE APTITUDE
CLASS ASSIGNMENT - 3Speed, Distance, Time, Work, Pipes
SPEED, DISTANCE, TIME
Convert the given units.
___ m = 5 km
___ m = 2.5 km
1400 m = ____ km
8000 m = ____ km
150 m = ____ cm
189 m = ____ cm
____ Km = 400 cm
____ Km = 2400 cm
1 hr = _____ mins
0.5 hr = _____ mins
2.5 hr = _____ mins
4 hr = _____ mins
60 min = _____ hr
480 min = _____ hr
Complete the given table Convert the given speeds
Sl.No
Distance Time Speed
1 100 km 20 hr ___ km/hr
2 ____ km 2 hr 30 km/hr
3 20 km _____ min 4 km/hr
4 100 m 20 hr ___ m/sec
5 ___ m 240 sec 30 km/min
6 20 m _____ hr 4 km/hr
Revise Your Basics
1. A car travels 15 meters in 2 seconds. Find its
speed in m/s.
2. Usain Bolt runs 100 metres in 9 seconds. Find his
speed in km/hr.
3. Boing 747 travels 15 kms in 3 minutes. Find its
speed in m/s.
4. The rocket used to launch Mangalyaan covers
200 km in 6 minutes. Find its speed in km/hr.
5. A skateboarder rolls at 8 m/s. how long would it
take him to roll 60 m at this speed?
SPEED, DISTANCE, TIME1. A bus travels at an average speed of 100 km/hr,
stopping for 3 minutes after every 75 km. How
long did it take to reach its destination 600 km
from the starting point?
(a) 6 hr 24 min (b) 6 hr 21 min
(c) 6 hr 18 min (d) 6 hr 15 min
2. A car goes from a Delhi to Panipat at a speed of
32 km/hour but returns to Delhi at a slower
speed. If its average speed for the trip is 28
km/hour, find the return speed of the train.
(a) 48 km/hour (b) 25 km/hour
(c) 52 km/hour (d) 47.4 km/hour
Km/hr m/sec
32
15
60
100
2.5
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 3 Page 5
8/17/2019 Class Assignments Book
8/104
3. A train crosses a pole in 10 seconds. If the speed
of the train is 10 m/s, then what is the length of
the train?
(a) 1 m (b) 10 m
(c) 100 m (d) Cannot be found
4. A train, 800 meter long is running with a speed of
78 km/hr. It crosses a tunnel in 1 minute. What is
the length of the tunnel?
(a) 650 meter (b) 555 meter
(c) 500 meter (d) 458 meter
5. How many seconds will a 500 meter long train
take to cross a man walking with a speed of 3
km/hr in the direction of the moving train if the
speed of the train is 63 km/hr
(a) 25 seconds (b) 28 Seconds
(c) 30 seconds (d) 35 Seconds
6. The speed of a boat is 10 kmph and that of a
stream is 5 kmph. What will be the time taken by
the boat to travel
(a) Upstream 10 km in the stream?
(b) Downstream 10 km in the stream?
7. By increasing its speed by 1km per hour, a person
was able to reach his office early by 1 hour. If the
distance between his office and his house is 20
km, then what was his original speed was?
(a) 3 km/hr (b) 4 km/hr
(c) 5 km/hr (d) 6 km/hr
PIPES & CISTERNS
Complete the Given Table
Sl. No Capacity of TankTime taken to fill up
tank
Capacity of tank
filled in 1 min
Fraction of Tank
Filled in one minute
1 120 L 1 hr
2 240 L 2 hr
3 360 L 300 ml
4 3 min 400 ml
1. A pipe is known to fill up a tank in 1 hour. What
portion of the tank is filled up by the pipe in 1
minute?
2. In continuation to the previous question, if it isknown that another pipe fills up the same tank in
30 minutes, then what portion of the tank is filled
up by the pipe in 1 minute?
3. Two pipes ‘A’ and ‘B’ can fill a tank in 6 hours and
4 hours respectively. If they are opened on
alternate hours and if pipe ‘A’ is opened first, in
how many hours, the tank will be full?
4. In a house, the water supply provided by MCD
guarantees to fill up a standard water tank in 3
hours. And a tap in the kitchen is known to drain
the water tank in 5 hours. If the tank is initially
empty and both of them are openedsimultaneously, then in how much time will the
tank be full?
5. Two taps can fill a tub at 10 L/min. and 15 L/min.
respectively. A pipe can empty it in at the rate of
8L/min. If all the three are kept open The tank
gets filled in 24 hours. What is the capacity of the
tank?
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 3 Page 6
8/17/2019 Class Assignments Book
9/104
WORK
1. ‘A’ can do a piece of work in 8 days, ‘B’ can
do a piece of work in 12 days. How manydays will they take to complete the piece of
work working together?
2. ‘A’ and ‘B’ can together complete a piece of
work in 4 days. If ‘A’ alone can complete the
same work in 12 days, in how many days can
‘B’ alone complete that work?
(a) 4 days (b) 5 days
(c) 6 days (d) 7 days
3. ‘A’ is twice as good as workman as ‘B’ and
together they finish a piece of work in 18
days. In how many days will ‘B’ alone finish
the work?
(a) 27 days (b) 54 days
(c) 56 days (d) 68 days
4. 20 workers can finish a piece of work in 30
days. After how many days should 5 workers
leave the job so that the work is completed in 35
days?
(a) 5 days (b) 10 days
(c) 15 days (d) 20 days
5. Tom can copy 50 pages in 10 hours: tom and
brad together can copy 300 pages in 40 hours. In
how much time can brad copy 30 pages?
(a) 27 days (b) 54 days
(c) 56 days (d) 68 days
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 3 Page 7
8/17/2019 Class Assignments Book
10/104
QUANTITATIVE APTITUDE
CLASS ASSIGNMENT – 4Speed, Distance, Time, Work, Pipes
SPEED, DISTANCE, TIME
1.
Two trains of equal length are running on
parallel lines in the same direction at 46 km/hr
and 36 km/hr. The faster train passes the
slower train in 36 seconds. The length of each
train is:
(a) 40 meter (b) 45 meter
(c) 50 meter (d) 55 meter
2.
A 270 metres long train running at the speed of
120 kmph crosses another train running in
opposite direction at the speed of 80 kmph in
9 seconds. What is the length of the other
train?
(a) 220 meter (b) 225 meter
(c) 230 meter (d) 235 meter
3.
Two cyclists start on a circular track from a
given point but in opposite directions with
speeds of 7 m/s and 8 m/s respectively. If the
circumference of the circle is 300m, after what
time will they meet at the starting point?
(a) 20 (b) 100
(c) 300 (d) 200
4.
If Rahul rows 15 km upstream in 3 hours and
21 km downstream in 3 hours, then the speed
of the stream is
(a) 5 km/hr (b) 4 km/hr
(c) 2 km/hr (d) 1 km/hr
5.
A man can row at 5 kmph in still water. If the
velocity of the current is 1 kmph and it takes
him 1 hour to row to a place and come back.
How far is that place.
(a) 0.4 km (b) 1.4 km
(c) 2.4 km (d) 3.4 km
6. Buses start from a bus terminal with a speed of
20 km/hr at intervals of 10 mins. What is the
speed of a man coming from the opposite
direction towards the bus terminal if he meets
the buses at intervals of 8 mins?
(a) 3 km/hr (b) 4 km/hr
(c) 5 km/hr (d) 7 km/hr
7.
In a race of 600 meters, Ajay beats Vijay by 60
meters and in a race of 500 meters Vijay beats
Anjay by 25 meters. By how many meters will
Ajay beat Anjay in a 400 meter race?
(a) 48 m (b) 52 m
(c) 56 m (d) 58 m
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 4 Page 8
8/17/2019 Class Assignments Book
11/104
WORK, PIPES & CISTERNS
1. Ram can do a piece of work in 8 days which
Shyam can finish in 12 days. If they work at it
on alternate days with Ram beginning, in how
many days, the work will be finished?
(a) 9 and 1/3 (b) 9 and 1/24
(c) 9and 1/2 (d) 10 and 1/3
2. A is twice as good a workman as B and
‘together they complete a work in 15 days. In
how many days can the work be completed by
B alone.
(a) 22
(b) 37
(c) 30 ` (d) 45
3. 4 men and 6 women finish a job in 8 days, while
3 men and 7 women finish it in 10 days. In how
many days will 10 women working together
finish it?
(a) 30 days (b) 40 days
(c) 50 days (d) 60 days
4. 5 men and 2 boys working together can do four
times as much work as a man and a boy.Working capacity of man and boy is in the ratio
(a) 1:2 (b) 1:3
(c) 2:1 (d)2:3
5. Sakshi can do a piece of work in 20 days. Tanya
is 25% more efficient than Sakshi. The number
of days taken by Tanya to do the same piece of
work is:
(a) 15 (b) 16
(c) 18 (d) 25
6. Twenty women can do a work in sixteen days.
Sixteen men can complete the same work in
fifteen days. What is the ratio between the
capacity of a man and a woman?
(a) 3 : 4 (b) 4 : 3
(c) 5 : 3 (d) Data inadequate
7. Two candles of the same height are lighted at
the same time. The first is consumed in 4 hr
and the second in 3 hr. Assuming that each
candle burns at a constant rate, in how many
hrs after being lighted was the first candle
twice the height of the second?
