CUET UG 2025 — Mathematics Arithmetic

2025mcqmedium

500 g of jaggery syrup has 30% jaggery in it. The quantity of jaggery that should be added to make it 50% of syrup is:

Official previous-year question

Held on 30 May 2025 · Verified 13 Jul 2026.

Options

A
200 g
B
750 g
C
500 g
D
250 g

Did you get this right?

Solution

Given $P(A) = 0.2$ , $P(B) = 0.4$ , $P(B|A) = 0.5$

Using the conditional probability formula:

$P(B|A) = \dfrac{P(A \cap B)}{P(A)}$

$P(A \cap B) = P(B|A) \times P(A)$

$= 0.5 \times 0.2$

$= 0.1$

$\Rightarrow$ Matches (IV)

$P(A|B) = \dfrac{P(A \cap B)}{P(B)}$

$= \dfrac{0.1}{0.4}$

$= 0.25$

$\Rightarrow$ Matches (III)

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$= 0.2 + 0.4 - 0.1$

$= 0.5$

$\Rightarrow$ Matches (I)

$P(A') = 1 - P(A)$

$= 1 - 0.2$

$= 0.8$

$\Rightarrow$ Matches (II)

List-I	Value	List-II
(A) $P(A \cap B)$	$0.1$	(IV)
(B) $P(A\|B)$	$0.25$	(III)
(C) $P(A \cup B)$	$0.5$	(I)
(D) $P(A')$	$0.8$	(II)

Correct Answer: (A)-(IV), (B)-(III), (C)-(I), (D)-(II)

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Solution

Given $P(A) = 0.2$ , $P(B) = 0.4$ , $P(B|A) = 0.5$

Using the conditional probability formula:

$P(B|A) = \dfrac{P(A \cap B)}{P(A)}$

$P(A \cap B) = P(B|A) \times P(A)$

$= 0.5 \times 0.2$

$= 0.1$

$\Rightarrow$ Matches (IV)

$P(A|B) = \dfrac{P(A \cap B)}{P(B)}$

$= \dfrac{0.1}{0.4}$

$= 0.25$

$\Rightarrow$ Matches (III)

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$= 0.2 + 0.4 - 0.1$

$= 0.5$

$\Rightarrow$ Matches (I)

$P(A') = 1 - P(A)$

$= 1 - 0.2$

$= 0.8$

$\Rightarrow$ Matches (II)

List-I	Value	List-II
(A) $P(A \cap B)$	$0.1$	(IV)
(B) $P(A\|B)$	$0.25$	(III)
(C) $P(A \cup B)$	$0.5$	(I)
(D) $P(A')$	$0.8$	(II)

Correct Answer: (A)-(IV), (B)-(III), (C)-(I), (D)-(II)

CUET UG 2025 — Mathematics Arithmetic

Options

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Solution

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CUET UG 2025 — Mathematics Arithmetic

Options

Did you get this right?

Solution

Your note

CUET UG Arithmetic in other years

More CUET UG Arithmetic questions

Other Mathematics topics for CUET UG

Algebra

Calculus

Applied-Mathematics

Statistics & Applications

Geometry

Coordinate Geometry

Keep practicing Arithmetic