Due to which of the following, the irregular variations in a time series are caused: (A) Floods (B) Rise in prices before festivals (C) A fire in a factory (D) Epidemics Choose the **correct** answer from the options given below:

Due to which of the following, the… - CUET UG 2025 Mathematics PYQ

CUET UG 2025 — Mathematics Statistics & Applications

2025mcqmedium

Due to which of the following, the irregular variations in a time series are caused:

(A) Floods

(B) Rise in prices before festivals

(D) Epidemics

Choose the correct answer from the options given below:

Official previous-year question

Held on 14 May 2025 · Verified 13 Jul 2026.

Options

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

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Solution

For a 2×2 matrix $\left|\begin{matrix} a & b \\ c & d \end{matrix}\right|$ , the determinant is:

$ad - bc$

Calculate the left side determinant:

$\left|\begin{matrix} x & 8 \\ 4 & x \end{matrix}\right|$

$= x \times x - 8 \times 4$

$= x^2 - 32$

Calculate the right side determinant:

$\left|\begin{matrix} 6 & 2 \\ 18 & 6 \end{matrix}\right|$

$= 6 \times 6 - 2 \times 18$

$= 36 - 36$

$= 0$

Since the determinants are equal:

$x^2 - 32 = 0$

$x^2 = 32$

$x = \pm\sqrt{32}$

Simplify $\sqrt{32}$ :

$\sqrt{32} = \sqrt{16 \times 2}$

$= \sqrt{16} \times \sqrt{2}$

$= 4\sqrt{2}$

Therefore, $x = \pm 4\sqrt{2}$

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