(a) 0.45 hr (b) 1.5 hr
(c) 2.6 hr (d) 2.4 hr
8. 40 men build a wall 4 meters high in 15 days.
The number of men required to build a similar
wall of 5 meters height in 6 days would be:
(a) 115 (b) 105
(c) 135 (d) 125
(e) None of these
9. If 12 men or 6 women can bake 48 cakes in one
day, then how many cakes can 8 men and 8
women bake in one day?
10. X is 60% less efficient than Y. If X does the job
in 30 days, Y would take how many days to
finish the job?
(a) 12 days (b) 18 days
(c) 75 days (d) 18
4 days
(e) None of these
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 4 Page 9
8/17/2019 Class Assignments Book
12/104
QUANTITATIVE APTITUDE
CLASS ASSIGNMENT - 5Number Systems
1. Which of the following is not correct :
(a) 2 is a prime number (True / False)
(b) -2 is a prime number (True / False)
(c)
is an even number (True / False)
(d) -12 is a composite number (True / False)
2. If x is an odd integer, all of the following are
odd except:
(a) x – 2 (b) 6x + x
(c) x2 + 2x (d) x2 + x
3. What number(s) can be put in place of ‘c’ in
the number ‘38c’ to make it divisible by :
(i) 2 (ii) 3 (iii) 4
(iv) 5 (v) 6 (vi) 8
(vii) 9 (viii) 10 (ix) 11
4. If n is a positive integer, which one of the
following numbers must have a remainder of
3 when divided by any of the numbers 4, 5,
and 6?
(a) 12n + 3 (b) 24n + 3
(c) 90n + 2 (d) 120n + 3
5. A hundred and twenty digit number is
formed by writing the first x natural numbers
in front of each other as
12345678910111213.. Find the remainder
when this number is divided by 8.
(a) 6 (b) 7
(c) 2 (d) 0
6. On a road three traffic lights change after 48,
72, 108 seconds. If all the three lights
changes simultaneously on 8:20:00 pm, then
at which of the following time the lights will
again change simultaneously?
(a) 8 : 27 : 12 (b) 8 : 25 : 14
(c) 8 : 30 : 00 (d) 8 : 29 : 30
7. The largest possible length of measuring
tape which can measure 525cm, 1050cm
and 1155cm length of cloth in a minimum
number of attempts (measuring it in cms
only) is:
(a) 25 (b) 10
(c) 75 (d) None of these
8. Find the largest no. which divides 5, 7, 9, 12
& 15 and leaves a remainder 1 in each case:
9. In a bangle shop, if the shopkeeper displays
the bangles in the form of a square then he
is left with 38 bangles with him. If he wanted
to increase the size of the square by one unit
on each side, then he notices that he is short
of 25 bangles. The actual number of bangles
that he has with him is:
(a) 1690 (b) 999
(c) 538 (d) CBD
10. What will be the remainder of()
?
11. What will be the remainder of ()
?
12. What will be the remainder when 16 is
divided by 5?
13. If it is known that: 7! = 7X6X5X4X3X2X1
5! = 5X4X3X2X1 and so on. What is the value
at the unit place of: 1! + 2! + 3! + 4! +
5! + … + 10!
14. What is the remainder when 1! + 2! +
3! + 4! + 5! + … + 15! is divided by 5?
15. What is the digit at the unit’s place of:
(a) 6 (b) 15
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 5 Page 10
8/17/2019 Class Assignments Book
13/104
QUANTITATIVE APTITUDE
CLASS ASSIGNMENT - 6Equations and Logarithm
EquationsIdentify the given equations
Equation Degree
Type of Equation
(Put a check in the correct box)Number of
Variables
Value of
Variables
(If possible)Linear Quadratic Cubic
3 + 4 = 03 + 4 = 2 + 2 + 1 = 0 + 3 + −1 = 0
+ + = 9Complete the following table:
EquationsValue of
ConstantsRatio of Constants Type of Lines
Unique
Solutions
2 + = 93 + 7 = 15
= = =
=
= =
Intersecting [ ]
Parallel [ ]
Coincident [ ]
Unique [ ]
No solution [ ]
Infinite [ ] = =
=
2 + = 96 + 3 = 15
= = =
= =
= Intersecting [ ]
Parallel [ ]
Coincident [ ]
Unique [ ]
No solution [ ]
Infinite [ ] = = =
6 + 3 = 1512 + 6 = 30
= = =
=
= =
Intersecting [ ]
Parallel [ ]
Coincident [ ]
Unique [ ]
No solution [ ]
Infinite [ ] = = =
Solve the following questions:
1. In an entrance test comprising of 100 questions,
a student scores 6 marks for every correct answer
and loses 2 marks for every wrong answer. If a
student attempted 90 questions and scores 356
marks, then the number of questions answered
correctly are:
(a) 67 (b) 68 (c) 70 (d) 71
2. The number of values of for which the systemof equations:
( + 1) + 8 = 4 + ( + 3) = 3 − 1
has infinitely many solutions, is:
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 6 Page 11
8/17/2019 Class Assignments Book
14/104
(a) 0 (b) 1 (c) 2 (d) Infinite
Solving Quadratic Equations and Relation between roots of quadratic equation:
Equations Root 1 Root 2 Sum of roots Product of roots
+ 3 + 2 = 0 + 4 + 4 = 04 + 4 − _ _ = 0 1
21. Kunal told Kanika that he has either or
marbles. Further he stated that , satisfy theequation − ( + 1) + = 0, then ( +1)( + 1) =(a) 1 − (b) − 1 (c) 1 + (d)
2. If one root of the equation ax + b x + c = 0,
a ≠ 0, be reciprocal of the other, then:
(a) b = c (b) a = c (c) a = 0 (b) b = 0
3. The positive value of ‘m’ for which the roots of
equation + 4( − 2) + 2 7 = 0 are in ratio1:3, is:
(a) 7 (b) 5
(c) 3 (d) 1
4. If , are the roots of the equation 3 + 4 +7 = 0 , then the value of +
is
(a) − (b) − (c) − (d) −
LogarithmFill in the blank Spaces
2 = _____ 3 = _____ 5 = _____
2(___) = 8 3(___) = 27 5(___) =625
log 8 = log 27 = log 625=
Solve the following:
log 10000 = log 512= log 9 =
Properties of log
(a)
loga = b × l o g(a) (b)
log(ab) =log(a) +log(b) (c)
log = l o g(a) −log(b) (d) log a = k k
Important log values:
log 2 = 0.3010 log 3=0.4771
Using the given properties of log, solve the
following:
1. log 4 = 4. log 16 =2. log 6 = 5. log 6 =3. log 0.01 = 6. log 1 =
Solve the following questions:
1. If log 64+log 9 = l o g , then is equal to(a) 105 (b) 107
(c) 1012 (d) 1015
2. If log(5) = c, then bwill be:(a) 4 (b) 5
(c) 25 (d) 625
3. The number of real solutions of the equationlog (−) = 2 log ( + 1) (a) 1 (b) 2
(c) 3 (d) 4
4. If loglog(√ + 4 + ) = 0 , then what is thevalue of?
(a) 1/4 (b) 3/4
(c) 9/4 (d) Cannot be solved
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 6 Page 12
8/17/2019 Class Assignments Book
15/104
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 7Permutation & Combination , Probability
1. How many numbers of following digits canbe formed by using 1, 2, 3, 4, 5 (with
repetition)?
(a) 5 digit (b) 4 digit (c) 3 digit
2. How many six digit numbers can be formed
with 0, 1,2,3,4 and 5? (Without repetitions)
Now play with restrictions:
How many of these numbers are…
i. Even numbers
ii. Between 2000 and 4000
iii. Divisible by 5
3. Find the number of ways in which 6 boys &
6 girls be seated in a row so that:
I. All the boys sit together
II. All the girls are always together
III. All the girls are never together
IV. Boys & girls sit alternatively
V. No two girls may sit together
4. Find if (, + ): (,) = ∶ .
Concept Puzzle: In how many ways can 9
identical balls be arranged?
5. In how many ways can a team of 11
cricketers be selected from 15 players?
I. Total number of ways (unrestricted)
II. In the team a player named ‘Sachin’ must
always be there
III. If out of 15 players, 7 are batsmen, 6 are
bowlers and 2 are wicketkeepers. In howmany ways the team can be formed
comprising of 5 batsmen, 5 bowlers and 1
wicketkeeper?
IV. If out of 15 players, 7 are batsmen, 6 are
bowlers and 2 are wicketkeepers. In how
many ways the team can be formed
comprising of at least 3 batsmen, at least 3
bowlers and 1 wicketkeeper?
V.
If Sachin is selected to play, Kambli must beselected.
VI. If Sachin is selected, Kambli must be selected
and vice versa.
VII. If Sachin is selected to play, then Kambli
must not be in the team.
VIII. In these questions how do you find the
batting orders
6. There are 3 players of each state, Haryana
Delhi & Mumbai respectively. In how many
ways 3 people can be awarded such that atleast 1 person from each state is awarded.
