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Question

Answer the questions based on the information given below. There are six rods namely, R, S, T, U, V and W. They have different heights. Rod V is longer than rod T but shorter than rod U and S. Rod R is longer than rod U and S. Rod R is not the longest. Rod W is 150cm long and rod V is 105cm long. No two rods are of the same height.

If the sum of the heights of rods V and S is 220 cm and the sum of heights of U and W is 270 cm then what would be the difference of the heights of rod U and S?

A 5 cm Correct Answer Incorrect Answer
B 4 cm Correct Answer Incorrect Answer
C 8 cm Correct Answer Incorrect Answer
D 10 cm Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Rod V is longer than rod T but shorter than rod U and S. U/S > V > T Rod R is longer than rod U and S. R > U/S > V > T Rod R is not the longest. Rod W is 150cm long and rod V is 105cm long. No two rods are of the same height. W(150) > R > S/U > U/S > V(105) > T V + S = 220 105 + S = 220 S = 220 – 105 = 115 U + W = 270 U + 150 = 270 U = 270 – 150 = 120 Required difference = 120 – 115 = 5 cm.

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