Practice Test (CSAT Level) - 1

Total No. of Question: 80 Time: 120 minutes

Questions carry 2.5 mark each and (-0.75) marks for wrong answer)

1. Ausdise went to a library in Iceland. She was permitted to choose most 'n' books from a collection of books available. The collection was defined as (2n + 1) books. If the total number of ways she could select a book is 63, find the value of 'n' A) 1 B) 2 C) 3 D) None

2. A is = A) 65 B) 66

3. B is = A) 10 B) 12

4. C is = A) 225 B) 325 5. D is = A) 105 B) 106 6. E is = A) 1480 B) 1484 7. If y = f (x) = (x + 2)/(x - 1), then

A] x = f (y) B] f (1) = 3 C] y increases with x for x < 1 D] f is a rational function of x

8. Rohit decided to produce a film named "Bangalore Rajdhani" to be completed in certain days. Original plan included 150 technical artists for work however due to some reason or other four artists dropped the second day, four more on third day and so on. Likewise it took Rohit to complete the film in 8 more days now. Find the number of days in which Rohit could complete the film A) 22 B) 23 C) 24 D) 25

9. Find the next term of series 1, 5, 14, 30, 55, ? A) 89 B) 91 C) 93 D) 125

For a project certain calculations are done as follows regarding project time consumption along with mathematical formulae;

Time Std. Dev Variance

Activity Most Most Most t =

Square of

optimistic Likely Pessimistic (a+4m+b)/6 ( b - a)/6 Std

a m b

Civil works 225 270 275 263.33 8.33 A

EOT Crane 135 180 210 177.50 B 156.25

Steam Turbine 285 330 350 C 10.83 117.36

Condenser 135 180 200 175.83 10.83 117.36

Civil works-STG 45 90 D 85.00 10.00 100.00

Boiler 255 300 365 303.33 18.33 336.11

Duct Modification 105 150 215 153.33 18.33 336.11 Total E 1232.64

While calculating above few values named as A, B, C, D, AND E have been hidden. You are required to find them as per formulae and table information given above.

C) 68 D) 69

C) 13 D) 15

C) 425 D) 525

C) 107 D) 108

C) 1490 D) 1474

10. After losing to Indian cricket team, England team wished to shake hand with each other. One team use to consist of 12 players each however due a on field spat between Virat and Peterson half of each side escapes. Hence out of all remaining each two players decided to shake hands with each other. After the event Virat asked Peterson both of whom eventually were shopping together with their girlfriends, as to how many shake hands would have taken place in their absence and lets have our shake hand here itself. Find out how many total shake hand took place A) 16 B) 15 C) 30 D) 7

11. Jerry mouse was sitting on roof top of a building eating butter. Tom cat while observing from other side of the road found that Jerry was making an angle of 600. However on moving 40m away from his current position, Tom observed that angle now was 300. Find the shortest way for Tom to reach to Jerry in length. A) 20m B) 55m C) 40m D) None

12. Read the following statement and chose the correct option 1 Area of arbitrary triangle is less than a quarter of square of its semi-

perimeter 2 Sum of the cubes of the legs of a right angled triangle is less than the cube

of the hypotenuse 3 In any angle semi-perimeter is greater than each of its sides. A) 1 only B) 2 and 3 only C) 1 and 3 only D) All above

13. The angle A of a triangle is equal to the sum of the other two angles. Also the ratio of angle B to angle C is 4:5. Find the ratio of three angles

A) 9 : 3 : 5 B) 8 : 7 : 5 C) 9 : 4 : 3 D) None

14. Alia travels from home to film studio by bike at a speed of 12 km/h and returns home slow by 3 km/h due to fatigue. If the total time taken by her is 140 minutes, find the distance travelled by her A) 12km B) 24km C) 10km D) 20km

15. Read the following statement and chose the correct option

1 Every Set is collection 2 Every Collection is a Set 3 Collection of good cricket players is not a set. A) 1 only B) 2 and 3 only C) 1 and 3 only D) All above