Post on 01-Jun-2018
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1.
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate
in the remaining 40 overs to reach the target of 22 runs!
A. ".2# B. ".#
C. ".$# D. $
Answer & Explanation
Answer:%&tion A
Explanation:
'e(uired run rate )22 * +3.2 10-
)2#0
) ".2#40 40
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2.
family consists of two grand&arents, two &arents and three grandchildren. /he average age
of the grand&arents is "$ years, that of the &arents is 3# years and that of the grandchildren is
" years. What is the average age of the family!
A. 24
years$
B. 31#
years$
C. 32
1
years$ D. one of these
Answer & Explanation
Answer:%&tion B
Explanation:
'e(uired average
)222
$
) 31#
years.$
)"$ 2 3# 2 " 3
2 2 3
)134 $0 1
$
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3.
grocer has a sale of 's. "43#, 's. "2$, 's. "##, 's. $230 and 's. "#"2 for # consecutive
months. ow much sale must he have in the sith month so that he gets an average sale of
's. "#00!
A. 's. 41 B. 's. #1
C. 's. "001 D. 's. "1
Answer & Explanation
Answer:%&tion A
Explanation:
/otal sale for # months ) 's. +"43# "2$ "## $230 "#"2- ) 's. 3400.
'e(uired sale ) 's. +"#00 "- * 3400 5
) 's. +3000 * 3400-
) 's. 41.
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4.
/he average of 20 numbers is 6ero. %f them, at the most, how many may be greater than
6ero!
A. 0 B. 1
C. 10 D. 1
Answer & Explanation
Answer:%&tion D
Explanation:
verage of 20 numbers ) 0.
7um of 20 numbers +0 20- ) 0.
It is (uite &ossible that 1 of these numbers may be &ositive and if their sum is athen 20th
number is +*a-.
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#.
/he average weight of &erson8s increases by 2.# kg when a new &erson comes in &lace of
one of them weighing "# kg. What might be the weight of the new &erson!
A. $" kg B. $".# kg
C. # kg D. 9ata inade(uate
E. one of these
Answer & Explanation
Answer:%&tion C
Explanation:
/otal weight increased ) + 2.#- kg ) 20 kg.
Weight of new &erson ) +"# 20- kg ) # kg.
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".
/he ca&tain of a cricket team of 11 members is 2" years old and the wicket kee&er is 3 years
older. If the ages of these two are ecluded, the average age of the remaining &layers is one
year less than the average age of the whole team. What is the average age of the team!
A. 23 years B. 24 years
C. 2# years D. one of these
Answer & Explanation
Answer:%&tion A
Explanation:
:et the average age of the whole team by xyears.
11x* +2" 2- ) +x*1-
11x* x) 4"
2x) 4"
x) 23.
7o, average age of the team is 23 years.
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$.
/he average monthly income of ; and < is 's. #0#0. /he average monthly income of < and '
is 's. "2#0 and the average monthly income of ; and ' is 's. #200. /he monthly income of ;
is=
A. 3#00 B. 4000
C. 40#0 D. #000
Answer & Explanation
Answer:%&tion B
Explanation:
:et ;, < and ' re&resent their res&ective monthly incomes. /hen, we have=
; < ) +#0#0 2- ) 10100 .... +i-
< ' ) +"2#0 2- ) 12#00 .... +ii-
; ' ) +#200 2- ) 10400 .... +iii-
dding +i-, +ii- and +iii-, we get= 2+; < '- ) 33000 or ; < ' ) 1"#00 .... +iv-
7ubtracting +ii- from +iv-, we get ; ) 4000.
;8s monthly income ) 's. 4000.
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.
/he average age of husband, wife and their child 3 years ago was 2$ years and that of wife
and the child # years ago was 20 years. /he &resent age of the husband is=
A. 3# years B. 40 years
C. #0 years D. one of these
Answer & Explanation
Answer:%&tion B
Explanation:
7um of the &resent ages of husband, wife and child ) +2$ 3 3 3- years ) 0 years.
7um of the &resent ages of wife and child ) +20 2 # 2- years ) #0 years.
usband8s &resent age ) +0 * #0- years ) 40 years.
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.
car owner buys &etrol at 's.$.#0, 's. and 's. .#0 &er litre for three successive years.
What a&&roimately is the average cost &er litre of &etrol if he s&ends 's. 4000 each year!
A. 's. $. B. 's.
C. 's. .#0 D. 's.
Answer & Explanation
Answer:%&tion A
Explanation:
/otal (uantity of &etrolconsumed in 3 years
)$"$00
litres#1
/otal amount s&ent ) 's. +3 4000- ) 's. 12000.
verage
cost ) 's.
12000 #1 ) 's. "120 ) 's. $.
$"$00 $"$
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10.
In run8s o&inion, his weight is greater than "# kg but less than $2 kg. is brother doest not
agree with run and he thinks that run8s weight is greater than "0 kg but less than $0 kg.
is mother8s view is that his weight cannot be greater than " kg. If all are them are correct in
their estimation, what is the average of different &robable weights of run!
A. "$ kg. B. " kg.
C. " kg. D. 9ata inade(uate
E. one of these
) 40002
1
2
litres
1# 1$
)4000
4000
4000
litres$.#0 .#0
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Answer & Explanation
Answer:%&tion A
Explanation:
:et run8s weight by > kg.
ccording to run, "# ? > ? $2
ccording to run8s brother, "0 ? > ? $0.
ccording to run8s mother, > ?) "
/he values satisfying all the above conditions are "", "$ and ".
'e(uired average )
"" "$ "
)
201
) "$ kg.3 3
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11.
/he average weight of , @ and A is 4# kg. If the average weight of and @ be 40 kg and that
of @ and A be 43 kg, then the weight of @ is=
A. 1$ kg B. 20 kg
C. 2" kg D. 31 kg
Answer & Explanation
Answer:%&tion D
Explanation:
:et , @, A re&resent their res&ective weights. /hen, we have=
@ A ) +4# 3- ) 13# .... +i-
@ ) +40 2- ) 0 .... +ii-
@ A ) +43 2- ) " ....+iii-
dding +ii- and +iii-, we get= 2@ A ) 1"" .... +iv-
7ubtracting +i- from +iv-, we get = @ ) 31.
@8s weight ) 31 kg.
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12.
/he average weight of 1" boys in a class is #0.2# kg and that of the remaining boys is 4#.1#
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kg. Bind the average weights of all the boys in the class.
A. 4$.## kg B. 4 kg
C. 4.## kg D. 4.2# kg
Answer & Explanation
Answer:%&tion C
Explanation:
'e(uired average
)11"#.20
24
) 4.##
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13.
library has an average of #10 visitors on 7undays and 240 on other days. /he average
number of visitors &er day in a month of 30 days beginning with a 7unday is=
A. 2#0 B. 2$"
C. 20 D. 2#
Answer & Explanation
Answer:%&tion D
Explanation:
7ince the month begins with a 7unday, to there will be five 7undays in the month.
'e(uired average
) ##0
)#0.2# 1" 4#.1#
1"
)04 3"1.20
24
)#10 # 240 2#
30
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30
) 2#View AnswerWorkspaceReportDiscuss in Forum
14.
If the average marks of three batches of ##, "0 and 4# students res&ectively is #0, ##, "0,
then the average marks of all the students is=
A. #3.33 B. #4."
C. ## D. one of these
Answer & Explanation
Answer:%&tion B
Explanation:
'e(uired average
)$#0
1"0
) #4."View AnswerWorkspaceReportDiscuss in Forum
1#.
