Relations practice · Hard

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

1 Hard

1 of 2

Understanding +4 | -1

Which of the following is not an equivalence relation in

\mathrm{Z}

View answer and explanation

Correct option: C

a \mathrm{R} b \Leftrightarrow a < b

Option D (

p+q=8

) is correct because the order of the differential equation is 2 and the degree is 6 after removing the fractional power, so their sum is 8.

2 Hard

2 of 2

Understanding +4 | -1

R \subseteq A \times B

and

S \subseteq B \times C

be two relations, then

(S \circ R)^{-1}

is equal to

View answer and explanation

Correct option: C

R^{-1} \circ S^{-1}

Option C (

R^{-1} \circ S^{-1}

) is correct because the inverse of the composition of two relations is the composition of their inverses in reverse order.

Revision notes and key takeaways

Review RELATIONS in your textbook or class notes, then use this set to check your understanding.

Key Takeaways

✓ This set contains 2 single-correct-answer MCQs on RELATIONS.
✓ Try each question before opening its answer. Read the explanation where one is available.
✓ Sign in to save submitted answers. Revisit incorrect answers alongside your textbook or class notes.

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