CBSE Past Year MCQ Quiz

Question 1 of 3

CBSE Board Exam 2024

Let \(\mathrm{A}=\left[\begin{array}{ll}\mathrm{a} & \mathrm{b} \\ \mathrm{c} & \mathrm{d}\end{array}\right]\) be a square matrix such that adj \(\mathrm{A}=\mathrm{A}\). Then, \((\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d})\) is equal to :

A 2a B 2b C 2c D 0

Select one option. Answers are shown after the test.

Question 2 of 3

CBSE Board Exam 2026

If \(\mathrm{A}(\operatorname{adj} \mathrm{A})=\left[\begin{array}{ccc}2026 & 0 & 0 \\ 0 & 2026 & 0 \\ 0 & 0 & 2026\end{array}\right]\), then the value of \(|\operatorname{adj} \mathrm{A}|\) is equal to :

A 2026 B \((2026)^{-1}\) C \((2026)^{-2}\) D \((2026)^{2}\)

Select one option. Answers are shown after the test.

Question 3 of 3

CBSE Board Exam 2024

If \(A=\left[\begin{array}{lll}2 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 5\end{array}\right]\), then \(A^{-1}\) is :

A \(\left[\begin{array}{ccc}\frac{1}{2} & 0 & 0 \\ 0 & \frac{1}{3} & 0 \\ 0 & 0 & \frac{1}{5}\end{array}\right]\) B \(\quad 30\left[\begin{array}{ccc}\frac{1}{2} & 0 & 0 \\ 0 & \frac{1}{3} & 0 \\ 0 & 0 & \frac{1}{5}\end{array}\right]\) C \(\frac{1}{30}\left[\begin{array}{lll}2 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 5\end{array}\right]\) D \(\frac{1}{30}\left[\begin{array}{ccc}\frac{1}{2} & 0 & 0 \\ 0 & \frac{1}{3} & 0 \\ 0 & 0 & \frac{1}{5}\end{array}\right]\)

Select one option. Answers are shown after the test.

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