Aptitude Collection Center

1. LCM of 24, 36 and a third number is 2016 and their GCD is 4. What is the smallest possible value of the third number?

a) 36

b) 224

c) 324

d) 216

2. Find the remainder when 2222⁵⁵⁵⁵+5555²²²² is divided by 7

a) 1

b) 3

c) 0

d) 5

3. What is the difference between the largest and the smallest 4-digit number that can be formed with the digits 0,7,8 and 9 without repetition

a) 5683

b) 2781

c) 3820

d) 5432

4. If N chocolates are divided among 6 boys, each gets an equal number of chocolates. Find W, if it is a perfect cube and is by the first three perfect squares?

a) 216

b) 324

c) 624

d) 625

5. Three alarms ring at intervals of 2,6,12 minutes respectively. If they all ring together at 1 PM when will they ring all together the next time.

a) 1 AM

b) 1.12 PM

c) 1.12 AM

d) Next 1 PM

6. In a division, the quotient and the remainder are two and four less than the divisor respectively. If the number is 178, what are the quotient and the divisor

a) 16,21

b) 12,14

c) 14,12

d) 21,16

7. Which of the following is exactly divisible by all prime numbers between 10 and 20?

a) 75294

b) 46189

c) 35273

d) 48391

8. What is the least number that should be added to 37301 so that it is exactly divisible by 27?

a) 21

b) 6

c) 14

d) 13

9. If n² is perfect cube, then which of the following statements is always true?

a) n is odd

b) n is even

c) n³ is perfect square

d) n is a perfect cube

10. What is the minimum number of identical square tiles required to floor a room measuring 10.8m × 9m?

a) 64

b) 72

c) 30

d) 48

11. 1000! ends with _________ number of consecutive zeros

a) 248

b) 249

c) 312

d) 124

12. Simplify:

a)

b)

c)

d)

13. What comes in the place of x in the following question? 8^9.4 × 4^12.8 × 64^8.1 = 16^x

a) 41.8

b) 16.2

c) 18.4

d) 25.6

14. If k+2 is a four digit odd number, then which among the following must be a four digit even number

a) k+1

b) k-1

c) k+3

d) More than one of above

15. If x+y+z is a positive number, then which of the following cannot be true?

a) x<0<y<z

b) y<0<x<z

c) z<x<y<0

d) x<y<z

16. 120 apples were present with total of 7 persons. Each person had atleast 13 apples. The number of apples with each is distinct. Which of the following cannot be the total number of apples with any 2 persons.

a) 47

b) 44

c) 27

d) 33

17. Numbers from 1 to 100 are written side by side. What is the 74^th digit?

a) 3

b) 4

c) 1

d) 5