Mathematical Reasoning - Algebra - Mathematics Previous Year Questions

1

2017 · Mathematics · Algebra · Mathematical Reasoning

KCET 2017

The contrapositive statement of the statement "If $x$ is prime number, then $x$ is odd" is

A

If $x$ is not odd, then $x$ is not a prime number

B

If $x$ is a prime number, then $x$ is not odd

C

If $x$ is not a prime number, then $x$ is not odd

D

If $x$ is not a prime number, then $x$ is odd

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2

2018 · Mathematics · Algebra · Mathematical Reasoning

KCET 2018

$P  (n): 2^{2 n}-1$ is divisible by $k$ for all $n \in N^{\prime \prime}$ is true, then the value of ' $k$ ' is

A

6

B

3

C

7

D

2

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3

2018 · Mathematics · Algebra · Mathematical Reasoning

KCET 2018

The negation of the statement " 72 is divisible by 2 and $3^{\prime \prime}$ is

A

72 is not divisible by 2 or 72 is not divisible by 3

B

72 is divisible by 2 or 72 is divisible by 3

C

72 is divisible by 2 and 72 divisible by 3

D

72 is not divisible by 2 and 3

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4

2019 · Mathematics · Algebra · Mathematical Reasoning

KCET 2019

The negative of the statement "All continuous functions are differentiable."

A

Some continuous functions are not differentiable

B

All continuous functions are not differentiable

C

All differentiable function are continuous

D

Some continuous function are differentiable

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5

2020 · Mathematics · Algebra · Mathematical Reasoning

KCET 2020

If \(P(n): 2^n< n !\) Then the smallest positive integer for which \(P(n)\) is true if

A

2

B

3

C

4

D

5

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6

2020 · Mathematics · Algebra · Mathematical Reasoning

KCET 2020

The negation of the statement "For all real numbers \(x\) and \(y, x+y=y+x^{\prime \prime}\) is

A

For all real numbers \(x\) and \(y, x+y \neq y+x\)

B

For some real numbers \(x\) and \(y, x+y=y+x\)

C

For some real numbers \(x\) and \(y, x+y \neq y+x\)

D

For some real numbers \(x\) and \(y, x-y=y-x\)

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7

2023 · Mathematics · Algebra · Mathematical Reasoning

KCET 2023

The contrapositive of the statement.

"If two lines do not intersect in the same plane, then they are parallel." is

A

If two lines are parallel, then they intersect in the same plane.

B

If two lines are not parallel, then they do not intersect in the same plane.

C

If two lines are parallel, then they do not intersect in the same plane.

D

If two lines are not parallel, then they intersect in the same plane.

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8

2024 · Mathematics · Algebra · Mathematical Reasoning

KCET 2024

The negation of the statement "For every real number $x ; x^2+5$ is positive" is

A

For every real number $x ; x^2+5$ is not positive.

B

For every real number $x ; x^2+5$ is negative.

C

There exists atleast one real number $x$, such that $x^2+5$ is not positive.

D

There exists atleast one real number $x$, such that $x^2+5$ is positive.

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9

2026 · Mathematics · Algebra · Mathematical Reasoning

KCET 2026

The solution of $3(x - 1) \leq 2(x - 3)$ is

A

$x \leq -3$

B

$x \geq -3$

C

$x \leq 3$

D

$x \geq 3$

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