7. If P(n, r) = 720 and C(n, r) = 120, find r?
8. (i) If a dice is rolled. Then answer the
following:
(a) Probability of getting an even
number?
(b) Probability of getting number
greater than 2 and less than 5?
(ii) If two dices are rolled simultaneously,
Find probability of :
(a) Getting sum greater than 6.
(b) Less than or equal to 6.
9. Find:
i. Probability of getting the card with 9
written on it from a pack of 52 cards?
ii. Probability of getting a jack of spade or
queen of hearts from a pack of 52 cards?
10. If we have to pick 3 balls out of a box
containing 3 yellow and 4 black balls then
find probability that we will get all the balls
of same colour.
11. A dice is thrown twice. What is the
probability that at least one of the two
throws comes up with the number ‘4’?
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 7 Page 13
8/17/2019 Class Assignments Book
16/104
QUANTITATIVE APTITUDE
CLASS ASSIGNMENT - 8Probability
1. An urn contains three white and two
blackballs. Balls are drawn one by one with
replacement. What is the probability that a black
ball appears at the fourth draw?
(a) 2
5(b)
24
625
(c)54
625(d)
81
625
2. If A and B are two arbitrary events and we
denote by 1=[ ]+[],
2=[ ∩
], then the probability that exactly oneof the events will occur is
(a) 1−2 (b) 1−22
(c) 1+2 (d) 1
3. Two coins with probability of heads p and q,
respectively are tossed independently. If P (both
coins show up tails) = P (both coins show up
heads), then p +q equals
(a)1
4(b)
1
2
(c)3
4 (d) 1
4. Let A and B be two events such that P (B)>0 and
P (A/B) > P ( /B), then
(a) P (A/B) >1
2(b) P (A/B) =
1
2
(c) P (A/B) <1
2(d) P (A/B) =
1
3
5. The minimum number of tosses of an unbiased
coin, necessary to ensure a probability of getting
at least one head, greater than 0.5 is
(a) 1 (b) 2
(c) 3 (d) 4
6. Event S and T are independent with P(S)
8/17/2019 Class Assignments Book
17/104
QUANTITATIVE APTITUDE
CLASS ASSIGNMENT - 9Sequences and Series, Complex Numbers and Advance Number Systems
Sequences and SeriesConcept Puzzle:
Is number series 1, 2, 3, 4, 5 ….. an arithmetic
progression? Why or Why not?
1. If on 1st January, 20115 you got Rs. 1 , Rs.
2 on the second day, Rs. 3 on the third day
and so on, what will be the amount that
you have on 31st December 2015?
2. If the pth term of an A.P. is ‘q’ and the qth
term is ‘p’, then the rth term is
3. Find four numbers in A.P. whose sum is
20 and the sum of whose squares is 120.
4. If the pth, qth and rth terms of an A.P. are
a, b, c respectively, find the value of a (q-
r) + b(r-p) + c (p-q)
Find the value of: ( ) () … … 5. The first term of a G.P. is 1. The sum of
the third and fifth terms is 90. Find the
common ratio of the G.P.
6. Sum the series to infinity
3
4
-2
5
4
+3
3
4
-4
5
4
+5
3
4
-6
5
4
+…
7. For all 3 digit numbers that leave a
remainder of ‘2’ when divided by 3
(a) Find the number of terms,
(b) Find the sum of number of terms.
8. The sum of first three terms of a G.P. is 16
and the sum of the next three terms is
128. Find the sum of terms of the G.P.
IMPORTANT QUESTION:
Given a series as − − ,and and are and , then find 9. Find the sum to terms of the series
⋯ 10. Find the sum of the series:
…
11. Insert three geometric means between 2
and 32
12. What is the sum of series
√ +√
√ +√
√ +√ ⋯ up to terms
13. Find the value of
∑ =14. Which of the following is Harmonic
Progression?
(a)
2,3,4,5
(b) .
,
,
…
(c) 2,4,5,8(d)
2,4,8,16,32
Complex NumbersIMPORTANT CONCEPTS
What is the cube root of 1?
What is ?1. Find the least positive value of , if
+ −
=1
2. Find real values of x and y for which the
following equalities hold.
QUANTITATIVE APTITUDE CLASS ASSIGNMENT 9 Page 15
8/17/2019 Class Assignments Book
18/104
(a) 5, 7 or 6, 7 (b) 8, 9 or 9, 8 (c) 5, 2 or 5, 2 (d) 7, 10 or – 7, 10
1. Convert
into polar form.
2. If , then find the value[ ]
[ ]
⋯ [ ]
Advance Number System
1. Find the remainder of
2. Find the remainder of
3. What is the remainder of! ?
4. What is the reminder of :
!
=
5. How many zeros are there at the end of
100!
QUANTITATIVE APTITUDE CLASS ASSIGNMENT 9 Page 16
8/17/2019 Class Assignments Book
19/104
QUANTITATIVE APTITUDE
CLASS ASSIGNMENT - 10Sets, Relations & Functions (Part – I)
1. Which of the following is correct?
(a) ⊂ {, }(b) , ⊂ {, , }(c) , ⊂ {, , }(d) None of these
2. Which of the following collection is a set?
(a) The collection of all girls in your class
(b) The collection of intelligent girls in yourclass
(c) The collection of beautiful girls in your
class
(d) The collection of tall girls in your class
3. The set of all subsets of a set A is called
the power set of A and is denoted by
(). If = ,,, then () ?
4. 20 teachers of a school either teach
Mathematics or Physics. 12 of them teach
Mathematics while 4 teach both the
subjects. Find the number of teachers
teaching Physics only.
5. Which of the following is the empty set?
(a) ∶ − 1 = 0 (b) ∶ + 1 = 0
(c) ∶ − 9 = 0 (d) ∶ = + 2
6. Given a relation A from → = (, ) ∶ = + , ≤ ≤ What is the domain, codomain and range
of A?
7. Let = ,,, then the relation =(,),(,),(,) on A is:(a) Reflexive (b) Transitive
(c) Symmetric (d) None of these.
8. Identify the correct match for a function
: → :Type of
functions
Definition
1. Injective
2. Many-one
3. Surjective
4. Bijective
(a)
Every element of
is the
image of some element
of under .(b)
Every element of x
should have a distinct
image in and shouldcover every element of
.(c)
Different element of have different images in
under f .
(d)
If two or more elementsof set have the sameimage in .
9. If a set A contains 4 elements and a set B
contains 8 elements, the maximum
number of elements in ∪ is(a) 4 (b) 12
(c) 8 (d) None of these
10. Let = (, )(, ), (, )(,), (,),(, ) (, ), (, ) be a relation onthe set = ,, , . The relationis
(a) Reflexive and transitive
(b) Reflexive only
(c) An equivalence relation
(d) Reflexive and symmetric only
QUANTITATIVE APTITUDE CLASS ASSIGNMENT 10 Page 17
8/17/2019 Class Assignments Book
20/104
11. What is a function?
12. What is Domain and codomain for a
function?
13. Is the given graph a continuous function?
14. Identify the domain and codomain of the
given graph:
IMPORTANT CONCEPTS:
What is the difference between
codomain and range?
What are one-one, onto and into
functions?
What are the other names of one-one,
onto and into functions?
15. What is the range and codomain of the
function () = √ .
16. Draw the given functions:
||
QUANTITATIVE APTITUDE CLASS ASSIGNMENT 10 Page 18
8/17/2019 Class Assignments Book
21/104
QUANTITATIVE APTITUDE
CLASS ASSIGNMENT – 11Sets, Relations & Function (Part – II) , Height and Distances1. Is || continuous, at ≠ ?2. Given: = , =
Find and . Also find − and−.
3. Given: = || , ≠ 0 0 , = 0The point of discontinuity for the above given
function is: ______________
4. The domain of the function = √ 5. The domain of the function =
√ √ 6. Which of the following pair of functions is
identical?
(a) =√
, = (√
)(b)
= , = (c) =log 1 log 2,
=log12 (d) None of these
7. If = , then the value of ⋯ is:
(a) 998
(b)
1
(c) 499
(d) None of these
8. If = +− , ≠ , find the value of (a) 2
(b) 3
(c) 4
(d) 6
9. Let = {, $}, ={ , , , } then thenumber of distinct relations from A to B is
(a) 8 (b) 9
(c) 2 (d) 6
10. In a class test consisting of Maths and
Physics, 80% passed in Maths and 50%
passed in Physics 15% failed in both
subjects. If 180 students passed in both the
subjects how many students failed in both
the subjects?
(a) 80 (b) 60
(c) 90 (d) 50
11. Rohan found that for a function , = and () = , then thefunction =(a) 2 (b) 3 (c) +5 (d) 2
12. If two sets A and B are defined as
= , | = , x ≠ 0, x ∈ ℝ and = {, | = , ∈ ℝ}, then(a) A ∩ B = A(b) A ∩ B = B(c) A ∩ B = ϕ(d) None of these
Height and Distances1. A radio transmitter antenna of height 100 m
stands at the top of a tall building. At a
point on the ground, the angle of elevation
of bottom of the antenna is 45° and that of
top of antenna is 60°. What is the height of
the building?
