Which of the following statements are correct about the Compound Annual Growth… - CUET UG 2025 Mathematics PYQ

CUET UG 2025 — Mathematics Statistics & Applications

2025mcqmedium

Which of the following statements are correct about the Compound Annual Growth Rate (CAGR)?

(A) It can be used to compare historical returns on different investment portfolios.

(B) It helps smooth returns when growth rates are expected to be volatile and inconsistent.

(C) It is unable to track the performance of various business measures of one or multiple companies alongside one another.

(D) It can be used to calculate the average growth of a single investment.

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

Did you get this right?

Solution

Given $|\vec{a}| = 2$ , $|\vec{b}| = 3$ , and $\vec{a} \cdot \vec{b} = 4$

For any two vectors, the magnitude of their difference is:

$|\vec{a} - \vec{b}|^2 = |\vec{a}|^2 + |\vec{b}|^2 - 2(\vec{a} \cdot \vec{b})$

Substituting the given values:

$|\vec{a} - \vec{b}|^2 = (2)^2 + (3)^2 - 2(4)$

$|\vec{a} - \vec{b}|^2 = 4 + 9 - 8$

$|\vec{a} - \vec{b}|^2 = 5$

Taking the square root:

$|\vec{a} - \vec{b}| = \sqrt{5}$

Therefore, $|\vec{a} - \vec{b}| = \sqrt{5}$

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