Number System MCQs

Question 1

Between two distinct rational numbers a and b, there exists another rational number which is :

Accepted Answer

$$\frac{a + b}{2}$$

Answer

$$\frac{a}{2}$$

Answer

$$\frac{b}{2}$$

Answer

$$\frac{ab}{2}$$

Question 2

A number is divisible by 11 if the difference between the sums of the digit in odd even places respectively is :

Accepted Answer

Zero or a multiple of 11

Answer

A multiple of 3

Answer

A multiple of 5

Answer

Zero or a multiple of 7

Question 3

6 × 3 (3 - 1) is equal to :

Accepted Answer

36

Answer

19

Answer

20

Answer

53

Question 4

325325 is a six-digit number. It is divisible by :

Accepted Answer

ALL 7, 11 AND 13

Answer

7 ONLY

Answer

11 ONLY

Answer

13 ONLY

Question 5

If a and b are two numbers such that ab = 0, then -

Accepted Answer

a = 0 or b = 0 or both

Answer

a = 0 and b = 0

Answer

a = 0 and b $$ 
e $$ 0

Answer

b = 0 and a $$ 
e $$ 0

Question 6

The number of zeros at the end of 60! is :

Accepted Answer

14

Answer

12

Answer

16

Answer

18

Question 7

In a division problem, the divisor is 7 times of quotient and 5 times of remainder. If the dividend is 6 times of remainder, then the quotient is equal to :

Accepted Answer

1

Answer

0

Answer

7

Answer

None of these

Question 8

What should be the maximum value of q in the following equation? 5P9 - 7Q2 + 9R6 = 823

Accepted Answer

7

Answer

5

Answer

6

Answer

9

Question 9

Let n be a natural number such that $$\frac{1}{2}$$ + $$\frac{1}{3}$$ + $$\frac{1}{7}$$ + $$\frac{1}{n}$$ is also a natural number. Which of the following statements is not true ?

Accepted Answer

n > 84

Answer

2 divides n

Answer

3 divides n

Answer

7 divides n