(a) 100 m (b) 50 m
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 11 Page 19
8/17/2019 Class Assignments Book
22/104
(c) 50(√3+1) m (d) 50(√3-1) m
2. The angle of elevation of the top of an
unfinished pillar at a point 150 m from its
base is 30°. If the angle of elevation at the
same point is to be 45°, then the pillar has
to be raised to a height of how many
meters?
(a) 59.4 m (b) 61.4 m
(c) 62.4 m (d) 63.4 m
3. A ladder 25 m long is leaning against a wall
which is perpendicular to the level ground.
The bottom of the ladder is 7 m from the
base of the wall. If the top of the ladder slips
down 4 m, how much will the bottom of theladder slip?
(a) 7 m (b) 8 m
(c) 10 m (d) 15 m
4. The shadow of a pole 6 metre high is 15
metre long and at the same time the
shadow of a tree is 25 metre long. What is
the height of the tree?
(a) 21 m (b) 10 m
(c) 35 m (d) None of the above
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 11 Page 20
8/17/2019 Class Assignments Book
23/104
QUANTITATIVE APTITUDE
CLASS ASSIGNMENT – 12Limits, Continuity and Differentiation
CONCEPT:
What do you understand by the concept of
limits?
1. Find lim→( 4) 2. Find lim→ −−5+63. limx→
−
−9 is :(a) (b)
(c) 1 (d) -1
4. Find the exact value of → √ −−√ (a)
√ 3(b) 0
(c) √
(d)
The limit does not exist
CONCEPT:
What is the requirement for a function to be
continuous?
5. The given function:
() = { , ≠ , = (a) Is continuous at = 0 (b) Not continuous at
= 0
(c)
Continuous but not differentiable at = 0 (d) Both continuous and differentiable at = 0 6. For what value of k is the given function
continuous?
() = − , ≠ , = _________
7. The points of discontinuity for () = || are(a) 0.±1(b) 1,1(c) 0, 1(d)
0,18. The graph of a function () is shown
below. Which of the following
statements are true of ()?
(i) →− () = 2 (ii) →− () = 1 (iii) →− () does not exist(iv) → () = 1 (v) → () does not exist(a) Only (i) and (iv) are true
(b)
Only I and V are true
(c)
Only II and IV are true
(d)
Only II and V are true
9. Consider again the function g(x) whose
graph is shown in problem 8. Which of
the following statements are true of g(x)?
I. g is continuous at x = -1
II. g is continuous at x = 1
III. g is differentiable at x = -1
IV. g is differentiable at x = 0
V. g is differentiable at x = 1
(a) only I and IV are true
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 12 Page 21
8/17/2019 Class Assignments Book
24/104
(b)
only II and IV are true
(c)
only I and V are true
(d)
only II and V are true
10. What is the derivative of:
(a)
(b)
(c)
+ (d) c o s 4
(e)
g (f) e+ w. r.t ′t′ 11. If = In −, then =
(A) − (B) (C)
− (D) 0
12. If a function has the equation ( ), then what is its value at = ?
13. What will be the slope of the line parallel
to the curve at = 14. What will be the slope of the line
perpendicular to the curve
at = 15. Given a curve . Fid its
(a) Minimum Value (b) Maximum
Value
16. The Profit of a company is given by() = . Themaximum profit that the company can
make is:
17. For the graph of f(x) depicted, what is the
value of()
at the point ‘a’?
(a) zero (b) positive
(c) Negative (d) None of these
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 12 Page 22
8/17/2019 Class Assignments Book
25/104
QUANTITATIVE APTITUDE
CLASS ASSIGNMENT – 13Co-ordinate Geometry, Integration
Co-ordinate Geometry
1. The equation of the line through the point of
intersection of 3x-y-1=0 and x-3y+5=0,
passing through the point (1,5) is
(a) 2x-y+5=0 (b) 2x+y+5=0
(c) x+y=0 (d) x=1
2. The points (0,8/3), (1,3) and (82,30) are the
vertices of
(a) An obtuse-angled triangle
(b) A right-angled triangle
(c) An isosceles triangle
(d) None of these
3. The line segment joining (-3,-4) and (1,-2) is
divided by y-axis in the ratio
(a) 1: 3 (b) 2: 3 (c) 3: 1 (d) 3: 2
4. The locus of the point, the sum of whose
distances from the coordinate axes is 9 is
(a) = 9 (b) = 9(c) = 9 (d) None of these
5. The equation of the line passing through the
point (1,1) and perpendicular to the 3x+4y-
5=0 is
(a) 3x+4y-7=0 (b) 3x+4y+k=0
(c) 4x-3y+1=0 (d) 4x-3y-1=0
6. The centroid of a triangle formed by (7,p),(q,-
6),(9,10) is (6,3), then (p,q)=
(a) (4, 5) (b) (5, 4)
(c) (-5,-2) (d) (5, 2)
7. The base vertices of a right angled isosceles
triangle are (2,4) and (4,2) then its third vertex
is
(a) (1, 1) or (2, 2) (b) (2, 2) or (4, 4)
(c) (1, 10) or (3, 3) (d) (2, 2) or (3, 3)
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 13 Page 23
8/17/2019 Class Assignments Book
26/104
Integration
1. ∫ =(a) (b) (c) (d) log
2. ∫ dx is equal to.(a) cotx-tanx+c (b) cotx+tanx+c
(c) –cotx+tanx+c (d) –cotx-tanx+c
3. If ∫ + = ,then
(a) a = 4 , =arbitrary constant(b) a =
4 , =arbitrary constant
(c) a =
, =arbitrary constant
(d) None of these
4. ∫
+ is equal to(a) tan− (b)
6 tan
− (c) tan
− (d)
tan
−
5. ∫ √ dx is equal to:(a) √ +A(b)
√ (c) 2(√ 1)√ (d)2(√ 1)√ , A is an arbitraryconstant
6. ∫ +
+
dx is equal to
(a) x−++C
(b)
x−++C
(c)
x+−+C
(d) None of these
7. ∫ +−+dx is equal to
(a)
−
− 4 ⃓
+−⃓
(b)−
−
− 4 ⃓
+−⃓
(c) −− − 4 ⃓ +−⃓ (d) None of these
8. ∫ −
+ dx is equal to
(a) x+logx+log
1-tan− (b) x-logx+
log
1-tan− (c) x-logx-
log
1-tan− (d) None of these
9. I=∫ +
−dx is equal to:
(a) sin
− √ 1 (b)
sin
− √ 1 (c)
[3sin
− √ 1 ] (d)
sin
− √ 1
10. ∫ + = (a)
4
(b)
log 1
(c)
log 1
(d)
+
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 13 Page 24
8/17/2019 Class Assignments Book
27/104
QUANTITATIVE APTITUDE
CLASS ASSIGNMENT – 14Mensuration / Matrices / Determinants
1. If [ − − − − − ] = [ − − − − ]
Find the values of a, b, c, x, y and z
2. State True / False
(a) The value of determinant is changed if
rows & column and interchanged
(b) If any two rows & column are
interchanged, then the value of
determinant changes by minus sign
only.
(c) If any two rows & Column are identical
then value of determinant is equal to 1.
(d) If each element of row (column) are
zero, the determinant is also equal to 0.
3. Construct a × matrix = whoseelements are given by +
4. If A & B are two matrices then which of the
following is true?
(a)
(
)
= (b) ( ) = , A and B being of same order.(c) () = , K be any scalar(d) ( ) = . (e) All of these
5. Show that the points ( , ), ( , ) and( ,) are collinear.6. State true or false:
(a) All zero matrix are equal.
(b) All diagonal matrix are square matrix
(c) All identity matrix are scalar matrix
(d) If product of two matrix is zero matrix
then one of the matrix must be 0.
7. If A, B and C are matrices with orders 3x3, 2x3
and 4x2 respectively, how many of the following
matrices are defined?
(i) 6B (ii) A +B (iii) 3BT+ C (iv) AB
(v) BTA (vi) (CB)T
(vii) CBA
8. Find area of shaded region. (Take = 22/7)
9. The length of a room is double the breadth. The
cost of colouring the ceiling at Rs. 25 per sq.m is
Rs 5,000 and the cost of painting the four walls at
Rs. 240 per sq. m is Rs. 64,800. Find the height of
the room.
10. A well of 11.2 m diameter is dug 8m deep. The
earth taken out has been spread all around it to a
width of 7 m to form a circular embankment. Find
the height of this embankment?
11. What is the value of:
(i) Interior angle and
(ii) Exterior angle of a regular decagon?
12. Find the value of AB in the following figure:
Here,
= , = , =
13. What is the value of ‘x’ in the following figure?
Given, ∠ = ° KL is the diameter.
14. In a triangle ABC, O is the center of incircle PQR,
BCA = 75° and BAC = 65°, find ROQ:
14
r
DA
C B
P
3 6 4
K
L
N
O
M 60°
8/17/2019 Class Assignments Book
28/104
QUANTITATIVE APTITUDE
CLASS ASSIGNMENT – 15Vector & 3-D
Vector
1. Vectors (p,q) and (5,1) are parallel if
(a) pq=5 (b) q=5p
(c) p+q=5 (d) p=5q
2. If a,b,c are three vectors such that a+b=c, then
b is called.
