NIMCET 2011 — Mathematics PYQ

Q: How do I solve NIMCET 2011 Mathematics questions?

Practice NIMCET 2011 Mathematics previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

Q: What is the difficulty level of NIMCET Mathematics questions?

NIMCET Mathematics questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Q: Are NIMCET previous year papers available for free?

Yes. Mathem Solvex provides free access to NIMCET previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

Question

NIMCET 2011 — Mathematics PYQ

NIMCET | Mathematics | 2011

A car completes the first half of its journey with a velocity $v_1$ and the rest half with a velocity $v_2$ . Then, the average velocity of the car for the whole journey is:

Choose the correct answer:

Explanation

1. Time taken for the first half:

t_1 = \frac{s}{v_1}

2. Time taken for the second half:

t_2 = \frac{s}{v_2}

3. Total time taken ( $T$ ):

T = t_1 + t_2 = \frac{s}{v_1} + \frac{s}{v_2}

T = s \left( \frac{v_1 + v_2}{v_1 v_2} \right)

4. Average Velocity ( $v_{avg}$ ):

v_{avg} = \frac{\text{Total Distance}}{\text{Total Time}}

v_{avg} = \frac{2s}{s \left( \frac{v_1 + v_2}{v_1 v_2} \right)}

v_{avg} = \frac{2v_1 v_2}{v_1 + v_2}

Correct Option: (c) $\frac{2v_1 v_2}{v_1 + v_2}$