CAT 1995 — QA Question 8

Hint: The best way to solve this question is to multiply the alternatives by 72 and find which one gives you the middle three digits as 96.7.

To save time, you can multiply 72 by integer values only.
E.g. 72 × 3 = 216, 72 × 5 = 360 and 72 × 7 = 504.
It is to be noted that when the decimal part of the answer will be multiplied by 72, the actual answer will increase.
Let us now roughly multiply the decimal values of the options also by 72. E.g. 72 x 0.2 = 14.4, 72 × 0.1 = 7.2 and 72 × 0.5 = 36.
So option (a) will yield (216 + 14) = 230
(approximately), (b) will yield (360 + 7) = 367
(approximately), (c) will yield (360 + 36) = 396
(approximately) and (d) will yield (504 + 14) = 528
(approximately).
Of these, only option (c) satisfies our requirement of 2nd and 3rd digits being 96.