CUET · MATHS · PYQ PAPER 2025
A fisherman is rowing a boat. He takes 6 hours to row 48 km upstream whereas he takes 3 hours to go to the same distance downstream.
Based on the above information, which of the following are correct?
(A) His speed of rowing in still water is 10 km/hour.
(B) The speed of the stream is 3 km/hour.
(C) The average speed of the fisherman is 32/3 km/hour.
(D) The speed of the stream is 4 km/hour.
Choose the correct answer from the options given below :
- A (A) and (D) only
- B (C) and (D) only
- C (A), (B) and (C) only
- D (A) and (C) only
Answer & Solution
Correct Answer
(B) (C) and (D) only
Step-by-step Solution
Detailed explanation
\( \text{Upstream speed } (s-c) = \frac{48 \text{ km}}{6 \text{ hours}} = 8 \text{ km/hour} \) \( \text{Downstream speed } (s+c) = \frac{48 \text{ km}}{3 \text{ hours}} = 16 \text{ km/hour} \) \( s = \frac{(s-c)+(s+c)}{2} = \frac{8+16}{2} = 12 \text{ km/hour} \)…
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
- \(\tan ^{-1} 3+\tan ^{-1} \lambda=\tan ^{-1}\left(\frac{3+\lambda}{1-3 \lambda}\right)\) is valid for which values of \(\lambda\) ?CUET 2023 Medium
- Consider the following hypothesis test:
\(\begin{aligned} & H_0: \mu=20 \\ & H_a: \mu \neq 20\end{aligned}\)
A sample of 40 provided a sample mean of 19. The standard deviation is 3. Then the value of the t-test statistic is:CUET 2025 Easy - If the slope of the tangent to the curve \(y=y(x)\) at any point \((x, y)\) is \(\frac{2 x}{y^2}\) and the curve passes through the point \(\left(\frac{1}{\sqrt{3}}, 1\right)\), then the equation of the curve is :CUET 2025 Hard
- The derivative of \((\log x)^x\) with respect to log \(x\) is:CUET 2025 Hard
- If the relation \(R: A \rightarrow B\), where \(A=\{2,3,4\}\) and \(B=\{3,4,5\}\) is defined by \(R=\{(x, y): x < y, x \in A, y \in B\}\), thenCUET 2023 Easy
- Given that at x = 1, the function \(x^4-62 x^2+a x+90\) attains its maximum value on the interval [0, 2], the value of a is:CUET 2023 Medium
More PYQs from CUET
- Which of the following in NOT true for Bt toxin ?
(A) It is produced by Bacillus thuringiensis
(B) It is produced in active form
(C) It exist as inactive protoxin
(D) It is used to produce nematode-resistant plants
Choose the correct answer from the options given below :CUET 2023 Medium - A pair of adjacent coils has a mutual inductance of 2.0 H. If the current in one coil changes from 0 to 10 A in 0.5 s, the change of the flux linkage with the other coil isCUET 2025 Easy
- Equal currents are flowing in four infinitely long wires. The distance between each other is the same and directions of currents are as shown in the figure. The net force on wire 2 is

Choose the correct answer from the options given below:CUET 2025 Easy - A unit vector perpendicular to the vectors \(\hat{i}-\hat{j}\) and \(\hat{i}+\hat{j}\) isCUET 2025 Medium
- Velocity of light in diamond, glass and water decreases in the following order :CUET 2023 Medium
- In the expression of Gauss's Law.
\( \oint \vec{E} \cdot d\vec{s} = \frac{q}{\epsilon_0} \)
(A) The electric field on LHS is only due to the charges inside the Gaussian surface.
(B) The electric field on LHS is due to charges inside and outside the Gaussian surface.
(C) The electric charge on RHS represents all the charges inside and outside the Gaussian surface.
(D) The electric charges on RHS represent only the charges outside the Gaussian surface.CUET 2023 Hard