On which of the following components,… - CUET UG 2025 Mathematics PYQ

CUET UG 2025 — Mathematics Statistics & Applications

2025mcqmedium

On which of the following components, the pattern and behavior of the data in any time series is based?

(A). Secular trend component

(B). Seasonal component

(C). Cyclical component

(D). Regular component

Choose the correct answer from the options given below:

Official previous-year question

Held on 13 May 2025 · Verified 13 Jul 2026.

Options

A
(A), (B) and (D) only
B
(A), (B) and (C) only
C
(A), (B), (C) and (D)
D
(C) and (D) only

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Solution

Given that A and B are square matrices of order 3 with $|A| = 3$ and $|B| = -1$ .

When multiplying a matrix by a scalar $k$ , the determinant becomes:

$|kM| = k^n \times |M|$

where $n$ is the order of the matrix.

For a matrix of order 3:

$|3AB| = 3^3 \times |AB|$

$|3AB| = 27 \times |AB|$

The determinant of a product of matrices is:

$|AB| = |A| \times |B|$

Substituting the given values:

$|AB| = 3 \times (-1)$

$|AB| = -3$

Combining the results:

$|3AB| = 27 \times |AB|$

$|3AB| = 27 \times (-3)$

$|3AB| = -81$

Therefore, $|3AB| = -81$ .

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