CUET · MATHS · PYQ PAPER 2025

Pipe A can fill a tank in 24 hours and pipe B in 32 hours. If both the pipes are opened in an empty tank at the same time, then the time taken to fill the tank is:

A \(13 \frac{3}{7}\) hours
B \(13 \frac{2}{7}\) hours
C \(13 \frac{5}{7}\) hours
D \(13 \frac{1}{7}\) hours

Verified Solution

Answer & Solution

Correct Answer

(C) \(13 \frac{5}{7}\) hours

Step-by-step Solution

Detailed explanation

Combined rate: \( \frac{1}{24} + \frac{1}{32} = \frac{4+3}{96} = \frac{7}{96} \) tank/hour. Time to fill: \( \frac{1}{\frac{7}{96}} = \frac{96}{7} = 13 \frac{5}{7} \) hours.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

If the equation of a floor of a room is given by \(x+y-z+4=0\) and the equation of roof is given by \(x+y-z+5=0\). Then, the height of the room is :

CUET 2023 Medium

Match List-l with List-ll

List-I	List-II
(A) The measurable characteristic of a population is called	(I) sample
(B) The measurable characteristics of a sample is called	(II) Alternative hypothesis
(C) A smaller group of a population selected to represent a population is caller	(III) Parameter
(D) The assumption made opposite to the null hypothesis is called	(IV) statistic

Choose the correct answer from the options given below:

CUET 2025 Easy

If \(\mathbb{Z}\) and \(\mathbb{R}\) set of integers and set of real numbers respectively, then match List I with List II.

List - I	List - II
(A) \(5 x-3<3 x+1, x \in \mathbb{Z}\)	(I) \(x \in(-\infty,-3)\)
(B) \(3 x+17 \leq 2(1-x), x \in \mathbb{R}\)	(II) \(x \in(-\infty,-1)\)
(C) \(13 x+17<2(1-x), x \in \mathbb{R}\)	(III) \(\{\ldots,-4,-3, \ldots, 0,1\}\)
(D) \(\frac{2 x+3}{5}-2>\frac{3(x-2)}{5}, x \in \mathbb{Z}\)	(IV) \(\{\ldots,-4,-3,-2\}\)

Choose the correct answer from the options given below:

CUET 2025 Easy

Explore more questions on app

From CUET

Explore more questions on app

x	0	1	2	3
\(P ( x )\)	\(\frac{k}{3}\)	\(\frac{k}{2}\)	\(\frac{k}{4}\)	\(\frac{k}{7}\)

List - l	List - II
(A) Colostrum	(l) T-lymphocyte
(B) Histamine	(II) Preformed antibodies
(C) Passive immunisation	(III) Yellowish fluid
(D) Cell-mediated immunity	(IV) Mast cell