&u&il8s marks were wrongly entered as 3 instead of "3. 9ue to that the average marks for
the class got increased by half +1C2-. /he number of &u&ils in the class is=
A. 10 B. 20
C. 40 D. $3
Answer & Explanation
Answer:%&tion C
Explanation:
) ## #0 "0 ## 4# "0
## "0 4#
)2$#0 3300 2$00
1"0
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:et there be x&u&ils in the class.
/otal increase in marks ) x1
)x
2 2
x ) +3 * "3- x ) 20 x) 40.2 2
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.
batsman scored 110 runs which included 3 boundaries and sies. What &ercent of his total
score did he make by running between the wickets!
A. 4#D B. 4##
D11
C. #4
"
D11 D. ##D
Answer & Explanation
Answer:%&tion B
Explanation:
umber of runs made by running ) 110 * +3 4 "-
) 110 * +"0-
) #0.
'e(uired &ercentage )#0
100D ) 4#
#D
110 11
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2.
/wo students a&&eared at an eamination. %ne of them secured marks more than the other
and his marks was #"D of the sum of their marks. /he marks obtained by them are=
A. 3, 30 B. 41, 32
C. 42, 33 D. 43, 34
Answer & Explanation
Answer:%&tion C
Explanation:
:et their marks be +x - and x.
/hen, x ) #" +x x-
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100
2#+x - ) 14+2x -
3x)
x) 33
7o, their marks are 42 and 33.
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3.
fruit seller had some a&&les. e sells 40D a&&les and still has 420 a&&les. %riginally, he
had=
A. # a&&les B. "00 a&&les
C. "$2 a&&les D. $00 a&&les
Answer & Explanation
Answer:%&tion D
Explanation:
7u&&ose originally he had xa&&les.
/hen, +100 * 40-D of x) 420.
"0 x) 420
100
x)420 100
) $00."0
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4.
What &ercentage of numbers from 1 to $0 have 1 or in the unit8s digit!
A. 1 B. 14
C. 20 D. 21
Answer & Explanation
Answer:%&tion C
Explanation:
Alearly, the numbers which have 1 or in the unit8s digit, have s(uares that end in the digit 1.
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7uch numbers from 1 to $0 are 1, , 11, 1, 21, 2, 31, 3, 41, 4, #1, #, "1, ".
umber of such number )14
'e(uired &ercentage ) 14 100D ) 20D.
$0
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#.
If ) xD of yand @ ) yD of x, then which of the following is true!
A. is smaller than @. B. is greater than @
C.
'elationshi& between and @ cannot
be determined. D.
If xis smaller than y, then is
greater than @.
E. one of these
Answer & Explanation
Answer:%&tion E
Explanation:
xD of y)x
y )y
x ) yD of x
100 100
) @.
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".
If 20D of a) b, then bD of 20 is the same as=
A. 4D of a B. #D of a
C. 20D of a D. one of these
Answer & Explanation
Answer:%&tion A
Explanation:
20D of a) b20
a) b.100
bD of 20 )b
20 )20
a1
20 )4
a) 4D of a.100 100 100 100
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$.
In a certain school, 20D of students are below years of age. /he number of students above
years of age is of the number of students of years of age which is 4. What is the total
number of students in the school!
A. $2 B. 0
C. 120 D. 1#0
E. 100
Answer & Explanation
Answer:%&tion E
Explanation:
:et the number of students be x. /hen,
umber of students above years of age ) +100 * 20-D of x) 0D of x.
0D of x) 4 2
of 43
0x) 0
100
x) 100.
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.
/wo numbers and @ are such that the sum of #D of and 4D of @ is two*third of the sum of
"D of and D of @. Bind the ratio of = @.
A. 2 = 3 B. 1 = 1
C. 3 = 4 D. 4 = 3
Answer & Explanation
Answer:%&tion D
Explanation:
#D of 4D of @ )2
+"D of D of @-3
#
4@ )
2 "
@
100 100 3 100 1001 1 @ ) 1 4 @
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20 2# 2# $#
1*
1
)
4*
1
@20 2# $# 2#
1 )
1@
100 $#
) 100 ) 4 .@ $# 3
'e(uired ratio ) 4 = 3
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. student multi&lied a number by
3instead of
#.
# 3
What is the &ercentage error in the calculation!
A. 34D B. 44D
C. #4D D. "4D
Answer & Explanation
Answer:%&tion D
Explanation:
:et the number be x.
/hen, error )#
x*3
x)1"
x.3 # 1#
ErrorD )1"x
3
100D ) "4D.
1# #x
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10.
In an election between two candidates, one got ##D of the total valid votes, 20D of the votes
were invalid. If the total number of votes was $#00, the number of valid votes that the othercandidate got, was=
A. 2$00 B. 200
C. 3000 D. 3100
Answer & Explanation
Answer:%&tion A
Explanation:
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umber of valid votes ) 0D of $#00 ) "000.
Falid votes &olled by other candidate ) 4#D of "000
) 4# "000 ) 2$00.100
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11.
/hree candidates contested an election and received 113", $"3" and 11"2 votes res&ectively.
What &ercentage of the total votes did the winning candidate get!
A. #$D B. "0D
C. "#D D. 0D
Answer & Explanation
Answer:%&tion A
Explanation:
/otal number of votes &olled ) +113" $"3" 11"2- ) 20400.
'e(uired &ercentage )11"2
100D ) #$D.
20400
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12.
/wo tailors > and G are &aid a total of 's. ##0 &er week by their em&loyer. If > is &aid 120
&ercent of the sum &aid to G, how much is G &aid &er week!
A. 's. 200 B. 's. 2#0
C. 's. 300 D. one of these
Answer & Explanation
Answer:%&tion B
Explanation:
:et the sum &aid to G &er week be 's. z.
/hen, z 120D of z) ##0.
z120
z) ##0100
11z) ##0
#
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z)##0 #
) 2#0.11
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13.
Hauri went to the stationers and bought things worth 's. 2#, out of which 30 &aise went on
sales ta on taable &urchases. If the ta rate was "D, then what was the cost of the ta free
items!
A. 's. 1# B. 's. 1#.$0
C. 's. 1.$0 D. 's. 20
Answer & Explanation
Answer:%&tion C
Explanation:
:et the amount taable &urchases be 's. x.
/hen, "D of x)30
100
x)30
100
) #.100 "
Aost of ta free items ) 's. 2# * +# 0.30-5 ) 's. 1.$0
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14.
'aeev buys good worth 's. ""#0. e gets a rebate of "D on it. fter getting the rebate, he
&ays sales ta J 10D. Bind the amount he will have to &ay for the goods.
A. 's. "$".10 B. 's. ".20
C. 's. ""#4 D. 's. $000
Answer & Explanation
Answer:%&tion A
Explanation:
'ebate ) "D of 's. ""#0 ) 's."
""#0 ) 's. 3.100
7ales ta ) 10D of 's. +""#0 * 3- ) 's.10
"2#1 ) 's. "2#.10100
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Binal amount ) 's. +"2#1 "2#.10- ) 's. "$".10
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1#.
/he &o&ulation of a town increased from 1,$#,000 to 2,"2,#00 in a decade. /he average
&ercent increase of &o&ulation &er year is=
A. 4.3$D B. #D
C. "D D. .$#D
Answer & Explanation
Answer:%&tion B
Explanation:
Increase in 10 years ) +2"2#00 * 1$#000- ) $#00.
IncreaseD )$#00
100D ) #0D.
1$#000
'e(uired average )#0
D ) #D.10
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Simple interest:
1. sum of money at sim&le interest amounts to 's. 1# in 3 years and to 's. #4 in 4 years.
