KC+CET PYQs for Mathematical Reasoning with Solutions: Practice KCET Previous Year Questions

Updated on - Feb 16, 2026

Mathematical Reasoning is an important topic in the Mathematics section in KCET exam. Practising this topic will increase your score overall and make your conceptual grip on KCET exam stronger.

This article gives you a full set of KCET PYQs for Mathematical Reasoning with explanations for effective preparation. Practice of KCET Mathematics PYQs including Mathematical Reasoning questions regularly will improve accuracy, speed, and confidence in the KCET 2026 exam.

KCET PYQs for Mathematical Reasoning with Solutions

1.
The contrapositive of the inverse of $p \to \sim q$ is
- $\sim q \to p$
- $p \to q$
- $\sim q \to \sim p$
- $\sim p \to \sim q $
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2.
Which of the following is not a proposition.
- $\sqrt {3} $ is a prime
- $\sqrt {2} $ is a prime
- Mathematics is interesting
- 5 is an even integer
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3.
The negation of $p \to (\sim p \vee q) $ is
- $p \vee (p \vee \sim q)$
- $p \rightarrow \sim (p \vee q)$
- $p \rightarrow q$
- $p \wedge \sim q$
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4.
Which of the following is not a correct statement ?
- $\sqrt {3}$ is a prime
- The sun is a star
- Mathematics is interesting.
- $\sqrt {2}$ is a irrational
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5.
$p \rightarrow \sim q$ can also be written as
- p $\rightarrow$ q
- $\sim p v \sim q$
- $q \rightarrow p$
- $\sim q \rightarrow \sim p$
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6.
The inverse of the proposition $(p \wedge \sim q)\rightarrow r$ is
- $(\sim\,r) \rightarrow(\sim p) \vee q$
- $(\sim p) \vee q \rightarrow (\sim r)$
- $r \rightarrow p \wedge(\sim q) $
- $(\sim p)\vee(\sim q) \rightarrow r $
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7.
The converse of the contrapositive of $p \to \sim q$ is
- $\sim q \to q$
- $p \to \sim q$
- $\sim p \to \sim p$
- $\sim q \to p$
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8.
The contrapositive of the statement
“If two lines do not intersect in the same plane then they are parallel.” is
- If two lines are not parellel then they do not intersect in the same plane.
- If two lines are not parallel then they intersect in the same plane.
- If two lines are parellel then they do not intersect in the same plane.
- If two lines are parallel then they intersect in the same plane.
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9.
Which of the following is NOT true?
- $p\to (q\wedge r)\equiv (p\to q) \wedge (p \to r)$
- $ \sim (q \leftrightarrow r)\equiv (p \wedge \sim q)\vee(\sim p \wedge q) $
- $ (p \wedge\sim q)\leftrightarrow (p \to q) $is a tautology.
- $(p \to q) \wedge (q \rightarrow r) \rightarrow (p \rightarrow r)$is a tautology.
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10.
The contrapositive of "If two triangles are identical, then these are similar" is
- If two triangles are not similar then these are not identical
- If two triangles are not identical then these are not similar
- If two triangles are not identical then these are similar.
- If two triangles are not similar then these are identical.
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