CUET · MATHS · PYQ PAPER 2025

Let \(A=\left[a_{i j}\right]\) be a square matrix of order 3 with each entry either 0 or 1 .
Then the number of all such possible matrices is :

A 256
B 81
C 243
D 512

Verified Solution

Answer & Solution

Correct Answer

(D) 512

Step-by-step Solution

Detailed explanation

Number of entries in a 3x3 matrix = \(3 \times 3 = 9\) Each entry has 2 choices (0 or 1). Total number of possible matrices = \(2^9 = 512\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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(A) POPULATION	(I) Measurable characteristics of the population such as mean, variance, standard deviation etc. of population
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Let \(A=\left[a_{i j}\right]\) be a square matrix of order 3 with each entry either 0 or 1 .Then the number of all such possible matrices is :

Step-by-step Solution

Let \(A=\left[a_{i j}\right]\) be a square matrix of order 3 with each entry either 0 or 1 .
Then the number of all such possible matrices is :