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CAT 1991 — QA Question 51

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.

What is the value of prime number x?

  1. x2 + x is a two digit number greater than 50.
  2. x3 is a three digit number.

Answer & solution

Correct answer: 1

  • 1

  • B

    2

  • C

    3

  • D

    4

Solution

From statement I : x2 + x > 50 and x2 + x < 100

⇒ x(x + 1) > 50

Only prime number 7 satisfies the above equation. 

So the question can be answered from statement 1 alone.

From statement II : x can be 5 or 7.

Hence, 1.

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CAT 1991 QA Q51: Each of these items has a question followed by two statements. As the answer, Type 1, If the question can be a — Solution | TheCATExam