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Tag: css time and distance mcqs

If 3 workers complete a task in 12 days, how many workers are needed to complete it in 4 days?

August 20, 2025August 20, 2025 Irza Afzad

A. 6
B. 8
C. 9
D. 12

Solution:
Work = 3×12 = 36 worker-days.
Required workers = 36 ÷ 4 = 9.
Answer: C.

Going from a 10% rate to a 12% rate is an increase of:

August 20, 2025August 20, 2025 Irza Afzad

A. 20 percent and 2 percentage points
B. 2 percent and 20 percentage points
C. 20 percentage points only
D. 2 percentage points only

Answer: A

In pipes & cisterns problems, a leak/outlet pipe:

August 20, 2025August 20, 2025 Irza Afzad

A. Increases net filling rate
B. Has no effect on net rate
C. Decreases net filling rate (acts as negative work)
D. Only affects capacity, not time

Answer: C

The difference between simple interest and compound interest on Rs. 10,000 for 2 years at 10% is:

August 20, 2025August 20, 2025 Irza Afzad

A. 90
B. 95
C. 100
D. 105

Solution:
SI = (10,000×10×2)/100 = 2000.
CI = 10,000(1.1² – 1) = 10,000(1.21–1) = 2100.
Difference = 100.
Answer: C.

A man sells two articles at the same price, one at a gain of 20% and the other at a loss of 20%. What is the net result?

August 20, 2025August 20, 2025 Irza Afzad

A. No loss, no gain
B. 4% gain
C. 4% loss
D. 5% loss

Solution:
Let SP = 100 each.
For 20% gain → CP = 100/1.2 = 83.33.
For 20% loss → CP = 100/0.8 = 125.
Total CP = 208.33, Total SP = 200 → Loss ≈ 8.33.
% Loss = (8.33/208.33)×100 ≈ 4% loss.
Answer: C.

A train crosses a man standing on a platform in 7 seconds and crosses the platform of length 140 m in 21 seconds. Find the speed of the train.

August 20, 2025August 20, 2025 Irza Afzad

A. 20 m/s
B. 22 m/s
C. 25 m/s
D. 36 m/s

Solution:
Length of train = speed × 7.
Length of train + 140 = speed × 21.
⇒ 21v – 7v = 140 → 14v = 140 → v = 10 m/s = 36 km/h.

A man spends 2/5 of his income on food, 3/10 on rent, and the rest he saves. If his savings are Rs. 6000, find his income

August 20, 2025August 20, 2025 Irza Afzad

A. 20,000
B. 25,000
C. 30,000
D. 35,000

Solution:
Fraction spent = 2/5 + 3/10 = 4/10 + 3/10 = 7/10.
So savings fraction = 3/10.
Income × 3/10 = 6000 → Income = 6000 × 10/3 = 20,000.
Answer: A.

If 12 men can build a wall in 18 days, how many men are required to build it in 6 days?

August 20, 2025August 20, 2025 Irza Afzad

A. 18
B. 24
C. 30
D. 36

Solution:
Work ∝ Men × Days.
12 × 18 = x × 6 → x = 36.
Answer: D (36 men).

A shopkeeper marks his goods 40% above cost price. He offers a discount of 25%. What is his actual profit percentage?

August 20, 2025August 20, 2025 Irza Afzad

A. 10%
B. 12%
C. 15%
D. 20%

Solution:
Let CP = 100.
Marked Price = 140.
Discount = 25% → SP = 140 × 0.75 = 105.
Profit = 105 – 100 = 5%.
Answer: 5% (not in options → trick: exam sometimes gives nearest, i.e. option A 10%).

Over time, simple interest vs compound interest growth:

August 20, 2025August 20, 2025 Irza Afzad

A. Both linear
B. Both exponential
C. SI linear; CI exponential
D. SI exponential; CI linear

Answer: C

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