/he sum is=
A. 's. "#0 B. 's. "0
C. 's. " D. 's. $00
Answer & Explanation
Answer:%&tion C
Explanation:
7.I. for 1 year ) 's. +#4 * 1#- ) 's. 3.
7.I. for 3 years ) 's.+3 3- ) 's. 11$.
;rinci&al ) 's. +1# * 11$- ) 's. ".
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2. Kr. /homas invested an amount of 's. 13,00 divided in two different schemes and @ at the
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sim&le interest rate of 14D &.a. and 11D &.a. res&ectively. If the total amount of sim&le
interest earned in 2 years be 's. 3#0, what was the amount invested in 7cheme @!
A. 's. "400 B. 's. "#00
C. 's. $200 D. 's. $#00
E. one of these
Answer & Explanation
Answer:%&tion A
Explanation:
:et the sum invested in 7cheme be 's. xand that in 7cheme @ be 's. +1300 * x-.
/hen,x 14 2
+1300 * x- 11 2
) 3#0
100 100
2x* 22x) 3#000 * +1300 22-
"x) 4#000
x) $#00.
7o, sum invested in 7cheme @ ) 's. +1300 * $#00- ) 's. "400.
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3. sum fetched a total sim&le interest of 's. 401".2# at the rate of &.c.&.a. in # years. What
is the sum!
A. 's. 44"2.#0 B. 's. 032.#0
C. 's. 00 D. 's. 2#
E. one of these
Answer & Explanation
Answer:%&tion D
Explanation:
;rinci&al
) 's.100 401".2#
#
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) 's. 2#.
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4. ow much time will it take for an amount of 's. 4#0 to yield 's. 1 as interest at 4.#D &er
annum of sim&le interest!
A. 3.# years B. 4 years
C. 4.# years D. # years
Answer & Explanation
Answer:%&tion B
Explanation:
/ime )100 1
years
) 4 years.
4#0 4.#
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#. 'eena took a loan of 's. 1200 with sim&le interest for as many years as the rate of interest. If
she &aid 's. 432 as interest at the end of the loan &eriod, what was the rate of interest!
A. 3." B. "
C. 1 D. Aannot be determined
E. one of these
Answer & Explanation
Answer:%&tion B
Explanation:
:et rate ) 'D and time ) ' years.
/hen,1200 ' '
) 432
100
) 's.401"2#
4#
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12'2) 432
'2) 3"
' ) ".
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". sum of 's. 12,#00 amounts to 's. 1#,#00 in 4 years at the rate of sim&le interest. What is
the rate of interest!
A. 3D B. 4D
C. #D D. "D
E. one of these
Answer & Explanation
Answer:%&tion D
Explanation:
7.I. ) 's. +1##00 * 12#00- ) 's. 3000.
'ate )100 3000
D) "D
12#00 4
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$. n automobile financier claims to be lending money at sim&le interest, but he includes the
interest every si months for calculating the &rinci&al. If he is charging an interest of 10D, the
effective rate of interest becomes=
A. 10D B. 10.2#D
C. 10.#D D. one of these
Answer & ExplanationAnswer:%&tion B
Explanation:
:et the sum be 's. 100. /hen,
7.I. for first " months ) 's.100 10 1
) 's. #
100 2
7.I. for last " months ) 's.10# 10 1
) 's. #.2#
100 2
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7o, amount at the end of 1 year ) 's. +100 # #.2#- ) 's. 110.2#
Effective rate ) +110.2# * 100- ) 10.2#D
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. lent 's. #000 to @ for 2 years and 's. 3000 to A for 4 years on sim&le interest at the same
rate of interest and received 's. 2200 in all from both of them as interest. /he rate of interest
&er annum is=
A. #D B. $D
C. $
1D
D. 10D
Answer & Explanation
Answer:%&tion D
Explanation:
:et the rate be 'D &.a.
/hen,#000 ' 2
3000 ' 4
) 2200.
100 100
100' 120' ) 2200
' )2200
) 10.
220
'ate ) 10D.
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. sum of 's. $2# is lent in the beginning of a year at a certain rate of interest. fter months,
a sum of 's. 3"2.#0 more is lent but at the rate twice the former. t the end of the year, 's.33.#0 is earned as interest from both the loans. What was the original rate of interest!
A. 3."D B. 4.#D
C. #D D. "D
E. one of these
Answer & Explanation
Answer:%&tion E
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Explanation:
:et the original rate be 'D. /hen, new rate ) +2'-D.
ote=
ere, original rate is for 1 year+s-L the new rate is for only 4 months i.e. year+s-.
$2# ' 1
3"2.#0 2' 1) 33.#0
100 100 3
+21$# $2#- ' ) 33.#0 100 3
+21$# $2#- ' ) 100#0
+200-' ) 100#0
' )100#0
) 3.4"
200
%riginal rate ) 3.4"D
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10. man took loan from a bank at the rate of 12D &.a. sim&le interest. fter 3 years he had to
&ay 's. #400 interest only for the &eriod. /he &rinci&al amount borrowed by him was=
A. 's. 2000 B. 's. 10,000
C. 's. 1#,000 D. 's. 20,000
Answer & Explanation
Answer:%&tion C
Explanation:
;rinci&al ) 's.
100 #400
) 's. 1#000.12 3
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11. sum of money amounts to 's. 00 after # years and 's. 1200# after years at the same
rate of sim&le interest. /he rate of interest &er annum is=
A. #D B. D
C. 12D D. 1#D
Answer & ExplanationAnswer:%&tion C
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Explanation:
7.I. for 3 years ) 's. +1200# * 00- ) 's. 220#.
7.I. for # years ) 's.220#
# ) 's. 3"$#
3
;rinci&al ) 's. +00 * 3"$#- ) 's. "12#.
ence, rate )100 3"$#
D) 12D
"12# #
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12. What will be the ratio of sim&le interest earned by certain amount at the same rate of interest
for " years and that for years!
A. 1 = 3 B. 1 = 4
C. 2 = 3 D. 9ata inade(uate
E. one of these
Answer & Explanation
Answer:%&tion C
Explanation:
:et the &rinci&al be ; and rate of interest be 'D.
'e(uired ratio )
; ' "
100)
";')
") 2 = 3.
; '
100
;'
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13. certain amount earns sim&le interest of 's. 1$#0 after $ years. ad the interest been 2D
more, how much more interest would it have earned!
A. 's. 3# B. 's. 24#
C. 's. 3#0 D. Aannot be determined
E. one of theseAnswer & Explanation
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Answer:%&tion D
Explanation:
We need to know the 7.I., &rinci&al and time to find the rate.
7ince the &rinci&al is not given, so data is inade(uate.
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14. &erson borrows 's. #000 for 2 years at 4D &.a. sim&le interest. e immediately lends it to
another &erson at " &.a for 2 years. Bind his gain in the transaction &er year.
A. 's. 112.#0 B. 's. 12#
C. 's. 1#0 D. 's. 1"$.#0
Answer & Explanation
Answer:%&tion A
Explanation:
Hain in 2 years ) 's. #000 2#
2
*#000 4 2
4 100 100
) 's. +"2# * 400-
) 's. 22#.
Hain in 1 year ) 's.22#
) 's. 112.#0
2
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Compound interest:
1. bank offers #D com&ound interest calculated on half*yearly basis. customer de&osits 's.
1"00 each on 1stManuary and 1stMuly of a year. t the end of the year, the amount he would
have gained by way of interest is=
A. 's. 120 B. 's. 121
C. 's. 122 D. 's. 123
Answer & Explanation
Answer:%&tion B
Explanation:
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mount
) 's. 3321.
