Arithmetic Reasoning - Verbal and Reasoning

Q1:

After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets would have been left after equal distribution. What was the total number of sweets ?

A 328

B 348

C 358

D Data inadequate

ANS:C - 358

Let the total number of sweets be (25x + 8).Then, (25x + 8) - 22 is divisible by 28 (25x - 14) is divisible by 28 28x - (3x + 14) is divisible by 28 (3x + 14) is divisible by 28 x = 14.Therefore Total number of sweets = (25 x 14 + 8) = 358.