CUET · MATHS · PYQ PAPER 2025
In a 900 meters race, Ram gives Shyam a start of 150 meters and defeats him by 50 seconds. If the speed of Ram is 4.5 m/sec, then the speed of Shyam is
- A 3.5 m/sec
- B 2 m/sec
- C 3 m/sec
- D 4.5 m/sec
Answer & Solution
Correct Answer
(C) 3 m/sec
Step-by-step Solution
Detailed explanation
\( t_{\text{Ram}} = \frac{900 \text{ m}}{4.5 \text{ m/sec}} = 200 \text{ sec} \) \( D_{\text{Shyam}} = 900 \text{ m} - 150 \text{ m} = 750 \text{ m} \) \( t_{\text{Shyam}} = t_{\text{Ram}} + 50 \text{ sec} = 200 \text{ sec} + 50 \text{ sec} = 250 \text{ sec} \)…
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
- For the function \(f(x)=x^{1 / x}, x>0\), which of the following are correct?
(A) \(x=0\) is the only point where extremum may occur.
(B) The given function is maximum at \(x=e\).
(C) The function has no extreme value for \(x>0\).
(D) The maximum value of the function \(f(x)\) is \(e^{1 / e}\)
Choose the correct answer from the options given below :CUET 2025 Easy - If \(\vec{a}=\hat{i}+2 \hat{j}+2 \hat{k},|\vec{b}|=5\) and the angle between \(\vec{a}\) and \(\vec{b}\) is \(\frac{\pi}{6}\), then the area of the triangle formed by these two vectors as two sides is :CUET 2023 Easy
- The value of determinant \(\left|\begin{array}{lll}a-b & b-c & c-a \\ b-c & c-a & a-b \\ c-a & a-b & b-c\end{array}\right|\) is :CUET 2023 Easy
- \(A=\left[\begin{array}{lll}0 & 1 & 3 \\ 1 & 2 & x \\ 2 & 3 & 1\end{array}\right]\)
\(A^{-1}=\left[\begin{array}{ccc}\frac{1}{2} & -4 & \frac{5}{2} \\ -\frac{1}{2} & 3 & -\frac{3}{2} \\ \frac{1}{2} & y & \frac{1}{2}\end{array}\right]\)
Find the value of \(8 x+5 y\)CUET 2025 Medium - The projection of the vector \(\vec{a}=2 \hat{i}+3 \hat{j}+2 \hat{k}\) on the vector \(\vec{b}=\hat{i}+2 \hat{j}+\hat{k}\) is:CUET 2023 Easy
- \(\int \frac{d x}{9 x^2-16}\) is equal to:CUET 2025 Easy
More PYQs from CUET
- The figure shows an arrangement of bar magnets in different configurations. Each bar magnet has a magnetic dipole moment m. The figure which has the maximum magnetic dipole moment _______ .

CUET 2025 Medium - The following data is available for two independent samples:
SAMPLE-1 SAMPLE-2 sample size 8 10 sample mean 191 199 sample standard deviation 10 12 CUET 2023 Easy - \(x\) speaks truth in \(60 \%\) and \(y\) in \(50 \%\) of the cases.
The probability that they contradict each other while narrating the same fact is:CUET 2023 Medium - Mammals are able to survive in Antarctica or in the Sahara desert as they areCUET 2023 Easy
- In a linear programming problem, the linear constraints are as follows :
\(x-3 y \geq 0, y \geq 0,0 \leq x \leq 6 \)
where \(z=x+2 y\)
Which of the following statement/s is/are correct ?
(A) The feasible region is not the first quadrant
(B) The feasible region is unbounded in the first quadrant
(C) The feasible region is bounded in the first quadrant
(D) The feasible region is a triangular region
(E) The maximum value of \(z\) is 10
Choose the correct answer from the options given below :CUET 2023 Easy - The function \(f(x)=\left\{\begin{array}{ll}\frac{x^2+2 x-3}{x-1} & x \neq 1 \\ 2 & x=1\end{array}\right.\) is :CUET 2023 Hard