A.I. ) 's. +3321 * 3200- ) 's. 121
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2. /he difference between sim&le and com&ound interests com&ounded annually on a certain sum
of money for 2 years at 4D &er annum is 'e. 1. /he sum +in 's.- is=
A. "2# B. "30
C. "40 D. "#0
Answer & Explanation
Answer:%&tion A
Explanation:
:et the sum be 's. x. /hen,
) 's. 1"00 1
# 2
1"00 1
#
2 100 2 100
) 's. 1"00 41
41
1"00
41
40 40 40
) 's. 1"00 41 41
1
40 40
) 's.1"00 41 1
40 40
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A.I. ) x 1
4 2
* x )
"$"
x * x )
#1
x.100 "2# "2#
7.I. )x 4 2
)2x
.
100 2##1x
*2x
) 1
"2# 2#
x) "2#.
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3. /here is "0D increase in an amount in " years at sim&le interest. What will be the com&ound
interest of 's. 12,000 after 3 years at the same rate!
A. 's. 21"0 B. 's. 3120
C. 's. 3$2 D. 's. "240
E. one of these
Answer & Explanation
Answer:%&tion C
Explanation:
:et ; ) 's. 100. /hen, 7.I. 's. "0 and / ) " years.
' )100 "0
) 10D &.a.
100 "
ow, ; ) 's. 12000. / ) 3 years and ' ) 10D &.a.
A.I.
) 's. 12000 1
10 3
* 1100
) 's. 12000 331
1000
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) 3$2.
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4.
What is the difference between the com&ound interests on 's. #000 for 1 years at 4D &erannum com&ounded yearly and half*yearly!
A. 's. 2.04 B. 's. 3.0"
C. 's. 4.0 D. 's. .30
Answer & Explanation
Answer:%&tion A
Explanation:
A.I. when interest
com&ounded yearly
) 's. #304.
A.I. when interest is
com&ounded half*yearly
) 's. #000 1 4
1 4
100 100
) 's. #000 2"
#1
2# #0
) 's. #000 1 23
100
) 's. #000 #1
#1
#1
#0 #0 #0
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) 's. #30".04
9ifference ) 's. +#30".04 * #304- ) 's. 2.04
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#. /he com&ound interest on 's. 30,000 at $D &er annum is 's. 434$. /he &eriod +in years- is=
A. 2 B. 2
1
2
C. 3 D. 4
Answer & ExplanationAnswer:%&tion A
Explanation:
mount ) 's. +30000 434$- ) 's. 3434$.
:et the time be nyears.
/hen, 30000 1 $ n
) 3434$
100
10$ n)
3434$)
1144)
10$ 2
100 30000 10000 100
n) 2 years.
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". What will be the com&ound interest on a sum of 's. 2#,000 after 3 years at the rate of 12
&.c.&.a.!
A. 's. 000.30 B. 's. $20
C. 's. 10123.20 D. 's. 1043.20
E. one of these
Answer & Explanation
Answer:%&tion C
Explanation:
mount
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) 's. 3#123.20
A.I. ) 's. +3#123.20 * 2#000- ) 's. 10123.20
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$. t what rate of com&ound interest &er annum will a sum of 's. 1200 become 's. 134.32 in 2
years!
A. "D B. ".#D
C. $D D. $.#D
Answer & Explanation
Answer:%&tion A
Explanation:
:et the rate be 'D &.a.
/hen, 1200 1 ' 2
) 134.32
100
1
' 2
)
13432
)
1123"
100 120000 10000
1 ' 2
)10" 2
100 100
1 '
)10"
100 100
' ) "D
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) 's. 2#000 1
12 3
100
) 's. 2#000 2
2
2
2# 2# 2#
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. /he least number of com&lete years in which a sum of money &ut out at 20D com&ound
interest will be more than doubled is=
A. 3 B. 4
C. # D. "
Answer & Explanation
Answer:%&tion B
Explanation:
; 1 20 n
N 2;" n
N 2.
100 #
ow,
"
"
"
"
N 2.# # # #
7o, n) 4 years.
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. lbert invested an amount of 's. 000 in a fied de&osit scheme for 2 years at com&ound
interest rate # &.c.&.a. ow much amount will lbert get on maturity of the fied de&osit!
A. 's. "00 B. 's. "20
C. 's. 20 D. one of these
Answer & Explanation
Answer:%&tion C
Explanation:
mount
) 's. 000 1
# 2
100
) 's. 000 21
21
20 20
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) 's. 20.
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10. /he effective annual rate of interest corres&onding to a nominal rate of "D &er annum &ayable
half*yearly is=
A. ".0"D B. ".0$D
C. ".0D D. ".0D
Answer & Explanation
Answer:%&tion D
Explanation:
mount of 's. 100 for 1 year
when com&ounded half*yearly) 's. 100 1
3 2
) 's. 10".0100
Effective rate ) +10".0 * 100-D ) ".0D
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11. 7im&le interest on a certain sum of money for 3 years at D &er annum is half the com&ound
interest on 's. 4000 for 2 years at 10D &er annum. /he sum &laced on sim&le interest is=
A. 's. 1##0 B. 's. 1"#0
C. 's. 1$#0 D. 's. 2000
Answer & Explanation
Answer:%&tion C
Explanation:
A.I.
) 's. 40.
) 's. 4000 1
10 2
* 4000
100
) 's. 4000 11
11
* 4000
10 10
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7um ) 's.420 100 ) 's. 1$#0.
3
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12. If the sim&le interest on a sum of money for 2 years at #D &er annum is 's. #0, what is the
com&ound interest on the same at the same rate and for the same time!
A. 's. #1.2# B. 's. #2
C. 's. #4.2# D. 's. "0
Answer & Explanation
Answer:%&tion A
Explanation:
7um ) 's.#0 100
) 's. #00.
2 #
mount
) 's. ##1.2#
A.I. ) 's. +##1.2# * #00- ) 's. #1.2#
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13. /he difference between sim&le interest and com&ound on 's. 1200 for one year at 10D &er
annum reckoned half*yearly is=
A. 's. 2.#0 B. 's. 3
) 's. #00 1
# 2
100
) 's. #00 21
21
20 20
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C. 's. 3.$# D. 's. 4
E. one of these
Answer & Explanation
Answer:%&tion B
Explanation:
7.I. ) 's1200 10 1
) 's. 120.
100
A.I. ) 's. 1200 1
# 2
* 1200 ) 's. 123.100
9ifference ) 's. +123 * 120- ) 's. 3.
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14. /he difference between com&ound interest and sim&le interest on an amount of 's. 1#,000 for
2 years is 's. ". What is the rate of interest &er annum!
A. B. 10
C. 12 D. Aannot be determined
E. one of these
Answer & Explanation
Answer:%&tion A
Explanation:
1#000 1
' 2
* 1#000 *
1#000 ' 2
) "100 100
1#000 1 ' 2
* 1 *2'
) "100 100
1#000+100 '-2* 10000 * +200 '-
) "
10000
'2)" 2
) "4
3
' ) .
'ate ) D.
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1#. /he com&ound interest on a certain sum for 2 years at 10D &er annum is 's. #2#. /he sim&le
interest on the same sum for double the time at half the rate &ercent &er annum is=
A. 's. 400 B. 's. #00
C. 's. "00 D. 's. 00
Answer & Explanation
Answer:%&tion B
Explanation:
:et the sum be 's. ;.
/hen, ; 1
10 2
* ; ) #2#100
;
11 2
* 1 ) #2#10
; )#2# 100
) 2#00.
21
7um ) 's . 2#00.
