IGDTUW 2025 — Reasoning PYQ

Q: How do I solve IGDTUW 2025 Reasoning questions?

Practice IGDTUW 2025 Reasoning 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 IGDTUW Reasoning questions?

IGDTUW Reasoning 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 IGDTUW previous year papers available for free?

Yes. Mathem Solvex provides free access to IGDTUW 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

IGDTUW 2025 — Reasoning PYQ

IGDTUW | Reasoning | 2025

A takes twice as much time as B, or thrice as much time as C to finish a piece of work. Working together they can finish the work in 2 days. B can do the work alone in:

Choose the correct answer:

Explanation

Step 1: Express the time taken by each person

Let $T_{B}$ be the time taken by B to finish the work.

According to the problem:

$T_{A} = 2 T_{B}$
$T_{A} = 3 T_{C} ⟹ T_{C} = \frac{T _{A}}{3} = \frac{2 T _{B}}{3}$

Step 2: Determine individual work rates

The work rate is the reciprocal of the time taken. If the total work is 1 unit:

Work rate of A ( $R_{A}$ ) = $\frac{1}{2 T _{B}}$
Work rate of B ( $R_{B}$ ) = $\frac{1}{T _{B}}$
Work rate of C ( $R_{C}$ ) = $\frac{1}{\frac{2 T _{B}}{3}} = \frac{3}{2 T _{B}}$

Step 3: Combine their work rates

When working together, their combined work rate is the sum of their individual rates. They finish the work in 2 days, so their combined rate is $\frac{1}{2}$ :

$R_{A} + R_{B} + R_{C} = \frac{1}{2}$

$\frac{1}{2 T _{B}} + \frac{1}{T _{B}} + \frac{3}{2 T _{B}} = \frac{1}{2}$

Step 4: Solve for $T_{B}$

Find a common denominator for the left side:

$\frac{1 + 2 + 3}{2 T _{B}} = \frac{1}{2}$

$\frac{6}{2 T _{B}} = \frac{1}{2}$

$\frac{3}{T _{B}} = \frac{1}{2}$

$T_{B} = 6$

Conclusion:

B can finish the work alone in 6 days. Therefore, the correct option is (b).