Lightest of Five Rods

CMAT 2018 · Logical Reasoning · Medium · Logical Reasoning

A, B, C, D and E are five rods. E is longer than A which is longer than C and lighter than C, which is lighter than D. B is shorter than D, and heavier than it. E is longer than D, and heavier than it.

If B is the heaviest of all, then which of the following can be the lightest of all the five rods?

  1. A.

    E only

  2. B.

    A only

  3. C.

    E or A

  4. D.

    D or E

Answer

B

Explanation

Comparing the rods on the basis of weight:

  • AA is lighter than CC, which is lighter than DD: D>C>AD > C > A
  • BB is heavier than DD: B>DB > D
  • EE is heavier than DD: E>DE > D

It is given that BB is the heaviest. Combining the above statements gives: B>E>D>C>AB > E > D > C > A

Thus, AA is the lightest of all five rods.

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