A T.V. panel costing Rs 18000 has a… - CUET UG 2025 Mathematics PYQ

CUET UG 2025 — Mathematics Statistics & Applications

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A T.V. panel costing Rs 18000 has a useful life of 12 years. If the annual depreciation is Rs 1000, then its scrap value by linear method is:

Official previous-year question

Held on 15 May 2025 · Verified 13 Jul 2026.

Options

A
Rs. 8000
B
Rs. 6000
C
Rs. 5000
D
Rs. 7500

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Solution

Given:

$\vec{a} = 3\hat{i} - p\hat{j} + 5\hat{k}$

$\vec{b} = -6\hat{i} + 14\hat{j} + q\hat{k}$

The vectors are collinear.

For collinear vectors, $\vec{b} = k\vec{a}$ where $k$ is a constant.

Using the $\hat{i}$ component:

$-6 = k \times 3$

$k = \frac{-6}{3}$

$k = -2$

Using the $\hat{j}$ component:

$14 = k \times (-p)$

$14 = (-2) \times (-p)$

$14 = 2p$

$p = \frac{14}{2}$

$p = 7$

Using the $\hat{k}$ component:

$q = k \times 5$

$q = (-2) \times 5$

$q = -10$

Therefore, $p = 7$ and $q = -10$ .

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