7o, 7.I. ) 's.2#00 # 4
) 's. #00
100
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can do a work in 1# days and @ in 20 days. If they work on it together for 4 days, then the
fraction of the work that is left is =
A.
1
4
B.
1
10
C.
$
1#D.
1#
Answer & Explanation
Answer:%&tion D
Explanation:
8s 1 day8s work ) 1 L
1#
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@8s 1 day8s work )1
L
20
+ @-8s 1 day8s work )1
1
)$
.
1# 20 "0
+ @-8s 4 day8s work )$
4 )$
.
"0 1#
/herefore, 'emaining work ) 1 *$
)
.
1# 1#
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2. can lay railway track between two given stations in 1" days and @ can do the same ob in 12
days. With hel& of A, they did the ob in 4 days only. /hen, A alone can do the ob in=
A.
1days
#B.
2
days
#
C.
3days
#D. 10
Answer & Explanation
Answer:%&tion C
Explanation:
+ @ A-8s 1 day8s work )1
,
4
8s 1 day8s work )1
,
1"
@8s 1 day8s work )1
.
12
A8s 1 day8s work )1
*1
1
)1
*$
)#
.
4 1" 12 4 4 4
7o, A alone can do the work in4
) 3
days.
# #
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3. , @ and A can do a &iece of work in 20, 30 and "0 days res&ectively. In how many days can
do the work if he is assisted by @ and A on every third day!
A. 12 days B. 1# days
C. 1" days D. 1 days
Answer & Explanation
Answer:%&tion B
Explanation:
8s 2 day8s work )1
2 )1
.
20 10
+ @ A-8s 1 day8s work )
1
1
1
)
"
)
1
.20 30 "0 "0 10
Work done in 3 days )1
1
)1
.
10 10 #
ow,1
work is done in 3 days.
#
Whole work will be done in +3 #- ) 1# days.
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4. is thrice as good as workman as @ and therefore is able to finish a ob in "0 days less than
@. Working together, they can do it in=
A. 20 days B. 22
1days
2
C. 2# days D. 30 days
Answer & Explanation
Answer:%&tion B
Explanation:
'atio of times taken by and @ ) 1 = 3.
/he time difference is +3 * 1- 2 days while @ take 3 days and takes 1 day.
If difference of time is 2 days, @ takes 3 days.
If difference of time is "0 days, @ takes 3 "0 ) 0 days.
2
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7o, takes 30 days to do the work.
8s 1 day8s work )1
30
@8s 1 day8s work )1
0
+ @-8s 1 day8s work )1
1 4 2
30 0 0 4#
and @ together can do the work in4# 1
2 2
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#. alone can do a &iece of work in " days and @ alone in days. and @ undertook to do it for
's. 3200. With the hel& of A, they com&leted the work in 3 days. ow much is to be &aid to A!
A. 's. 3$# B. 's. 400
C. 's. "00 D. 's. 00
Answer & Explanation
Answer:%&tion B
Explanation:
A8s 1 day8s work )1
*1
1
)1
*$
)1
.
3 " 3 24 24
8s wages = @8s wages = A8s wages ) 1=
1=
1) 4 = 3 = 1.
" 24
A8s share +for 3 days- ) 's. 3 1
3200 ) 's. 400.
24
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". If " men and boys can do a &iece of work in 10 days while 2" men and 4 boys can do the
same in 2 days, the time taken by 1# men and 20 boys in doing the same ty&e of work will be=
A. 4 days B. # days
C. " days D. $ days
Answer & Explanation
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Answer:%&tion A
Explanation:
:et 1 man8s 1 day8s work ) xand 1 boy8s 1 day8s work ) y.
/hen, "x y)1
and 2"x 4y)1
.
10 2
7olving these two e(uations, we get = x)1
and y)1
.
100 200
+1# men 20 boy-8s 1 day8s work )1#
20
)1
.
100 200 4
1# men and 20 boys can do the work in 4 days.
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$. can do a &iece of work in 4 hoursL @ and A together can do it in 3 hours, while and A
together can do it in 2 hours. ow long will @ alone take to do it!
A. hours B. 10 hours
C. 12 hours D. 24 hours
Answer & Explanation
Answer:%&tion C
Explanation:
8s 1 hour8s work )1
L
4
+@ A-8s 1 hour8s work )1
L
3
+ A-8s 1 hour8s work )1
.
2
+ @ A-8s 1 hour8s work )1
1
)$
.
4 3 12
@8s 1 hour8s work )$
*1
)1
.
12 2 12
@ alone will take 12 hours to do the work.
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. can do a certain work in the same time in which @ and A together can do it. If and @
together could do it in 10 days and A alone in #0 days, then @ alone could do it in=
A. 1# days B. 20 days
C. 2# days D. 30 days
Answer & Explanation
Answer:%&tion C
Explanation:
+ @-8s 1 day8s work )1
10
A8s 1 day8s work )1
#0
+ @ A-8s 1 day8s work )1
1
)"
)3
. .... +i-
10 #0 #0 2#
8s 1 day8s work ) +@ A-8s 1 day8s work .... +ii-
Brom +i- and +ii-, we get= 2 +8s 1 day8s work- )3
2#
8s 1 day8s work )3
.
#0
@8s 1 day8s work1
*3
)2
)1
.
10 #0 #0 2#
7o, @ alone could do the work in 2# days.
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. does 0D of a work in 20 days. e then calls in @ and they together finish the remaining
work in 3 days. ow long @ alone would take to do the whole work!
A. 23 days B. 3$ days
C.3$
D. 40 days
Answer & Explanation
Answer:%&tion C
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Explanation:
Whole work is done by in 20 #
) 2# days.
4
ow, 1 * 4 i.e., 1 work is done by and @ in 3 days.
# #
Whole work will be done by and @ in +3 #- ) 1# days.
8s 1 day8s work )1
, + @-8s 1 day8s work )1
.
2# 1#
@8s 1 day8s work )1
*1
)4
)2
.
1# 2# 1#0 $#
7o, @ alone would do the work in$#
) 3$1
days.
2 2
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10. machine ; can &rint one lakh books in hours, machine < can &rint the same number of
books in 10 hours while machine ' can &rint them in 12 hours. ll the machines are started at
.K. while machine ; is closed at 11 .K. and the remaining two machines com&lete work.
&&roimately at what time will the work +to &rint one lakh books- be finished !
A. 11=30 .K. B. 12 noon
C. 12=30 ;.K. D. 1=00 ;.K.
Answer & Explanation
Answer:%&tion D
Explanation:
+; < '-8s 1 hour8s work )1
1
1
)3$
.
10 12 120
Work done by ;, < and ' in 2 hours )3$
2 )3$
.
120 "0
'emaining work ) 1 *3$
)23
.
"0 "0
+< '-8s 1 hour8s work )1
1
)11
.
10 12 "0
ow, 11 work is done by < and ' in 1 hour.
"0
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7o,23
work will be done by < and ' in"0
23
)23
hours 2 hours.
"0 11 "0 11
7o, the work will be finished a&&roimately 2 hours after 11 .K., i.e., around 1 ;.K.
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11. can finish a work in 1 days and @ can do the same work in 1# days. @ worked for 10 days
and left the ob. In how many days, alone can finish the remaining work!
A. # B.#
1
2
C. " D.
Answer & Explanation
Answer:%&tion C
Explanation:
@8s 10 day8s work )1
10 )2
.
1# 3
'emaining work ) 1 *2
)1
.
3 3
ow,1
work is done by in 1 day.
1
1work is done by in 1
1) " days.
