Question

There are three poles X, Y and Z of varying height S. Spiders A, B and C begin climbing up the three poles simultaneously. In each attempt A crawls 5 cm up the pole X and slides back 1 cm, B crawls 6 cm up the pole Y and slides back 3 cm and C crawls 7 cm up the pole Z and slides back 2 cm. Assuming that each makes 50 attempts before reaching the top, the heights in cms of three poles respectively are

• A. 200, 150, 252
• B. 201, 151, 250
• C. 201, 153, 252
• D. 200, 153, 250

Answer 1

The correct option is C 201, 153, 252

Given in each attempt A crawls 5 cm up the pole X and slides back 1 cm. Therefore, height covered up by A in one attempt is 5 cm - 1 cm = 4 cm
Similarly, height covered up by B and C in one attempt is (6 cm - 3 cm =) 3 cm and (7 cm - 2 cm =) 5 cm respectively.
So, attempts before reaching the top, height covered by Spider A = $50\times 4+1=201cm$
Similarly, for B and C, height $=50\times 3+3$ = 153 cm and $50\times 5+2=252cm$

Hence, option (C) is the correct answer.