1.  What number should be subtracted from each of the number 54, 71, 75 and 99 so that the remainders may be proportional ?
A. 1
B. 2
C. 3
D. 6

Answer: Option C

Explanation:

Let the required number be N,
From question, (54 - N) / (71 - N) = (75 - N) / (99 - N)
⇒ (54 - N) x (99 - N) = (75 - N) x (71 - N)
⇒ N2 - 153N + 5346 = N2 - 146N + 5325
⇒ 7N = 21
∴ N = 3