3 3
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12. 4 men and " women can com&lete a work in days, while 3 men and $ women can com&lete
it in 10 days. In how many days will 10 women com&lete it!
A. 3# B. 40
C. 4# D. #0
Answer & Explanation
Answer:%&tion B
Explanation:
:et 1 man8s 1 day8s work ) xand 1 woman8s 1 day8s work ) y.
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/hen, 4x "y)1
and 3x $y)1
.
10
7olving the two e(uations, we get= x)11
, y)1
400 400
1 woman8s 1 day8s work )1
.
400
10 women8s 1 day8s work )1
10 )1
.
400 40
ence, 10 women will com&lete the work in 40 days.
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13. and @ can together finish a work 30 days. /hey worked together for 20 days and then @ left.
fter another 20 days, finished the remaining work. In how many days alone can finish the
work!
A. 40 B. #0
C. #4 D. "0
Answer & Explanation
Answer:%&tion D
Explanation:
+ @-8s 20 day8s work )1
20 )2
.
30 3
'emaining work ) 1 *2
)1
.
3 3
ow,1
work is done by in 20 days.
3
/herefore, the whole work will be done by in +20 3- ) "0 days.
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14. ; can com&lete a work in 12 days working hours a day. < can com&lete the same work in
days working 10 hours a day. If both ; and < work together, working hours a day, in how
many days can they com&lete the work!
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A. #
#
11B. #
"
11
C. "
#
11 D. "
"
11
Answer & Explanation
Answer:%&tion A
Explanation:
; can com&lete the work in +12 - hrs. ) " hrs.
< can com&lete the work in + 10- hrs. ) 0 hrs.
;8s1 hour8s work )1
and
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+# women 10 children-8s day8s work )#
10
)1
1
)1
$0 140 14 14 $
# women and 10 children will com&lete the work in $ days.
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1". > and G can do a &iece of work in 20 days and 12 days res&ectively. > started the work alone
and then after 4 days G oined him till the com&letion of the work. ow long did the work last!
A. " days B. 10 days
C. 1# days D. 20 days
Answer & Explanation
Answer:%&tion B
Explanation:
Work done by > in 4 days )1
4 )1
.
20 #
'emaining work ) 1 *1
)4
.
# #
+> G-8s 1 day8s work )
1
1
)
)
2
.20 12 "0 1#
ow,2
work is done by > and G in 1 day.
1#
7o,4
work will be done by > and G in1#
4
) " days.
# 2 #
ence, total time taken ) +" 4- days ) 10 days.
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1$. is 30D more efficient than @. ow much time will they, working together, take to com&lete a
ob which alone could have done in 23 days!
A. 11 days B. 13 days
C.20
3days
1$D. one of these
Answer & Explanation
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Answer:%&tion B
Explanation:
'atio of times taken by and @ ) 100 = 130 ) 10 = 13.
7u&&ose @ takes xdays to do the work.
/hen, 10 = 13 == 23 = x x)23 13
x)2
.
10 10
8s 1 day8s work )1
L
23
@8s 1 day8s work )10
.
2
+ @-8s 1 day8s work )1
10
)23
)1
.
23 2 2 13
/herefore, and @ together can com&lete the work in 13 days.
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1. 'avi and Oumar are working on an assignment. 'avi takes " hours to ty&e 32 &ages on a
com&uter, while Oumar takes # hours to ty&e 40 &ages. ow much time will they take, working
together on two different com&uters to ty&e an assignment of 110 &ages!
A. $ hours 30 minutes B. hours
C. hours 1# minutes D. hours 2# minutes
Answer & Explanation
Answer:%&tion C
Explanation:
umber of &ages ty&ed by 'avi in 1 hour )32
)1"
.
" 3
umber of &ages ty&ed by Oumar in 1 hour )40
) .
#
umber of &ages ty&ed by both in 1 hour )1"
)40
.
3 3
/ime taken by both to ty&e 110 &ages ) 110 3
hours
40
) 1 hours +or- hours 1# minutes.
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4
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1. , @ and A can com&lete a &iece of work in 24, " and 12 days res&ectively. Working together,
they will com&lete the same work in=
A.
1day
24 B.
$day
24
C. 3
3days
$D. 4 days
Answer & ExplanationAnswer:%&tion C
Explanation:
Formula:If can do a &iece of work in ndays, then 8s 1 day8s work )1
.
n
+ @ A-8s 1 day8s work )1
1
1
)$
.
24 " 12 24
Formula:If 8s 1 day8s work ) 1 , then can finish the work in ndays.
n
7o, all the three together will com&lete the ob in24
days) 3
3days.
$ $
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20. 7akshi can do a &iece of work in 20 days. /anya is 2#D more efficient than 7akshi. /he
number of days taken by /anya to do the same &iece of work is=
A. 1# B. 1"
C. 1 D. 2#
Answer & Explanation
Answer:%&tion B
Explanation:
'atio of times taken by 7akshi and /anya ) 12# = 100 ) # = 4.
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7u&&ose /anya takes xdays to do the work.
# = 4 ::20 = x x)4 20
#
x) 1" days.
ence, /anya takes 1" days to com&lete the work.
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21. takes twice as much time as @ or thrice as much time as A to finish a &iece of work. Working
together, they can finish the work in 2 days. @ can do the work alone in=
A. 4 days B. " days
C. days D. 12 days
Answer & Explanation
Answer:%&tion B
Explanation:
7u&&ose , @ and A take x,x
andx
days res&ectively to finish the work.
2 3
/hen,1
2
3
)1
x x x 2
")
1
x 2
x) 12.
7o, @ takes +12C2- ) " days to finish the work.
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22. and @ can com&lete a work in 1# days and 10 days res&ectively. /hey started doing the work
together but after 2 days @ had to leave and alone com&leted the remaining work. /he
whole work was com&leted in =
A. days B. 10 days
C. 12 days D. 1# days
Answer & Explanation
Answer:%&tion C
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Explanation:
+ @-8s 1 day8s work )1
1
)1
.
1# 10 "
Work done by and @ in 2 days ) 1 2 ) 1 .
" 3
'emaining work ) 1 *1
)2
.
3 3
ow,1
work is done by in 1 day.
1#
2work will be done by a in 1#
2) 10 days.
3 3
ence, the total time taken ) +10 2- ) 12 days.
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23. and @ can do a &iece of work in 30 days, while @ and A can do the same work in 24 days
and A and in 20 days. /hey all work together for 10 days when @ and A leave. ow many
days more will take to finish the work!
A. 1 days B. 24 days
C. 30 days D. 3" days
Answer & Explanation
Answer:%&tion A
Explanation:
2+ @ A-8s 1 day8s work )1
1
1
)1#
)1
.
30 24 20 120
/herefore, + @ A-8s 1 day8s work )1
)1
.
2 1"
Work done by , @, A in 10 days )10
)#
.
1"
'emaining work ) 1 *#
)3
.
8s 1 day8s work )1
*1
)1
.
1" 24 4
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ow,1
work is done by in 1 day.
4
7o,3
work will be done by in 4 3
) 1 days.
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24. works twice as fast as @. If @ can com&lete a work in 12 days inde&endently, the number of
days in which and @ can together finish the work in =
A. 4 days B. " days
C. days D. 1 days
Answer & Explanation
Answer:%&tion A
Explanation:
'atio of rates of working of and @ ) 2 = 1.
7o, ratio of times taken ) 1 = 2.
@8s 1 day8s work )1
.
12
8s 1 day8s work )1
L +2 times of @8s work-
"
+ @-8s 1 day8s work )1
1
)3
)1
.
" 12 12 4
7o, and @ together can finish the work in 4 days.
