CAT 1995 — QA Question 8
Direction: Answer the questions based on the following information.
Four sisters — Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game, each sister had Rs.32.
72 hens cost Rs.__ 96.7__. Then what does each hen cost, where two digits in place of ‘__’ are not visible or are written in illegible hand?
Answer & solution
- A
Rs. 3.23
- B
Rs. 5.11
Rs. 5.51
- D
Rs. 7.22
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.