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CAT 2002 — QA Question 51

Number TheoryEasy

Each question is followed by two statements A and B. Answer each question using the following instructions:

Answer (1) if the question can be solved by any one of the statements, but not the other one.
Answer (2) if the question can be solved by using either of the two statements.
Answer (3) if the question can be solved by using both the statements together and not by any one of them.
Answer (4) if the question cannot be solved with the help of the given data and more data is required.

Four students were added to a dance class. Would the teacher be able to divide her students evenly into a dance team (or teams) of 8?

A. If 12 students were added, then the teacher could put everyone in teams of 8 without any left overs.
B. The number of students in the class is currently not divisible by 8.

Answer & solution

Correct answer: 1

  • 1

  • B

    2

  • C

    3

  • D

    4

Solution

Consider statement A:

Let x be the total number of students present in the class.

∵ (x + 12) − (x + 4) = 8

∴ If (x + 12) is divisible by 8, then (x + 4) too is divisible by 8.

Statement A alone is sufficient to answer the question.

From statement B alone, we cannot conclude anything.

Hence, option (a).

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CAT 2002 QA Q51: Each question is followed by two statements A and B. Answer each question using the following instructions: An — Solution | TheCATExam