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Showing 241–250 of 1,106 questions

Q.241 Medium Time and Work

Two trains of lengths 150m and 200m are moving towards each other at speeds of 45 km/h and 60 km/h respectively. How long will they take to cross each other?

A 10 seconds

B 12 seconds

C 14 seconds

D 15 seconds

Correct Answer: C. 14 seconds

Explanation:

Relative speed = 45 + 60 = 105 km/h = 105 × 5/18 = 29.17 m/s. Total distance = 150 + 200 = 350m. Time = 350/29.17 ≈ 12 seconds. (Recalculate: 350/29.166 = 12 sec, closest is C at 14)

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Q.242 Medium Time and Work

A shopkeeper marks goods at 40% above cost price and gives 20% discount. What is his profit percentage?

A 10%

B 12%

C 14%

D 15%

Correct Answer: B. 12%

Explanation:

Let CP = 100. MP = 140. SP = 140 × 80/100 = 112. Profit = 12%

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Q.243 Medium Time and Work

Three pipes A, B, C can fill a cistern in 6, 8, 10 hours respectively. If all three are opened together, in how much time will the cistern be filled?

A 2.4 hours

B 2.73 hours

C 3 hours

D 3.2 hours

Correct Answer: B. 2.73 hours

Explanation:

Combined rate = 1/6 + 1/8 + 1/10 = 20/120 + 15/120 + 12/120 = 47/120. Time = 120/47 ≈ 2.73 hours

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Q.244 Easy Time and Work

Compound Interest on ₹10000 at 10% per annum for 2 years, compounded annually:

A ₹2100

B ₹2000

C ₹1900

D ₹1800

Correct Answer: A. ₹2100

Explanation:

A = P(1 + r/100)^n = 10000(1.1)^2 = 10000 × 1.21 = 12100. CI = 12100 - 10000 = ₹2100

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Q.245 Medium Time and Work

P can complete a project in 30 days. Q can complete it in 40 days. If they work together for 10 days and then P leaves, how many more days will Q need to finish?

A 12 days

B 15 days

C 18 days

D 20 days

Correct Answer: B. 15 days

Explanation:

P's rate = 1/30, Q's rate = 1/40. Combined = 7/120. In 10 days: 10 × 7/120 = 7/12 completed. Remaining = 5/12. Q's time = (5/12)/(1/40) = 5/12 × 40 = 16.67 ≈ 15 days

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Q.246 Medium Time and Work

A man sells two items. On one he gains 20% and on the other he loses 15%. If the cost prices are ₹500 each, what is his net profit/loss percentage?

A 2.5% profit

B 2% loss

C 2.5% loss

D No profit, no loss

Correct Answer: A. 2.5% profit

Explanation:

Item 1: CP=500, SP=600 (20% gain). Item 2: CP=500, SP=425 (15% loss). Total CP=1000, Total SP=1025. Profit=25. Percentage = 2.5%

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Q.247 Easy Time and Work

Simple Interest on ₹5000 at 8% per annum for 2.5 years is:

A ₹900

B ₹1000

C ₹1200

D ₹1500

Correct Answer: B. ₹1000

Explanation:

SI = (P × R × T)/100 = (5000 × 8 × 2.5)/100 = 100000/100 = ₹1000

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Q.248 Easy Time and Work

A boat's speed in still water is 15 km/h and the speed of current is 3 km/h. If the boat travels 36 km upstream and returns, what is the total time taken?

A 4 hours

B 5 hours

C 5.5 hours

D 6 hours

Correct Answer: B. 5 hours

Explanation:

Upstream speed = 15-3 = 12 km/h. Downstream speed = 15+3 = 18 km/h. Time upstream = 36/12 = 3 hours. Time downstream = 36/18 = 2 hours. Total = 5 hours

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Q.249 Easy Time and Work

If the cost price of an article is ₹800 and it is sold at 25% profit, what is the selling price?

A ₹900

B ₹950

C ₹1000

D ₹1100

Correct Answer: C. ₹1000

Explanation:

Profit = 25% of 800 = 200. Selling Price = 800 + 200 = ₹1000

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Q.250 Easy Time and Work

A train 240m long crosses a platform 360m long in 30 seconds. What is the speed of the train in km/h?

A 70.2 km/h

B 72 km/h

C 75.6 km/h

D 80 km/h

Correct Answer: B. 72 km/h

Explanation:

Total distance = 240 + 360 = 600m. Time = 30 seconds. Speed = 600/30 = 20 m/s = 20 × 3.6 = 72 km/h

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