model 1 basic number system Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

If x, y, z and w be the digits of a number beginning from the left, the number is

a) xyzw

b) wzyx

c) x + 10y + 100z + 1000w

d) $10^3$x + $10^2$y + 10z + w

Question : 2

If n and p are both odd numbers, which of the following is an even number?

a) n + p

b) n + p + 1

c) np + 2

d) np

Question : 3

For the integer n, if $n^3$ is odd, then which of the following statements are true? I. n is odd. II. $n^2$ is odd. III. $n^2$ is even

a) I only

b) II only

c) I and II only

d) I and III only

Question : 4

If n is an integer between 20 and 80, then any of the following could be n+7 except

a) 47

b) 58

c) 84

d) 88

Question : 5

P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q?

a) 16

b) 20

c) 35

d) 65

Question : 6

There are just two ways in which 5 may be expressed as the sum of two different positive (non-zero) integers, namely 5 = 4 + 1 = 3 + 2. In how many ways, 9 can be expressed as the sum of two different positive (non-zero) integers?

a) 3

b) 4

c) 5

d) 6