(a) a projection of c
(b) a complement of c
(c) a component of c
(d) None of these
3. If a=(1,-1) and b=(-2,m) are two collinear
vectors, then m=
(a) 4 (b) 3 (c) 2 (d) 0
4. If a and b are two non-zero and non-colliners
vectors, then a+b and a-b are
(a) linearly dependent vectors
(b) linearly independent vectors
(c) linearly dependent and independent vector
(d) None of these
5. If i+2j+3k is parallel to the sum of vectors
3i+ j+2k and -2i+3j+k, then is equal to:(a) 1 (b) -1
(c) 2 (d) -2
6. If the point A,B,C and D have position vectors
a,2a+b,4a+2b and 5a+4b respectively. Then
the three collinear points are
(a) A, C and D (b) B, C and D
(c) A,B and C (d) A,B and D
7. The vector ⃗ = ̂+4 is to be written as
the sum of a vector ⃗ parallel to ⃗ = i+j
and a vector ⃗ perpendicular to ⃗ . Then⃗ =
(a)
( ̂̂ )
(b) ( ̂̂ )
(c)
( ̂̂ )
(d)
( ̂̂ )
8. If vectors a +̂2b +̂a and (2b-c) ̂+(3a+c) ̂+b are parallel, then unit vector in theirdirection is
(a)
√ 7(2̂ 3̂ 2)
(b)
√ (̂ 2̂ ) (c)
√ (̂ 3̂ )
(d)
(2̂ ̂ 2)
9. If the version ̂ ̂ and ̂ ̂ are orthogonal to each otherthen the locus of the point (x,y) is
(a) A circle (b) an ellipse
(c) A parabola (d) a straight line
10. The projection of the vector ̂ ̂ on the vector ̂ ̂ is
(a) √
(b) 2
(c)√
(d)
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 15 Page 26
8/17/2019 Class Assignments Book
29/104
3-D
1. If ,, are the angles which a half ray makeswith the positive directions of the axes, then
(a) 1 (b) 2
(c) 0 (d) -1
2. The point equidistant from the points
(0,0,0),(1,0,0),(0,2,0) and (0,0,3) is
(a) (1, 2, 3) (b) (
, 1,
)
(c) (
,1,
) (d) none of these
3. The distance of the point (1, 2, 3) from the
coordinate axes are A, B and C respectively.Now consider the following equations.
1. =
2. = 2
3. 2 = 13
(a) 1 only (b) 1 & 3
(c) 1 & 2 (d) 2 & 3
4. The ratio in which the join of (2,1,5) and
(3,4,3) is divided by the plane (x+y-z)= 1/2 is
(a) 3:5 (b) 5:7
(c) 1:3 (d) 4:5
5. The direction ratio of the line OP are equal
and the length OP=√ . Then the coordinatesof the point P are
(a) (-1,-1,-1) (b) (√ 3, √ 3, √ 3)
(c) (√ 2, √ 2, √ 2) (d) (2, 2, 2)
6. If a line makes angles
°and
° with x-axis
and y-axis respectively, then the angle which
this line subtends with z-axis is
(a) 35° (b) 45° (c) 55° (d) 90°
7. If A=(1,2,3), B=(-1,0,2), C=(1,-1,2) and D is the
foot of the perpendicular from A on BC. Then
BD:
(a) 3:2 (b) 2:3
(c) 3:1 (d) 1:3
8. The circumcentre of the triangle formed by
the points (1,0,0), (0,1,0) and (0,0,1) is
(a) the origin (b) (1,1,1)
(c) (
,
,
) (d) (-1,-1,-1)
9. The angle between the lines (x=1,y=2) and
(y=-1,z=0) is
(a) 90° (b) 30°
10. The angle between the lines whose directionratios are 1,1,2 and √ -1,-√ -1,4 is(a) 45° (b) 30° (c) 60° (d) 90°
11. The angle between the straight lines+
=
−
=
+
and
−
=
+
=
−
− is
(a) 45° (b) 30° (c) 60° (d) 90°
12. The coordinates of A,B,C,D are (3,5,-3), (2,3,-
1), (1,2,3) and (3,5,7) respectively. Then
(a)
AB is perpendicular to CD
(b)
AB is parallel to CD
(c)
The angle between AB and CD is /3(d)
The angle between AB and CD is 2/3
13. The angle between a line with direction
ratios 2:2:1 and a line joining (3,1,4) to
(7,2,12) is
(a) cos−(
) (b) cos−(
)
(c) −(
) (d) none of these
14. The angle between the lines whose direction
cosines satisfy the equations
L+m+n=0 and 2lm+2nl-mn=0 is
(a) 60° (b) 90° (c) 120° (d) 150°
QUANTITATIVE APTITUDE CLASS ASSIGNMENT - 15 Page 27
8/17/2019 Class Assignments Book
30/104
LOGICAL REASONING CLASS ASSIGNMENT - 1Logical Venn Diagrams, Venn Diagrams, Seating Arrangement
Logical Venn DiagramsThese questions are based on the following
figures.
Study the figures carefully and then answer the
questions given below it.
(a) (b)
(c) (d)
(e)
1. Mothers, Women, Divorcees
2. Historian, Scientist, Economist
3. Travelers, Train travellers, Bus travellers
4. Donkey, Pet, Horse
Venn Diagrams
1. In a certain region, the number of children who
have been vaccinated against rubella is twice
the number who have been vaccinated against
mumps. The number who have been
vaccinated against both is twice the number
who have been vaccinated only against mumps.
If 5,000 have been vaccinated against both,
how many have been vaccinated only against
rubella?
(a) 2,500 (b) 7,500
(c) 10,000 (d) 15,000
(e) 17,500
2. In a class test consisting of mathematics and
physics, 80% passed in mathematics and 50%
passed in physics. 15% failed in both the
subjects. If 180 students passed in both the
subjects, how many failed in both the subjects?
(a) 80 (b) 60
(c) 90 (d) 50
Direction for Questions 3 to 5: Answer the
questions based on the following information.
Data on the 468 students, who took an
examination Chemistry, Physics and
Mathematics, is as follows:
Passed in all the subjects 197
Failed in all the subjects 70
Failed in Chemistry 170
Failed in Physics 210Failed in Mathematics 192
Passed in Chemistry only 64
Passed in physics only 51
Passed in Mathematics only 46
3. How many failed in Chemistry only?
(a) 84 (b) 49
(c) 3 (d) 100
4. How many failed in one subject only?
(a) 40 (b) 161(c) 237 (d) 70
5. How many passed in at least one subject?
(a) 197 (b) 398
(c) 70 (d) 271
6. 30% people of Saharanpur like cold weather,
40% like summer, 55% like autumn. 18% like
cold and summer, 20% like summer and
LOGICAL REASONING CLASS ASSIGNMENT - 1 Page 28
8/17/2019 Class Assignments Book
31/104
autumn, 12% like cold and autumn. 10% like all
three weathers.
(a) How many like none of the weathers
(b) How many like only cold
(c). How many like only cold and summer.
(d). How many like cold and autumn.
(e). How many like atleast one(f). How many like only one
(g). How many like at least two.
7. One hundred and twenty-five aliens descended
on a set of film on extra-terrestrial beings. Of
these, 40 had two noses, 30 had three legs, 20
had four ears, 10 had two noses and three legs,
12 had three legs and four ears, 5 had two
noses and four ears, and 3 had all the three
unusual features. How many were there
without any of these unusual features?(a) 5 (b) 35
(c) 80 (d) None of these
8. There are two types of employees in Sun
Metals, general graduates and engineers. 40%
of the employers in Sun Metals are general
graduates and 75% of the engineers earn more
than Rs 5 lakhs per year. If 50% of the
organization’s employees earn more than 5
lakhs per year, what proportion of general
graduates employed by the organization earn
Rs 5 lakhs or less? (a) 3/5 (b) 3/4
(c) 1/2 (d) none of these
9. Of 30 students who took the GMAT, 14 had
been out of school for at least 3 years, 18 had
business degree, 3 had been out of school for
less than 3 years and did not have business
degrees. How many students had been out of
school for at least 3 years and had degrees in
business
(a) 14 (b) 13(c) 9 (d) 7
(e) 5
Seating ArrangementLinear Arrangement
Direction for questions 10 to 12: Read thefollowing information carefully and answer the
questions given below:
(i) A, B, C, D, E, F, G and H are standing in a row
facing North.
(ii) B is not adjacent to G.
(iii) F is to the immediate right of G and is also
adjacent to E.
(iv) G is not at either extreme.
(v) A is sixth to the left of E.
(vi) H is sixth to the right of C.
10. Who among the following are not adjacent to
each other?
(a) AC (b) DG
(c) FH (d) CB
11. Which one among the following defines the
position of D?
(a) Fifth to the left of H
(b) Third to the right of C
(c) Neighbour of B and E
(d) To the immediate right of B.12. Which of the following is true?
(a) C is to the immediate left of A
(b) G is to the immediate Right of D
(c) Both (a) and (b)
(d) None of these
There are ten lights in a row on a control board.
The lights are numbered—1 to 10—in sequence
from left to right. Each light is either on or off.
The following is also known:
No two consecutively numbered lights are on.No three consecutively numbered lights are off.
