CAT 1995 — QA Question 28
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.
The length of a ladder is exactly equal to the height of the wall it is learning against. If lower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m away from the wall, the upper end of the ladder coincides with the top of the wall. Then the height of the wall is
Answer & solution
- A
12 m
15 m
- C
18 m
- D
11 m
The figure can be drawn as shown above.
Height of the wall = AD = AC = (AB + 3) or AB = (AC – 3).
In right-angled triangle ABC, AB2 + BC2 = AC2.
Thus, (AC – 3)2 + 81 = AC2.
∴ AC = 15 m.
Hence, height of the wall = 15 m.
Hence, option (b).