MHT-CET

Sets and Relations question bank (Mathematics)

Practice 15 free MHT-CET Mathematics - Sets and Relations questions with answers and step-by-step solutions.

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Q1.

Let $S$ be a non-empty subset of $\mathbb{R}$. Consider the following statement: p : There is a rational number $x \in \mathrm{~S}$ such that $x\gt0$. Which of the following statements is the negation of the statement p?

(A)

There is a rational number $x \in \mathrm{~S}$ such that $x \leq 0$.

(B)

There is no rational number $x \in \mathrm{~S}$ such that $x \leq 0$.

(C)

Every rational number $x \in \mathrm{~S}$ satisfies $x \leq 0$.

(D)

$x \in \mathrm{~S}$ and $x \leq 0 \Rightarrow x$ is not a rational number.

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Q2.

The chances to fail in Physics are $20 \%$ and the chances to fail in Mathematics are $10 \% .$ What are the chances to fail in at least one subject?

(A)

$28 \%$

(B)

$38 \%$

(C)

$72 \%$

(D)

$82 \%$

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