Exactly four of the ten lights are on.
Light 3 is off.
13. If light 4 is off, which of the following must be
true?
(a) Light 1 is on (b) Light 2 is off
(c) Light 5 is off (d) Light 6 is off
(e) Light 7 is on
LOGICAL REASONING CLASS ASSIGNMENT - 1 Page 29
8/17/2019 Class Assignments Book
32/104
14. If lights 9 and 10 are off, which of the following
must be true?
(a) Light 1 is on (b) Light 2 is off
(c) Light 4 is on (d) Light 5 is on
(e) Light 6 is off
15. If light 6 is on and light 8 is off, for how many of
the lights can on-off status be determined?
(a) 4 (b) 5
(c) 6 (d) 7
(e) 8
Circular Arrangement
Direction for Q.16 to Q.18: Six friends Ajay,
Rohit, Sony, Donald, Mickey and Tom are
sitting around a circular table facing the center?
1. Tom is sitting in between Mickey and Ajay.
2. Sony is sitting in between Ajay and Rohit.3. Mickey is on left of Donald.
16. Who is sitting to the left of Rohit?
(a) Ajay (b) Sony
(c) Donald (d) Mickey
(e) None of these
17. Which person is sitting to the right of Sony?
(a) Ajay (b) Rohit
(c) Donald (d) Mickey
(e) Tom
18. Which of the condition if removed will doesn’t
effect to solve earlier questions?
(a) 1 (b) 2
(c) 3 (d) All of these
(e) None of these
Direction for Q.19 to Q.22: Six men are sitting
around a round table facing its centre. They are
A, B, C, D, F and G. F is not between B and D but
some other one. A is next to the left of G, C is
fourth to the right of A
19. Which of the following is NOT true?(a) D is just next to the right of C
(b) F is just next to the right of G
(c) C is second to the left of F
(d) A is second to the right of C
20. If A and C interchange their positions then
which of the following pair will sit together?
(a) CF (b) AG
(c) GC (d) BG
21. What is the position of F?
(a) Just next to the right of B
(b) Second to the left of A
(c) Between B and C
(d) To the immediate right of G
22. Which one is sitting diagonally opposite to G?
(a) B or D (b) C
(c) F (d) A
LOGICAL REASONING CLASS ASSIGNMENT - 1 Page 30
8/17/2019 Class Assignments Book
33/104
LOGICAL REASONING CLASS ASSIGNMENT - 2Syllogism, Series, Data Interpretation - I
SyllogismTreat the statement(s) to be true and verify
the conclusions for the following:
1. Statement 1: All jets are fast.
Statement 2: All fast are exciting.
Conclusion 1: All jets are exciting.
Conclusion 2: All exciting are jets.
Conclusion 3: Some exciting are jets.
2. Statement 1: All jets are fast.
Statement 2: All jets are exciting.
Conclusion 1: All fast are exciting.
Conclusion 2: All exciting are fast.
Conclusion 3: Some fast is exciting.
3. Statement 1: All jets are fast.
Statement 2: Some fast is exciting
Conclusion 1: Some exciting are fast.
Conclusion 2: Some exciting are jets.
Conclusion 3: All exciting are fast.
Conclusion 4: Some fast is jet.
4. Statement 1: Some jets are fast.
Statement 2: Some fast is exciting.
Conclusion 1: Some exciting are fast.
Conclusion 2: Some exciting are jets.
Conclusion 3: All exciting can be fast.
5. Statement 1: Some jets are fast.
Statement 2: No fast is exciting.
Conclusion 1: No jet is exciting.
Conclusion 2: Some jets are not exciting.
Conclusion 3: Some exciting are not jets.
6. Statement 1: All jets are fast.
Statement 2: No fast is exciting.
Conclusion 1: No jet is exciting.
Conclusion 2: No exciting is jet.
7. Statement 1: All jets are fast.
Statement 2: No jet is exciting.
Conclusion 1: No exciting is a fast.
Conclusion 2: No exciting is jet.
Conclusion 3: Some fast are not exciting.
Conclusion 4: Some exciting are not fast.
8. Statement 1: No jet is fast.
Statement 2: No fast is exciting.
Conclusion 1: No jet is emotion.
Conclusion 2: Some jets are not exciting.
Conclusion 3: Some jets are exciting.
Practice Exercise
9. Statements:
(i) All knives are hammers.
(ii) No hammer is sword.
(iii) Some swords are nails.
Conclusions:
I. Some nails are hammers.
II. Some swords are knives
III. No nail is hammer.
Chose the correct option:
(a) None follow(b) Only either I or III follow
(c) Only II follow
(d) Only III follow
(e) Only I follow
10. Statements:
(i) All hills are roads.
(ii) All roads are stones.
(iii) All stones are jungles.
(iv) All jungles are rivers.
Conclusions:I. Some rivers are stones.
II. Some Jungles are hills.
III. Some stones are hills.
IV. All rivers are jungles.
Chose the correct option:
(a) Only I and II follow
(b) Only II and III follow
(c) Only I, II and III follow
LOGICAL REASONING CLASS ASSIGNMENT - 2 Page 31
8/17/2019 Class Assignments Book
34/104
(d) Only II, III and IV follow
(e) All follow
11. Statements:
(i) Some apple is bat.
(ii) No bat is cap.
Conclusions:
(i) Some apple is cap.
(ii) No apple is cap.
Chose the correct option:
(a) Only (i) follows
(b) Only (ii) follows
(c) Either (i) or (ii) follows
(d) None follows
12. Statements:
(i) All drivers are mechanics.
(ii) All mechanics are cleaners
Conclusions:
(i) All cleaners are drivers.
(ii) Some drivers are mechanics.
(iii)
All drivers are cleaners.
(iv)
Some cleaners are mechanics.
Chose the correct option:
(a) All conclusions follow
(b) Only (ii) (iii) (iv) follow
(c) Only (iii) (iv) follow
(d) Only (ii) (iii) follow
13. Statements:
Some elephants are rats. All rats are flowers.
Some flowers are not elephants.
Conclusions:
(I)
Some flowers are elephants.
(II)
All elephant are flowers.
(III)
All rats are elephants
(IV) No flower is an elephant
Chose the correct option
(a) Only I follows
(b) Only I and II follow
(c) Only II and III follow
(d) None follows
14. Statements:
All pens are papers. All papers are aeroplanes.
All aeroplanes are skies.
Conclusions:
(I)
All pens are skies
(II) All skies are papers
(III) All aeroplanes are pens
(IV)
All papers are skies
Chose the correct option
(a) Only I follow
(b) Only I and III follow
(c) Only I and IV follow
(d) Only III and IV
SERIESNumeric Series
1. 2, 4, 7, 11, 16, 22, __
2. 720, 504, 336, 210, __
3. 86, 78, 87, 77, 88, ___ , ____
4. 21, 15, 6, 25, 11, 3, 29, 7, 0, __
5. 1, 5, 17, 37, 65, ___
6. 2, 6, 12, 20, 30, 42, ____
7. 0, 6, 24, 60, 120,8. 11, 41, 161, 641 _____
9. 5, 15, 60, 300, ____
10. 3505, 700, 135, ___
Alphabet and Alphanumeric series
1. A, Z, B, Y, C, X, D, __
2. E5V, J10Q, O15L, T20G, Y25B___
3. ND, IY, DT, YO, TJ,__
4. abb _ baa _ a _ bab _ aba
(a) abba (b) abab
(c) ccac (d) aabb
Practice Questions
1. 3, 8, 11, 19, 30, 49, __
2. 0, 2, 3, 10, 15, 26, 35, 50, 63, __
3. 2, 7, 20, 61, 182, 285__
4. RQP, ONM, LKJ, __ , FED
5. -3, -2, 5, 24, 61, 122, ____
6. 36, 9, 27, 6, 21, 3, ___
7. 0, 0, 4 , 18, 48, 100, 180, __
LOGICAL REASONING CLASS ASSIGNMENT - 2 Page 32
8/17/2019 Class Assignments Book
35/104
1. How many companies have the same
rank by sales, and by profit (if arranged
in their decreasing order) in the last year
for which data is available?
(a) None (b) 1
(c) 2 (d) 3
2. If the companies are arranged on thebasis of total assets in decreasing order
in 2000-01 and similar lists are prepared
based on sales and profit parameters
also for the same year, how many
companies will be among top ten in all
the three lists?
(a) 6 (b) 7
(c) 8 (d) 9
3. Which of the following statements is not
true?
(a)
All the companies which have decline
in sales in 2001-02 have experienced
decline in the profit also.
(b) Top two companies by avg mkt cap
(AMC) have combined AMC
exceeding 25 times combined AMCof bottom two companies by this
parameter.
(c) In 2001-02, 13 companies saw their
sales as well as profit going up.
(d)
There are 5 companies with total
assets exceeding 1000 lakh in 2000-
01.
Data Interpretation - I
Directions for Q1 to Q 3 : Study the data of 19 companies and answer the questions (all figures in Rs. Crore)
LOGICAL REASONING CLASS ASSIGNMENT - 2 Page 33
8/17/2019 Class Assignments Book
36/104
Post Class Assignment
Question 1-10
In each question, three (or two) statements
are followed by four conclusions I, II, III, IV.
