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CAT 1991 — QA Question 54

Data SufficiencyEasy

Each of these items has a question followed by two statements. As the answer,

Type 1, If the question can be answered with the help of statement I alone,
Type 2, If the question can be answered with the help of statement II alone,
Type 3, If both the statement I and statement II are needed to answer the question, and
Type 4, If the question cannot be answered even with the help of both the statements.

X says to Y, “I am 3 times as old as you were 3 years ago”. How old is X?

  1. Y’s age 17 years from now will be same as X’s present age.
  2. X’s age nine years from now is 3 times Y’s present age.

Answer & solution

Correct answer: 1

  • 1

  • B

    2

  • C

    3

  • D

    4

Solution

Let present age of X and Y be x and y respectively.

We have, x = 3(y - 3) ... (i)

From statement I, x = y + 17 ... (ii)

From statement II, x + 9 = 3y ... (iii)

From (i) and (ii) x = 37.5 years and y = 12.5 years

But, equations (i) and (iii) are same so we cannot find values of x and y.

Hence, 1.

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CAT 1991 QA Q54: Each of these items has a question followed by two statements. As the answer, Type 1, If the question can be a — Solution | TheCATExam