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

Question : 1

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 : 2

If (n - 1) is an odd number, what are the two other odd numbers nearest to it?

a) n, n-1

b) n, n-2

c) n - 3, n + 1

d) n - 3, n + 5

Question : 3

Which of the following is always odd?

a) Sum of two odd numbers

b) Difference of two odd numbers

c) Product of two odd numbers

d) None of these

Question : 4

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 : 5

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

a) xyz

b) x + 10y + 100z

c) 10x + y + 100z

d) 100x + 10y + z

Question : 6

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