CUET · MATHS · PYQ PAPER 2025
Pipe A can fill the tank 3 times faster than pipe B. If both pipes A and B running together can fill the tank in 15 minutes, then the time taken by pipe B alone to fill the tank is :
- A 42 minutes
- B 72 minutes
- C 60 minutes
- D 48 minutes
Answer & Solution
Correct Answer
(C) 60 minutes
Step-by-step Solution
Detailed explanation
Let \(t_A\) and \(t_B\) be the times taken by pipe A and B respectively. \(t_A = \frac{t_B}{3}\) \(\frac{1}{t_A} + \frac{1}{t_B} = \frac{1}{15}\) \(\frac{3}{t_B} + \frac{1}{t_B} = \frac{1}{15}\) \(\frac{4}{t_B} = \frac{1}{15}\) \(t_B = 4 \times 15 = 60\) minutes
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from MATHS
- \(\int\left(\frac{1+x+x^2}{1+x^2}\right) e^{\tan ^{-1} x} d x=\)CUET 2023 Medium
- The area enclosed by the ellipse \(\frac{x^2}{9^2}+\frac{y^2}{6^2}=1\) is :CUET 2023 Easy
- Approximate percentage increase in the volume of a sphere if its radius is increased by \(3 \%\) is:CUET 2023 Hard
- Let the corner points of the bounded feasible region of the linear programming problem \(( LPP ) Z=a x+b y\) be \((0,0),(2,0),\left(\frac{20}{19}, \frac{45}{19}\right)\) and \((0,3)\).
If the optimal value of \(Z\) occurs at both points \((2,0)\) and \(\left(\frac{20}{19}, \frac{45}{19}\right)\), then the relation between \(a\) and \(b\) is:CUET 2025 Easy - The edge of a cube is increasing at a rate of 7 cm/s. The rate of change of area of the cube when its side is 3 cm is:CUET 2025 Medium
- Consider a random sample of 10 students having 116 cm as mean height and standard deviation as 9.798 cm .
If the suggested mean height of the students population is 110 cm , then the \(t\)-test statistic of the sample is :
Given: \(\frac{\sqrt{10}}{9.798}=0.3227\)CUET 2025 Medium
More PYQs from CUET
- Which of the following does not affects genetic equilibrium/Hardy Weinberg EquilibriumCUET 2023 Easy
- The liquid which causes formation of poisonous gas when exposed to sunlight in presence of air or oxygen (\(\text{O}_2\)), is:CUET 2023 Medium
- Select the intra uterine devices from the following:
(A) Multiload 375
(B) Saheli
(C) Cervical caps
(D) Progestasert
Choose the correct answer from the options given below:CUET 2025 Hard - Steps to produce transgenic animals are given below. Arrange them in a correct sequence
(A) Selection of proper vector
(B) Introduction of a recombinant vector in host animal cell
(C) Combining of desired gene with the vector using ligase enzymes
(D) Identification and isolation of desired gene
Choose the correct answer from the options given below:CUET 2023 Easy - A plane E-M wave of frequency 48 MHz travels in free space along the positive x-direction. At a particular point in space and time \( \vec{E} = 10.2\hat{j} \text{ V/m} \). The corresponding magnetic field \( \vec{B} \) at that point will be:CUET 2023 Medium
- Two long current carrying conductors separated by a distance 'r' carrying equal currents in the same direction exert a force 'F' per unit length on each other. Now current in one of them is reversed, and distance between them is made twice the original distance. The force per unit length will become:CUET 2023 Hard