You have to take the given statements to betrue even if they appear to be at variance
with commonly known facts, and then
decide which of the conclusions logically
follow(s) from the given statements. For
each question, mark out an appropriate
answer choice that you think is correct.
1. Statements
1. All small are books.
2. Some books are windows.
3. No windows is pencil.
Conclusions:
I. Some windows are small.
II. Some books are pencils.
III. No window is small.
IV. Some books are not pencils.
Chose the correct option
(a) I and either II or IV follow
(b) I, III and IV follow
(c) I, II and III follow
(d) IV follows.
2. Statements:
1. Some blacks are Canadians.
2. Some Indian are black.
3. No Indian is white.
Conclusions:
I. Some Canadians are Indian.
II. Some whites are blacks.
III. Some whites are not black.
IV. Some blacks are not whites.
Chose the correct option
(a) I and IV follow.
(b) II and III follow.
(c) Only III follow.
(d) Only IV follow.
3. Statements:
1. All goats are boxes.
2. Some goats are flowers.
3. No chocolates are boxes.
Conclusions:
I. Some flowers are chocolates.II. No goats are chocolates.
III. Some flowers are boxes.
IV. Some flowers are not chocolates.
Chose the correct option
(a) II, III and IV follow
(b) I, III and IV follow.
(c) Only II and III follow
(d) Only III and either I or IV follow
4. Statements:
1. Some cookies are papers.
2. All papers are chocos.
3. Some chocos are trams.
Conclusions:
I. Some cookies are trams.
II. Some papers are trams.
III. Some trams are papers.
IV. Some chocos are cookies.
Chose the correct option
(a) Only II and III follow
(b) I and IV follow(c) Only IV follows
(d) II, III and IV follow
5. Statements:
1 No foods are mangoes.
2. No oranges are potatoes.
3. All mangoes are oranges.
Conclusion:
I. Some foods are not oranges.
II. Some oranges are not foods.
III. No mangoes are potatoes.IV. Some oranges are foods.
Chose the correct option
(a) Only III and I follow
(b) Only II and IV follow
(c) Either II or IV follow
(d) Only II and III follow.
6. Statements:
1. All coats are paints.
LOGICAL REASONING CLASS ASSIGNMENT - 2 Page 34
8/17/2019 Class Assignments Book
37/104
2. No paints are shirts.
3. Some shirts are vests.
Conclusions:
I. Some vests are not shirts.
II. Some coats are shirts.
III. No coat is a shirt.
IV. Some vests are not coats.
Chose the correct option
(a) I, II and III follow
(b) I and IV follow.
(c) I and III follow
(d) III and IV follow.
7. Statements:
1. All boxes are tables.
2. No desks are tables.
3. Some desks are curtains.
Conclusions:
I. No boxes are desks.
II. Some boxes are desks.
III. Some curtains are not boxes.
IV. Some curtains are boxes.
Chose the correct option
(a) III and either I or II follow
(b) I and either III or IV follow
(c) Either I or II and either III or IV follow
(d) I and III follow
(e) None of the above
8. Statements:
1. Some trees are sharks.
2. Some sharks are balloons.
Conclusions:
I. All balloons are sharks.
II. All balloons are trees.
III. Some trees are balloons.
IV. No tree is a balloon.
Chose the correct option
(a) Only I follows
(b) Only II and III follow
(c) Only either I or III follows
(d) Only either I or IV follows
(e) Only either III or IV follows
9. Statements:
1. Some stars are birds.
2. No birds are elephants.
Conclusions:
I. Some stars are not elephants.
II. All stars are elephants.
III. Some elephant are not stars.
IV. All elephants are stars.
Chose the correct option
(a) Either I or II and either III or IV follow
(b) Only I follows
(c) Either III or IV follows
(d) I and III follow
(e) I and either III or IV follow
10. Statements:
1. Some copies are desks.
2. No desks are pens.
Conclusions:
I. Some copies are pens.
II. Some copies are not pens.
III. Some pens are desks.
IV. Some pens are not desks.
Chose the correct option
(a) Only II follows
(b) II and III follow
(c) Either I or II follows
(d) II and IV follow
(e) Either III or IV follows
LOGICAL REASONING CLASS ASSIGNMENT - 2 Page 35
8/17/2019 Class Assignments Book
38/104
LOGICAL REASONING CLASS ASSIGNMENT – 3Analytical Reasoning, Data Interpretation - II
Analytical ReasoningDirections: Read the text and the statements
carefully and answer the questions.
A. Four people of different nationalities live on
the same side of a street in four houses, each of
different colour. Each person has a different
favourite drink. The following additional
information is also known:
(i) The Englishman lives in the red house.
(ii) The Italian drinks tea.
(iii)
The Norwegian lives in the first house on the left(iv) In the second house from the right, they drink
milk
(v) The Norwegian lives adjacent to the blue house.
(vi) The Spaniard drinks fruit juice
(vii) Tea is drunk in the blue house.
(viii) The white house is to the right of the red house.
1. Milk is drunk by:
(a) Norwegian (b) Englishman
(c) Italian (d) None of these
2. The Norwegian drinks:
(a) Milk (b) Cocoa
(c) Tea (d) Fruit Juice
3. Which of the following is not true?
(a) Milk is drunk in the red house
(b) Italian lives in the blue house
(c) The Spaniard lives in a corner house
(d) The Italian lives next to the Spaniard
B.
P, Q, R, S live together in a house(i) P lives with his/her parents
(ii) Q lives with at least 3 persons younger than
him/her
(iii) S lives with his mother, and is older than at least
2 people living with him
(iv) R lives with his/her son and is not older than S
4. Total number of persons in the house is
(a) 3 (b) 4
(c) 5 (d) 6
5. Q is P’s
(a) Father (b) Mother
(c) Son (d) Grandmother
6. S is P’s
(a) Brother (b) Father
(c) Mother (d) Sister
7. R is Q’s
(a) Daughter (b) Son
(c) Grandson (d) Daughter- in- Law
8. R is S’s
(a) Wife (b) Son
(c) Husband (d) Daughter
C.
Six scientists A, B, C, D, E and F are to present a
paper each at a one-day conference. Three of
them will present their paper in the morning
session before the lunch break while the other
three would present it in the afternoon session.
The lectures have to be scheduled in such away that they comply with the following
restrictions
(i) B should present his paper immediately before
C’s presentation; their presentations cannot be
separated by the lunch break
(ii) D must be either the first or the last scientist to
present his paper
9. In case C is the fifth scientist to present his
paper then B must be
(a) First (b) Second(c)Third (d) Fourth
10. B could be place in any of the places in the
order of presenters EXCEPT
(a) First (b) Second
(c) Third (d) Fourth
11. In case F is to present his paper immediately
after D presents his paper, then C could be
LOGICAL REASONING CLASS ASSIGNMENT - 3 Page 36
8/17/2019 Class Assignments Book
39/104
scheduled for which of the following places in
the order
(a) Second (b) Third
(c) Fourth (d) Fifth
12. In case F and E are fifth and sixth presenters
respectively then which of the following mustbe true?
(a) A is first in the order
(b) A is third in the order
(c) A is fourth in the order
(d) B is first in the order
D.
A whole seller dealing in readymade garments
sent a consignment of two brands of shirts to a
retailer by goods train. However, the
consignment was tampered in transit and the
retailer refused to accept it. Meanwhile, wholeseller also lost the details of consignment in a
fire in his accounting office. Later on only
following data about number of T-shirts sent
could be recovered:
A frenetic search for more data revealed the
following facts about consignment:*60% of the shirts were of size Large or Extra
Large
*Brand B shirts formed 45% of the consignment
*50% of Brand A shirts were of Medium size
13. What percentage of the Brand B shirts are of
size ‘L’?
(a) 37% (b) 25%
(c) 50% (d) 33%
14. What percentage of Large size shirts belong to
Brand A?
(a) 49% (b) 42%
(c) 52% (d) 30%
15. How many Brand ‘A’ shirts are of Large size?
(a) 91 (b) 94
(c) 63 (d) None of these
SELECTION BASED ON GIVEN CONDITIONS
E. Direction: Shahrukh Khan in Chak De!! wants to
build a composite team of six members for next
Olympics. He has with him six men (Dhanraj,
Deepak, Deevesh, Ramandeep, Mohd. Riaz, and
Barla) and five girls (Bindia Naik, Nethra Reddy,
Preeti Sabharwal, Komal Chautala and Vidya
Sharma).
Following things need to be taken care of:
1. Dhanraj and Ramandeep have to be
together.
2. Deevesh will not like to be in a team with
Komal Chautala.
3. Komal Chautala and Vidya Sharma have to be
together.
4. Deepak does not like to be in team with
Mohd. Riaz.
5. Ramandeep will not like to go with BindiaNaik.
6. Deepak and Preeti Sabharwal have to be
together.
7. Deevesh and Nethra Reddy have to be
together.
16. If Sharukh Khan chooses five males in team,
then which fortunate lady got into the team?
(a) Bindia Naik (b) Nethra Reddy
(c) Preeti Sabharwal (d) Komal Chautala
(e) None of these
17. If including Bindia Naik, the team has three
ladies, then how is the team composed?
