02 Aptitude Quiz

1

Q29. The number of odd integers between 1000 and 9999 with no digit repeated is-

A. 3333

B. 2120

C. 2240

D. 3331

Answer & Solution

Answer & Solution

Answer:

Solution: Exp. We have 5 odd numbers, placing it in the last place gives us 5 possibilities.The first digit can be anything from 1 to 9 excluding the odd number we placed at the end, hence we have 9-1 = 8 ways.The second digit can be anything from 0 to 9 excluding the odd number and the first digit = 8 ways.The third digit can be from 0 to 9 excluding three digits = 7.Total number of ways = 5x8x8x7 = 2240.

2

Q33. Which number will come next in the following sequence 2, 6, 14, 30, 62,

A. 124

B. 126

C. 128

D. 132

Answer & Solution

Answer & Solution

Answer:

Solution:

3

Q13. The number of different permutations of the word 'BANANA' is-

A. 20

B. 30

C. 60

D. 120

Answer & Solution

Answer & Solution

Answer:

Solution: Exp. Number permutations = 6! / (3! x 2!) = 60 (A occurs thrice, N occurs twice, hence dividing by 3! and 2!).

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4

Q25. A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally he had-

A. 588 apples

B. 600 apples

C. 700 apples

D. 674 apples

Answer & Solution

Answer & Solution

Answer:

Solution: Exp. Let original number of apples = X.40% of X + 420 = X.0.4X + 420 = X.X = 700.

5

Q28. The price of rice decreases by 10%, one person buys 3.1 kg more rice in Rs.l39.50. What is the real price of rice per kg?

A. Rs.5

B. Rs.3

C. Rs. 8

D. Rs. 6

Answer & Solution

Answer & Solution

Answer:

Solution: Exp. Let X be real price of rice and Y be the initial amount of rice bought for 139.50.XY = 139.50(X - 10% of X)(Y+3.1) = 139.50.0.9X(Y+3.1) = 139.5.X = 5.

6

Q24. If the ratio of curved surface area (in sq. cm) and the volume (in cu. cm) of a cylinder is 1: 3 and the height of the cylinder is 4 cm, then what is the volume of the cylinder?

A. 3 : 2π

B. 2π : 3

C. π : 5

D. π : 6

Answer & Solution

Answer & Solution

Answer:

Solution:

7

Q12. Find the maximum quantity of water that can be present in a cylindrical pipe of diameter 10 cm and length 35 cm-

A. 5500 ml

B. 2750 ml

C. 1375 ml

D. 6875 ml

Answer & Solution

Answer & Solution

Answer:

Solution:

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8

Q2. 40% of 80 + ? = 60% of 90 __

A. 21

B. 31

C. 22

D. 32

Answer & Solution

Answer & Solution

Solution: Exp. 40% of 80 = 0.4 x 80 = 32.60% of 90 = 0.6 x 90 = 54.? = 54 - 32 = 22.

9

Q29. The average of three numbers is 28. First number is half to the second and third number is double to second number. What will be the third number?

A. 86

B. 84

C. 24

D. 48

Answer & Solution

Answer & Solution

Answer:

Solution: Exp. Let first number = x.Second number = 2x.Third number = 4x.Average of numbers = (x + 2x + 4x)/3 = 28.x = 12Third number = 4x = 48.

10

Q23. The H.F. of two numbers is 23 and the other two factors of their L.M. are 13 and 14. The larger of the two number is______

A. 345

B. 299

C. 322

D. 321

Answer & Solution

Answer & Solution

Answer:

Solution:

11

Q9. The average age of 4 men in a group is 34 years. If a man joins the group, the average age of the group increases by 2 years. What will be the age of that man?

A. 44 years

B. 43 years

C. 41 years

D. 42 years

Answer & Solution

Answer & Solution

Answer:

Solution: Exp. Sum of ages of 4 men = 4*34 = 136.Average age of 5 men (including the man who joined the group) = 34 + 2 = 36.Sum of ages of 5 men = 5*36 = 180.Age of the new man = 180 - 136 = 44.

12

Q4. The average weight of 18 students in a class is 15 kg. If one student leaves the class, the average weight decreases by 0.8 kg. What is the weight of that student?

A. 25.5kg

B. 26.6 kg

C. 29.6 kg

D. 28.6kg

Answer & Solution

Answer & Solution

Solution:

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13

Q13. A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them, then after 6 months with an amount equal to that of In what proportion should the profit at the end of one year be distributed among A, B and C?

A. 2 : 3 : 7

B. 6 : 10 : 5

C. 10 : 6 : 11

D. 11 : 10 : 9

Answer & Solution

Answer & Solution

Answer:

Solution:

14

Q2. A sum of money becomes 8 times itself in two years under simple interest at certain rate. In how many years would the sum be 15 times itself?

A. 4

B. 3

C. 8

D. 10

Answer & Solution

Answer & Solution

Answer:

Solution: Exp. Interest after 2 years = 7*Principal (after 2 years total is 8 times Principal)Rate>= Interest/(Principal*time)>=7*Principal/(Principal*2)3.5For the sum to be 15 times Principal,Interest = 14*Principal.Hence, Time>= Interest/(Principal*Rate)>= 14*Principal/(Principal*3.5)4

15

Q2. A sum of money becomes 8 times itself in two years under simple interest at certain rate. In how many years would the sum be 15 times itself?

A. 4

B. 3

C. 8

D. 10

Answer & Solution

Answer & Solution

Answer:

Solution: Exp. Interest after 2 years = 7*Principal (after 2 years total is 8 times Principal)Rate>= Interest/(Principal*time)>=7*Principal/(Principal*2)3.5For the sum to be 15 times Principal,Interest = 14*Principal.Hence, Time>= Interest/(Principal*Rate)>= 14*Principal/(Principal*3.5)4

16

Q22. 10 chairs and 5 tables are bought for 2500. If the average price of a chair is 140, then what is the average price of a table?

A. Rs. 220

B. Rs. 222

C. Rs. 240

D. Rs. 242

Answer & Solution

Answer & Solution

Answer:

Solution: Exp. Total price of chairs = 10*140 = 1400.Total price of tables = 2500 - 1400 = 1100.Average price of tables = 1100/5 = 220.

17

Q31. Two motorcycles with a speed of 25 km/hr, 50 km/hr respectively covers the same distance. If one motorcycle takes 20 minutes more than the other, what will be the distance?

A. 4 km

B. 70 km

C. 16 km

D. 20 km

Answer & Solution

Answer & Solution

Answer:

Solution: No Explanation

18

Q32. Sheela in a fog passed a man running at the rate of 12 km/hr in the same direction. He could see Sheela for 5 minute and it was visible to him upto a distance of 100 metre. What was the speed of Sheela?

A. 720 km/hr

B. 13 km/hr

C. 8 km/hr

D. 9 km/hr

Answer & Solution

Answer & Solution

Solution: No Explanation

19

Q19. If (11.98 X 11.98+ 11.98Xx+ 0.02 x 0.02)is a perfect square, then x =?

A. 0.4

B. 0.2

C. 0.04

D. 0.02

Answer & Solution

Answer & Solution

Answer:

Solution:

20

Q20. The six digit number 123x7y is divisible by 36. Find the minimum value of x_____

A. 8

B. 1

C. 3

D. 5

Answer & Solution

Answer & Solution

Answer:

Solution: