Rahul invested ₹ 20000 in a mutual fund… - CUET UG 2025 Mathematics PYQ

CUET UG 2025 — Mathematics Statistics & Applications

2025mcqmedium

Rahul invested ₹ 20000 in a mutual fund in year 2018. If the value of mutual fund increased to ₹ 32000 in year 2023. Then the compound annual growth rate of his investment is: $[given \, that(1.6)^{1/5} = 1.098]$

Official previous-year question

Held on 22 May 2025 · Verified 13 Jul 2026.

Options

A
10.5%
B
9.4%
C
9.8%
D
8.8%

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Solution

The curve $y = |x - 2|$ is V-shaped with vertex at $(2, 0)$ .

When $x \geq 2$ : $y = x - 2$

When $x < 2$ : $y = 2 - x$

To find intersection points, solve $|x - 2| = 2$ :

For $x \geq 2$ :

$x - 2 = 2$

$x = 4$

For $x < 2$ :

$2 - x = 2$

$x = 0$

Intersection points are $(0, 2)$ and $(4, 2)$ .

The bounded region forms a triangle with:

Vertices at $(0, 2)$ , $(4, 2)$ , and $(2, 0)$
Base = $4 - 0 = 4$ units
Height = $2 - 0 = 2$ units

Area $= \dfrac{1}{2} \times \text{base} \times \text{height}$

Area $= \dfrac{1}{2} \times 4 \times 2$

Area $= 4$

Therefore, the area of the bounded region is $4$ square units.

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