Number System Questions in CMAT Paper 2023 Slot – 1

1. If M, A, and T ate distinct positive integers such that M A T = 1947, then which of the following is the maximum possible value of M + A + T?
A 189
B 649
C 653
D 1949

EXPLANATION

Answer: C

1947 = 1 x 3 x 649= 3 x 11 x 59

Maximum value of M + A + T = 1 + 3 + 649 = 653

The answer is option C.

2. Let S(n) represents the sum of digits of a natural number n. For example, S(128)= 1 + 2 + 8 = 11. What is the value of S(2⁶ x 3⁴ x 5⁵) ?

A 9
B 11

C 14
D 10

EXPLANATION

Answer: A

2⁶ x 3⁴ x 5⁵ = (2 x 5)⁵ x 2 x 3⁴ = 16200000

S(2⁶ x 3⁴ x 5⁵) = S(16200000) = 9