Aptitude Collection Center

1. What least number should be added to 16380 to make it a perfect square?

(1) 1

(2) 2

(3) 3

(4) none these

2. How many numbers between 500 and 1000 are divisible by 13?

(1) 33

(2) 34

(3) 35

(4) none these

3. A Certain number when divided by 95 leaves a remainder 30. What is the remainder if, the same number be divided by 19?

(1) 8

(2) 9

(3) 10

(4) none these

4. Four bells ring at intervals of 10 min, 12 min, 15 min, & 20 min respectively. If they ring together at 8 am, find after what interval of time do they ring together again?

(1) 9 am

(2) 10 am

(3) 11 am

(4) none these

5. A boy has three kinds of marbles, the first kind 143, the second 182 & the third 208. Find the least number of heaps into which he can keep them separately.

(1) 13

(2) 21

(3) 31

(4) none these

6. LCM of , , & is

(1) 20/1

(2) 30/1

(3) 40/3

(4) none these

7. The HCF & LCM of two numbers are 44 & 264 respectively. If 2 divide the first number, the quotient is 44. Find the other number.

(1) 88

(2) 132

(3) 124

(4) none these

8. Find the unit digit of the product of all the elements of the set which consists of all the prime numbers greater than 2 but less than 222.

(1) 3

(2) 4

(3) 5

(4) none these

9.

(1) 0

(2) 1

(3) 2

(4) none these

10. Find the unit digit of 222⁸⁸⁸ + 888²²².

(1) 0

(2) 1

(3) 2

(4) none these

11. Find the remainder when 11⁸ is divided by 7

(1) 0

(2) 1

(3) 2

(4) none these

12. A monkey wanted to climb on the smooth vertical pole of height of 35 metre. In the first one minute he climbs up 5 metre in the next one minute he slips down by 2 metre. Further he repeated the same process till he has reached on the top of the pole. How many times it has to go upward to reach the apex of the pole?

(1) 10

(2) 11

(3) 12

(4) none these

13. The unit digit of the following expression is

(1!)¹ + (2!)² + (3!)³ + (4!)⁴ + (5!)⁵ + (6!)⁶

(1) 5

(2) 6

(3) 7

(4) none these

14. A bought some chocolates from a shop, he gave to B one less than half of what he had initially. Then be and given 3 chocolates to C and then half of the chocolates which he had then given to D. finally he gave one chocolate to E and one chocolate with him. The number of chocolates he had bought.

(1) 8

(2) 12

(3) 14

(4) none these

15. A typist starts to type the serial numbers of candidates in a list, up to 500. Minimum how many times he has to press the keys of numerals only?

(1) 1389

(2) 1392

(3) 1344

(4) none these