Quant test-2

1. If m and n are integers and √mn = 10, which of the following cannot be a value of m + n?

A. 29
B.25
C. 101
D.52
E.50

2. A two – digit number is four times the sum of the two digits. If the digits are reversed, the number so obtained is 18 more than the original number. What is the original number?

A.12
B.24
C.36
D.42
E.48

3. x and y are positive integers and x is less than y. If x² + y² equals two times 5 and x + y equals two times 2. X/Y will equal.

A. 1/3
B.2/3
C.3/2
D. 1/4
E. 3/4

4. If x and y are different integers, both divisible by 5 , then which of the following is not necessarily true?

A.(x – y) is divisible by 5
B. x.y is divisible by 5
C.x-y is divisible by 5
D. x/y is divisible by 5
E. x² + y² is divisible by 5

5. What will be the remainder when 3²ⁿ + 3 is divided by 4, where n is a positive integer?

A.0
B. 1
C. 2
D. 3
E. cannot be determined.

6.If the seven digit number 30x0103 is a multiple of 9, then x can be

A.2
B. 5
C. 7
D. 8
E. 9

7. If a and b are two even integers then which one of the following is not necessarily true?

A. a + b is even
B. a – b is even .
C. a x b is even
D. a / b is even
E. a² + b is even

8. If a and b are two odd integers then which one of the following is not necessarily true?

A. a+b is even
B.a-b is even
C. a x b is odd
D.a² + b is even
E. a/b is odd

9. Which one of the following is the rational number lying between 6/7 and 7/8?

A. 95/112
B. 98/112.
C. 97/112
D. 99/112
E. 1/2

10. If 1 × 2 × 3 × ......... x n is denoted by n!, then what is the highest prime number that divides 30! to :

A. 97
B. 59
C. 29
D. 19
E. 17

Explanation for Question 1

Explanation for Question 2

Explanation for Question 3

Explanation for Question 4

Explanation for Question 5

Explanation for Question 6

Explanation for Question 7

Explanation for Question 8

Explanation for Question 9

Explanation for Question 10