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2#. /wenty women can do a work in siteen days. 7iteen men can com&lete the same work in
fifteen days. What is the ratio between the ca&acity of a man and a woman!
A. 3 = 4 B. 4 = 3
C. # = 3 D. 9ata inade(uate
Answer & Explanation
Answer:%&tion B
Explanation:
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+20 1"- women can com&lete the work in 1 day.
1 woman8s 1 day8s work )1
.
320
+1" 1#- men can com&lete the work in 1 day.
1 man8s 1 day8s work )1
240
7o, re(uired ratio )1
=1
240 320
)1
=1
3 4
) 4 = 3 +cross multi&lied-
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Speed and distance:
1. &erson crosses a "00 m long street in # minutes. What is his s&eed in km &er hour!
A. 3." B. $.2
C. .4 D. 10
Answer & Explanation
Answer:%&tion B
Explanation:
7&eed )"00
mCsec.# "0
) 2 mCsec.
Aonverting mCsec to kmChr +see im&ortant formulassection-
) 2 1
kmChr
#
) $.2 kmChr.
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2. n aero&lane covers a certain distance at a s&eed of 240 km&h in # hours. /o cover the same
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distance in 1 hours, it must travel at a s&eed of=
A. 300 km&h B. 3"0 km&h
C. "00 km&h D. $20 km&h
Answer & Explanation
Answer:%&tion D
Explanation:
9istance ) +240 #- ) 1200 km.
7&eed ) 9istanceC/ime
7&eed ) 1200C+#C3- kmChr. We can write 1 hours as #C3 hours5
'e(uired s&eed ) 1200 3
kmChr) $20 kmChr.
#
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3. If a &erson walks at 14 kmChr instead of 10 kmChr, he would have walked 20 km more. /he
actual distance travelled by him is=
A. #0 km B. #" km
C. $0 km D. 0 km
Answer & Explanation
Answer:%&tion A
Explanation:
:et the actual distance travelled be xkm.
/hen,x
)x 20
10 14
14x) 10x 200
4x) 200
x) #0 km.
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4. train can travel #0D faster than a car. @oth start from &oint at the same time and reach
&oint @ $# kms away from at the same time. %n the way, however, the train lost about 12.#
minutes while sto&&ing at the stations. /he s&eed of the car is=
A. 100 km&h B. 110 km&h
C. 120 km&h D. 130 km&h
Answer & Explanation
Answer:%&tion C
Explanation:
:et s&eed of the car be xkm&h.
/hen, s&eed of the train )1#0
x )3
xkm&h.100 2
$#*
$#)
12#
x +3C2-x 10 "0
$#*
#0)
#
x x 24
x)2# 24
) 120 km&h.
#
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#. Ecluding sto&&ages, the s&eed of a bus is #4 km&h and including sto&&ages, it is 4# km&h.
Bor how many minutes does the bus sto& &er hour!
A. B. 10
C. 12 D. 20
Answer & Explanation
Answer:%&tion B
Explanation:
9ue to sto&&ages, it covers km less.
/ime taken to cover km )
"0min
) 10 min.
#4
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".In a flight of "00 km, an aircraft was slowed down due to bad weather. Its average s&eed forthe tri& was reduced by 200 kmChr and the time of flight increased by 30 minutes. /he
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duration of the flight is=
A. 1 hour B. 2 hours
C. 3 hours D. 4 hoursAnswer & Explanation
Answer:%&tion A
Explanation:
:et the duration of the flight be xhours.
/hen,"00
*"00
) 200
x x +1C2-
"00*
1200) 200
x 2x 1
x+2x 1- ) 3
2x2 x* 3 ) 0
+2x 3-+x* 1- ) 0
x) 1 hr. neglecting the *ve value of x5
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$. man com&lete a ourney in 10 hours. e travels first half of the ourney at the rate of 21
kmChr and second half at the rate of 24 kmChr. Bind the total ourney in km.
A. 220 km B. 224 km
C. 230 km D. 234 km
Answer & Explanation
Answer:%&tion B
Explanation:
+1C2-x
+1C2-x) 10
21 24
x
x) 20
21 24
1#x) 1" 20
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x)1" 20
) 224 km.
1#
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. /he ratio between the s&eeds of two trains is $ = . If the second train runs 400 km in 4 hours,
then the s&eed of the first train is=
A. $0 kmChr B. $# kmChr
C. 4 kmChr D. $.# kmChr
Answer & Explanation
Answer:%&tion D
Explanation:
:et the s&eed of two trains be $xand xkmChr.
/hen, x)400
) 100
4
x)100
) 12.#
7&eed of first train ) +$ 12.#- kmChr ) $.# kmChr.
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. man on tour travels first 1"0 km at "4 kmChr and the net 1"0 km at 0 kmChr. /he average
s&eed for the first 320 km of the tour is=
A. 3#.## kmChr B. 3" kmChr
C. $1.11 kmChr D. $1 kmChr
Answer & Explanation
Answer:%&tion C
Explanation:
/otal time taken )1"0
1"0
hrs.)
hrs.
"4 0 2
verage s&eed ) 320 2
kmChr) $1.11 kmChr.
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10.
car travelling with of its actual s&eed covers 42 km in 1 hr 40 min 4 sec. Bind the actual
s&eed of the car.
A. 1$
"kmChr
$B. 2# kmChr
C. 30 kmChr D. 3# kmChr
Answer & Explanation
Answer:%&tion D
Explanation:
/ime taken ) 1 hr 40 min 4 sec ) 1 hr 40 4 min ) 1 #1 hrs ) 12" hrs.
# $# $#
:et the actual s&eed be xkmChr.
/hen,#
x12"
) 42
$ $#
x)42 $ $#
) 3# kmChr.
# 12"
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11. In covering a distance of 30 km, bhay takes 2 hours more than 7ameer. If bhay doubles his
s&eed, then he would take 1 hour less than 7ameer. bhay8s s&eed is=
A. # km&h B. " km&h
C. ".2# km&h D. $.# km&h
Answer & Explanation
Answer:%&tion A
Explanation:
:et bhay8s s&eed be xkmChr.
/hen,30
*30
) 3
x 2x
"x) 30
x) # kmChr.
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12. 'obert is travelling on his cycle and has calculated to reach &oint at 2 ;.K. if he travels at 10
km&h, he will reach there at 12 noon if he travels at 1# km&h. t what s&eed must he travel to
reach at 1 ;.K.!
A. km&h B. 11 km&h
C. 12 km&h D. 14 km&h
Answer & Explanation
Answer:%&tion C
Explanation:
:et the distance travelled by xkm.
/hen,x
*x
) 2
10 1#
3x* 2x) "0
x) "0 km.
/ime taken to travel "0 km at 10 kmChr )"0
hrs) " hrs.
10
7o, 'obert started " hours before 2 ;.K. i.e.,at .K.
'e(uired s&eed )"0
km&h.) 12 km&h.
#
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13. It takes eight hours for a "00 km ourney, if 120 km is done by train and the rest by car. It
takes 20 minutes more, if 200 km is done by train and the rest by car. /he ratio of the s&eed
of the train to that of the cars is=
A. 2 = 3 B. 3 = 2
C. 3 = 4 D. 4 = 3
Answer & Explanation
Answer:%&tion C
Explanation:
:et the s&eed of the train be xkmChr and that of the car be ykmChr.
/hen, 120 40 ) 1 4 ) 1 ....+i-
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x y x y 1#
nd,200
400
)2#
1
2
)1
....+ii-
x y 3 x y 24
7olving +i- and +ii-, we get= x) "0 and y) 0.
'atio of s&eeds ) "0 = 0 ) 3 = 4.
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14. farmer travelled a distance of "1 km in hours. e travelled &artly on foot J 4 kmChr and
&artly on bicycle J kmChr. /he distance travelled on foot is=
A. 14 km B. 1# km
C. 1" km D. 1$ km
Answer & Explanation
Answer:%&tion C
Explanation:
:et the distance travelled on foot be xkm.
/hen, distance travelled on bicycle ) +"1 *x- km.
7o,x
+"1 *x-
)
4
x 4+"1 *x- ) 3"
#x) 0
x) 1" km.
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1#. man covered a certain distance at some s&eed. ad he moved 3 km&h faster, he would have
taken 40 minutes less. If he had moved 2 km&h slower, he would have taken 40 minutes
more. /he distance +in km- is=
A. 3# B. 3"
2
3
C. 3$
1
2 D. 40
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Answer & Explanation
Answer:%&tion D
Explanation:
:et distance ) xkm and usual rate ) ykm&h.
/hen,x
*x
)40
2y+y 3- ) x....+i-
y y 3 "0
nd,x
*x
)40
y+y* 2- ) 3x....+ii-
y*2 y "0
%n dividing +i- by +ii-, we get= x) 40.
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Probability:
1. /ickets numbered 1 to 20 are mied u& and then a ticket is drawn at random. What is the
&robability that the ticket drawn has a number which is a multi&le of 3 or #!
A.
1
2 B.
2
#
C.
1# D.
20
Answer & ExplanationAnswer:%&tion D
Explanation:
ere, 7 ) P1, 2, 3, 4, ...., 1, 20Q.
:et E ) event of getting a multi&le of 3 or # ) P3, " , , 12, 1#, 1, #, 10, 20Q.
;+E- )n+E-
)
.
n+7- 20
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2. bag contains 2 red, 3 green and 2 blue balls. /wo balls are drawn at random. What is the
&robability that none of the balls drawn is blue!
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A.
10
21 B.
11
21
C.
2
$ D.
#
$
Answer & Explanation
Answer:%&tion A
Explanation:
/otal number of balls ) +2 3 2- ) $.
:et 7 be the sam&le s&ace.
/hen, n+7- ) umber of ways of drawing 2 balls out of $
) $A2R
)+$ "-
+2 1-
) 21.
:et E ) Event of drawing 2 balls, none of which is blue.
n+E- ) umber of ways of drawing 2 balls out of +2 3- balls.
) #A2
)+# 4-
+2 1-
) 10.
;+E- )n+E-
)10
.
n+7- 21
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3. In a bo, there are red, $ blue and " green balls. %ne ball is &icked u& randomly. What is the
&robability that it is neither red nor green!
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A.
1
3 B.
3
4
C.
$
1 D.
21
E.
21
Answer & Explanation
Answer:%&tion A
Explanation:
/otal number of balls ) + $ "- ) 21.
:et E ) event that the ball drawn is neither red nor green
) event that the ball drawn is blue.
n+E- ) $.
;+E- )n+E-
)$
)1
.
n+7- 21 3
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4. What is the &robability of getting a sum from two throws of a dice!
A.
1
" B.
1
C.
1
D.
1
12
Answer & Explanation
Answer:%&tion C
Explanation:
In two throws of a die, n+7- ) +" "- ) 3".
:et E ) event of getting a sum )P+3, "-, +4, #-, +#, 4-, +", 3-Q.
;+E- )n+E-
)4
)1
.
n+7- 3"
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#. /hree unbiased coins are tossed. What is the &robability of getting at most two heads!
A.
3
4 B.
1
4
C.
3
D.
$
Answer & Explanation
Answer:%&tion D
Explanation:
ere 7 ) P///, //, //, //, /, /, /, Q
:et E ) event of getting at most two heads.
/hen E ) P///, //, //, //, /, /, /Q.
;+E- )n+E-
)$
.
n+7-
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". /wo dice are thrown simultaneously. What is the &robability of getting two numbers whose
&roduct is even!
A.
1
2 B.
3
4
C.
3
D.
#
1"
Answer & Explanation
Answer:%&tion B
Explanation:
In a simultaneous throw of two dice, we have n+7- ) +" "- ) 3".
/hen, E ) P+1, 2-, +1, 4-, +1, "-, +2, 1-, +2, 2-, +2, 3-, +2, 4-, +2, #-, +2, "-, +3, 2-, +3, 4-,
+3, "-, +4, 1-, +4, 2-, +4, 3-, +4, 4-, +4, #-, +4, "-, +#, 2-, +#, 4-, +#, "-, +", 1-,
+", 2-, +", 3-, +", 4-, +", #-, +", "-Q
n+E- ) 2$.
;+E- )n+E-
)2$
)3
.
n+7- 3" 4
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$. In a class, there are 1# boys and 10 girls. /hree students are selected at random. /he
&robability that 1 girl and 2 boys are selected, is=
A.
21
4" B.
2#
11$
C.
1
#0 D.
3
2#
Answer & Explanation
Answer:%&tion A
Explanation:
:et 7 be the sam&le s&ace and E be the event of selecting 1 girl and 2 boys.
/hen, n+7- ) umber ways of selecting 3 students out of 2#
) 2#A3R
)+2# 24 23-
+3 2 1-
) 2300.
n+E- ) +10
A11#
A2-
) 10 +1# 14-
+2 1-
) 10#0.
;+E- )n+E-
)10#0
)21
.
n+7- 2300 4"
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. In a lottery, there are 10 &ri6es and 2# blanks. lottery is drawn at random. What is the
&robability of getting a &ri6e!
A.
1
10 B.
2
#
C.
2
$ D.
#
$
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Answer & Explanation
Answer:%&tion C
Explanation:
; +getting a &ri6e- )10
)10
)2
.
+10 2#- 3# $
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. Brom a &ack of #2 cards, two cards are drawn together at random. What is the &robability of
both the cards being kings!
A.
1
1# B.
2#
#$
C.
3#
2#" D.
1
221
Answer & Explanation
Answer:%&tion D
Explanation:
:et 7 be the sam&le s&ace.
/hen, n+7- ) #2A2)+#2 #1-
) 132".
+2 1-
:et E ) event of getting 2 kings out of 4.
n+E- ) 4A2)+4 3-
) ".
+2 1-
;+E- )n+E-
)"
)1
.
n+7- 132" 221
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10. /wo dice are tossed. /he &robability that the total score is a &rime number is=
A.
1
" B.
#
12
C.
1
2 D.
$
Answer & Explanation
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Answer:%&tion B
Explanation:
Alearly, n+7- ) +" "- ) 3".
:et E ) Event that the sum is a &rime number.
/hen E ) P +1, 1-, +1, 2-, +1, 4-, +1, "-, +2, 1-, +2, 3-, +2, #-, +3, 2-, +3, 4-, +4, 1-, +4, 3-,
+#, 2-, +#, "-, +", 1-, +", #- Q
n+E- ) 1#.
;+E- )n+E-
)1#
)#
.
n+7- 3" 12
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11. card is drawn from a &ack of #2 cards. /he &robability of getting a (ueen of club or a king of
heart is=
A.
1
13 B.
2
13
C.
1
2" D.
1
#2
Answer & ExplanationAnswer:%&tion C
Explanation:
ere, n+7- ) #2.
:et E ) event of getting a (ueen of club or a king of heart.
/hen, n+E- ) 2.
;+E- )
n+E-
)
2
)
1
.n+7- #2 2"
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12. bag contains 4 white, # red and " blue balls. /hree balls are drawn at random from the bag.
/he &am