(a) Deepak, Deevesh, Barla, Nethra Reddy &
Preeti Sabharwal
(b) Dhanraj, Ramandeep, Mohd. Riaz, Komal
Chautala, Vidya Sharma
(c) Dhanraj, Ramandeep, Deepak, Komal
Chautala, Vidya Sharma
(d) Deepak, Barla, Preeti Sabharwal, Komal
Chautala, Vidya Sharma
(e) None of these
18. If including Deevesh the team has four male
members, then what are the other members of
the team?
(a) Dhanraj, Ramandeep, Deepak, Nethra Reddy,
Preeti Sabharwal
(b) Dhanraj, Ramandeep, Mohd. Riaz, Bindia
Naik, Nethra Reddy
LOGICAL REASONING CLASS ASSIGNMENT - 3 Page 37
8/17/2019 Class Assignments Book
40/104
(c) Barla, Ramandeep, Mohd. Riaz, Dhanraj,
Nethra Reddy
(d) Deepak, Mohd. Riaz, Barla, Preeti Sabharwal,
Nethra Reddy
(e) None of these
19. If four members of the team have to be girls,then the members of the team are?
(a) Dhanraj, Barla, Komal Chautala, Bindia Naik,
Nethra Reddy, Preeti Sabharwal
(b) Deepak, Bindia Naik, Ramandeep, Nethra
Reddy, Komal Chautala, Vidya Sharma
(c) Deepak, Komal Chautala, Vidya Sharma,
Deevesh, Nethra Reddy, Preeti Sabharwal
(d) Deepak, Barla, Komal Chautala, Bindia Naik,
Vidya Sharma, Preeti Sabharwal
(e) None of these
COMPARISON TYPE QUESTIONS
F. Direction: Five brands- Tata, Maruti, Honda,
Hyundai and General Motors are to be rated.
1. Tata is rated higher than Maruti but rated
lower than General Motors.
2. Honda is rated lowest.
3. Hyundai is rated higher than Maruti and little
lower than Tata.
20. Which brand is rated the highest?
(a) Tata (b) Maruti
(c) Honda (d) Hyundai
(e) General Motors
21. Which brand was rated in the middle?
(a) Tata (b) Maruti
(c) Honda (d) Hyundai
(e) General Motors
22. Which brand is rated second?
(a) Tata (b) Maruti
(c) Honda (d) Hyundai
(e) General Motors
23. Which brand is rated at the fourth place?
(a) Tata (b) Maruti
(c) Honda (d) Hyundai
(e) General Motors
LOGICAL REASONING CLASS ASSIGNMENT - 3 Page 38
8/17/2019 Class Assignments Book
41/104
Data Interpretation - II
The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a
book. Study the pie-chart and the answer the questions based on it. Various Expenditures (in
percentage)
1. If for a certain quantity of books, the
publisher has to pay Rs. 30,600 as printing cost,
then what will be amount of royalty to be paid
for these books?
(a) Rs. 19,450 (b) Rs. 21,200
(d) Rs. 22,950 (d) Rs. 26,150
2. What is the central angle of the sector
corresponding to the expenditure incurred on
Royalty?
(a) 15º (b) 24º(c) 54º (d) 48º
3. The price of the book is marked 20% above
the C.P. If the marked price of the book is Rs.
180, then what is the cost of the paper used in
a single copy of the book?
(a) Rs. 36 (b) Rs. 37.50
(c) Rs. 42 (d) Rs. 44.25
4. If 5500 copies are published and the
transportation cost on them amounts to Rs.
82500, then what should be the selling price of
the book so that the publisher can earn a profit
of 25%?
(a) Rs. 187.50 (b) Rs. 191.50
(c) Rs. 175.00 (d) Rs. 180.00
LOGICAL REASONING CLASS ASSIGNMENT - 3 Page 39
8/17/2019 Class Assignments Book
42/104
LOGICAL REASONING CLASS ASSIGNMENT – 4Data Sufficiency, Family Relations, Coding-Decoding, DI –III
Data sufficiencyDirection for Q. 1-10: Each of the following
consists of a question and two statements
numbered I and II given below it. You have to
decide whether the data provided in the
statements are sufficient to answer the
question. Read both the statements and give
the answer.
(a) Statement (I) alone is sufficient, but
statement (II) alone is not sufficient.
(b) Statement (II) alone is sufficient, but
statement (I) alone is not sufficient.
(c)
Both statements together are sufficient, but
neither statement alone is sufficient.
(d) Each statement alone is sufficient.
(e) Both statements are insufficient.
1. At Delhi Metro Rail Corporation, the average
age of an executive employee is 50 years and
the average age of non-executive employee is
30 yrs. What is the average age of the
employees at Delhi Metro Rail Corporation?
(I) There are 100 executive employees.
(II)
The number of non-executive employees is20 times the number of executive
employees.
2. Among five boys A, B, C, D, E who is the
youngest?
(I) D is younger to both A and C
(II) B is elder to E but younger to D
3. If Sanya’s age is exactly twice of Peter’s age,
what is Sanya’s age?
(I)
Four years ago, Sanya’s age was exactly threetimes Peter’s age.
(II) Eight years from now, Sanya’s age will be
exactly 1.5 times Peter’s age.
4. On a straight road, car X and Y are traveling at
different constant rates. If car X is now 2 km
ahead of car Y, how much time for now will car
X be 4 km ahead of car Y?
(I) Car X is travelling at 45 km/hr and car Y is
traveling at 30 km/hr
(II) 6 minutes ago, car X was ½ km ahead of car
Y.
5. What are the values of X and Y
(I) Y is an even integer, X is an odd integer and X
is greater than Y
(II) Product of X and Y is 30
6. Is x 0
(II) < 0
7. The symbol represents one of the following
operations: addition, subtraction,
multiplication, or division. What is the value of
3 2?
(I) 0 ∇ 1=1
(II) 1 ∇ 0=1
8. How much did a certain telephone call cost?
(I)
The call lasted 53 minutes.(II) The cost for the first 3 minutes was 5 times
the cost for each additional minute.
9. If n is a positive integer; is odd?
(I) 3 is odd
(II) + 3 is even
10. A total of 9 women and 12 men reside in the 21
apartments that are in a certain apartment
building, one person to each apartment. If a
poll taker is to select one of the apartments atrandom, what is the probability that the
resident of the apartment selected will be a
woman who is a student?
(I) Of the women, 4 are students.
(II) Of the women, 5 are not students
LOGICAL REASONING CLASS ASSIGNMENT - 4 Page 40
8/17/2019 Class Assignments Book
43/104
Family Relationship
Type 11. X introduces Y saying, ‘he is the husband of the
granddaughter of the father of my father’. How
is Y related to X.
(a) Husband (b) Brother
(c) Brother in law (d) Data insufficient
2. Deepak said to Nitin, “That boy playing the
football is the younger of the two brothers of
the daughter of my father’s wife”. How is the
boy playing football related to Deepak?
(a) Brother (b) Cousin
(c) Brother in Law (d) data insufficient
3. Ravi introduced X as “X is the grandson of the
paternal grandfather of my son’s son”. How is X
related to Ravi?
(a) Grandson
(b) Some other distant relation
(c) Neither a nor b
(d) a or b
Type 2Read the following information carefully and
answer the questions that follow:
P & Q means P is the father of Q.
P * Q means P is the sister of Q.
P + Q means P is the brother of Q.
P - Q means P is the mother of Q.
P % Q means P is the son of Q.
P = Q means P is the daughter of Q.
1. Which of the following choices mean that X is
the maternal uncle of Z?
(a) X % Y – Z (b) X = Y % Z
(c) X + Y – Z (d) X * Y + Z
2. Which of the following means that X is the
nephew of Z?
(a) X – Y % Z (b) X + Y * Z
(c) X % Y – Z (d) X % Y * Z
Coding- Decoding1. The code ‘TABLESTESF’ stands for the word
‘BELONGINGS’ how will you code the following:
(1) LONG (2) ON
(3) GIN (4) SONG (5) NO
2. If POSTED is coded as DETSOP, how will be
word SPEED be coded?
3. KAPIL is coded as IFMXH, then PATHAN is
coded as?
4. RETAISH is coded as 80, then how is OXFORD
coded
5. If ‘tera mera sakba” means “lets enjoy school”,
“jaisa mera waisa” means “enjoy before work”,
“kuch is tera” means “school only sunday” then
what does ‘sabka’ denote?
LOGICAL REASONING CLASS ASSIGNMENT - 4 Page 41
8/17/2019 Class Assignments Book
44/104
ata Interpretation - I
I
1. Convert the following percentage into
fraction
(a) 12.5% - ______ (b) 37.5% - ______
(c) 67.5% - ______ (d) 16.67% ______
(e) 55.55% - _____ (f) 54.54% -______
(g) 09.09% - ______ (h) 90.90%- _____
(i) 3.125% -______ (j) 7.69230% -____
Refer to the table below and answer the
questions that followNo. of students registered for JET 2010
Subject 1st year 2nd
year
3rd
year
Science 20 40 80
History 30 60 120
Maths 40 80 160
Economics 50 70 100
2. No. of students registered for History forall the three years is less than the number
of students registered for Maths for all
Top Related