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Which of the following is not possible ?

  • A.Dinesh is 20 years old
  • B.Ferguson is 18 years old
  • C.Ferguson is 19 years old
  • D.Ferguson is 20 years old

Answer: D

The statement that is not possible is Ferguson is 20 years old.

Six cousins of different ages from 17 to 22 must be exactly 17, 18, 19, 20, 21 and 22, with Eeshwar 22. Ferguson's age lies between Bharat's and Dinesh's, Amit is older than Bharat, and Chandan is older than Dinesh.

If Ferguson were 20, one of Bharat or Dinesh would have to be older than 20, that is 21. If Bharat were 21, Amit would have to be 22, but that is Eeshwar. If Dinesh were 21, Chandan would have to be 22, the same clash. So Ferguson cannot be 20.

The others are possible: for example Bharat 17, Ferguson 18, Amit 19, Dinesh 20, Chandan 21 makes Dinesh 20 and Ferguson 18; and Bharat 17, Amit 18, Ferguson 19, Dinesh 20, Chandan 21 makes Ferguson 19.

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