CUET · MATHS · PYQ PAPER 2025
A boat covers 32 km upstream and 36 km downstream in 7 hours.
Also, it covers 40 km upstream and 48 km downstream in 9 hours.
The speed of the boat in still water is :
- A 12 km/hr
- B 8 km/hr
- C 9 km/hr
- D 10 km/hr
Answer & Solution
Correct Answer
(D) 10 km/hr
Step-by-step Solution
Detailed explanation
Let \( \text{speed upstream} = u-v \) and \( \text{speed downstream} = u+v \). \( \frac{32}{u-v} + \frac{36}{u+v} = 7 \) \( \frac{40}{u-v} + \frac{48}{u+v} = 9 \) Let \( x = \frac{1}{u-v} \) and \( y = \frac{1}{u+v} \). \( 32x + 36y = 7 \) (1) \( 40x + 48y = 9 \) (2) Multiply…
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
- In a linear programming problem, the constraints on decision variables x and y are \(y-2 x \leq 0, y \geq 0,0 \leq x \leq 5\). The feasible region of the above problem :CUET 2025 Hard
- Two pipes A and B can fill a tank in 5 hours and 6 hours respectively. Pipe C can empty the tank in 12 hours. If all three pipes are opened together, find the time taken to fill the tankCUET 2025 Hard
- For \(x \in(0,1)\), the derivative of \(\sin ^{-1} x\) with respect to \(\cos ^{-1} \sqrt{1-x^2}\) is:CUET 2023 Easy
- According to the graph drawn here, identify the constraints of the associated linear programming problem :
CUET 2023 Hard - If the cost function of a product is given by \(C(x)=\frac{3}{4} x^2-5 x+21\), then the marginal cost when \(x=10\) isCUET 2025 Hard
- The co-ordinates of the point at which the line \(\frac{x-3}{3}=\frac{y+1}{2}=\frac{z-4}{-2}\) crosses \(x y\) plane, areCUET 2025 Medium
More PYQs from CUET
- Let \(*: R \times R \rightarrow R\) be defined by \(a * b=a+2 b\). Then \(*\) is:CUET 2023 Easy
- A piece of silver and another of silicon are cooled from 15 ℃ to 3 ℃. What will be the effect on resistance of each?CUET 2025 Medium
- Two events A and B are independent, if
(A) A and B are mutually exclusive
(B) \(P\left(A^{\prime} \cap B^{\prime}\right)=[1-P(A)][1-P(B)]\)
(C) \(P\left(A^{\prime}\right)=P\left(B^{\prime}\right)\)
(D) P(A) + P(B) = 1
(E) P(A) = P(B)CUET 2023 Easy - If the function \(f(x)=x^4-62 x^2+a x+9\) attains its local maximum value at \(x=1\), then \(a\) is equal to :CUET 2023 Hard
- The magnetic moment of \(Cu ^{2+}\) ion \(( Z =29)\) is :CUET 2023 Hard
- There are two metallic spheres A and B having radii equal to R and 2R respectively. A charge Q is distributed on these two spheres such that the two spheres have equal surface charge densities. The ratio of charge on A to charge on B is :CUET 2023 Easy