The CAT QA section requires speed and accuracy, along with a thorough understanding of the Relations. This article provides a set of MCQs on Relations to help you understand the topic and improve your problem-solving skills with the help of detailed solutions by ensuring conceptual clarity, which will help you in the CAT 2025 exam preparation
Whether you're revising the basics or testing your knowledge, these MCQs will serve as a valuable practice resource.
The CAT 2025 exam is expected to follow a similar trend to the CAT 2024, with 22 questions from the QA section out of a total of 68 questions.
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CAT MCQs on Relations
1. P, Q, R and S are four statements. Relation between these statements is as follows. I. If P is true, then Q must be true.
II. If Q is true, then R must be true.
III. If S is true, then either Q is false or R is false.
Which of the following must be true?
II. If Q is true, then R must be true.
III. If S is true, then either Q is false or R is false.
Which of the following must be true?
A
If P is true, then S is false.
B
If S is false, then Q must be true.
C
If Q is true, then P must be true.
D
If R is true, then Q must be true.
2. Let \( u_0 = 0 \), and \( u_{n+1} = 2u_n + 1 \). What is the value of \( u_{10} \)? (nearest to)
A
1023
B
2047
C
4095
D
8195
3. The function given by \( f(x) = |x|^3 \) is
A
even
B
odd
C
neither
D
both
4. The sum of two odd functions
A
is always an even function
B
is always an odd function
C
is sometimes odd and sometimes even
D
may be neither odd nor even
5. If A = 2 and B = 4, what is the value of \(@(/(*(A, B), B), A)\)?
A
2
B
4
C
6
D
16
6. Which expression gives the sum of A, B, and C?
A
*(@(*( @(B, A), 2), C), 3)
B
/(@(*( @(B, A), 3), C), 2)
C
/(*(@(B, A), 2), C), 3)
D
None of these
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