1.55^{3} + 17^{3} - 72^{3} is divisible by

a) both 3 and 13

b) both 7 and 17

c) both 3 and 17

d) both 7 and 13

Explanation:

2. Out of 128 boxes of oranges, each box contains at least 120 and at most 144 oranges. The number of boxes containing the same
number of oranges is at least

a) 5

b) 103

c) 6

d) Cannot be determined

Explanation:

3. In a 4 - digit number, the sum of the first two digits is equal to that of the last two digits. The sum of the first and last digits is equal
to the third digit. Finally, the sum of the second and fourth digits is twice the sum of the other two digits. What is the third digit
of the number?

a) 5

b) 8

c) 1

d) 4

Explanation:

4. Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by
540. What is the new product?

a) 1050

b) 540

c) 1440

d) 1590

Explanation:

5. In a number system the product of 44 and 11 is 3414. The number 3111 of this system, when converted to the decimal number
system, becomes

a) 406

b) 1086

c) 213

d) 691

Explanation:

6. Every ten years the Indian government counts all the people living in the country. Suppose that the director of the census has
reported the following data on two neighbouring villages Chota Hazri and Mota Hazri

Chota Hazri has 4,522 fewer males than Mota hazri.

Mota Hazri has 4,020 more females than males.

Chota Hazri has twice as many females as males.

Chota Hazri has 2,910 fewer females than Mota Hazri.

What is the total number of males in Chota Hazri?

a) 11264

b) 14174

c) 5632

d) 10154

Explanation:

7. Let x, y and z be distinct integers. x and y are odd positive, and z is even positive. Which one of the following statements can not
be true?

a) \[\left(x-z\right)^{2}\] y is even

b) (x-z) y^{2} is odd

c) (x – z)y is odd

d) \[\left(x-y\right)^{2}\] z is even

Explanation:

8. Number S is obtained by squaring the sum of digits of a two digit number D. If difference between S and D is 27, then the two digit
number D is

a) 24

b) 54

c) 34

d) 45

Explanation:

9. When \[2^{256}\] is divided by 17 the remainder would be

a) 1

b) 16

c) 14

d) None of these

Explanation:

10. At a book store, “MODERN BOOK STORE” is flashed using neon lights. The words are individually flashed at intervals of
\[2\frac{1}{2},4\frac{1}{4},5\frac{1}{8}\] seconds respectively, and each word is put off after a second. The least time after which the full name of the
bookstore can be read again is

a) 49.5 seconds

b) 73.5 seconds

c) 1742.5 seconds

d) 855 seconds

Explanation: