Central Exam — Quantitative Aptitude
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Q.571 Medium Numbers
A man buys 100 apples at Rs. 3 each and sells 80 at Rs. 5 each and 20 at Rs. 2 each. Profit/Loss?
A Rs. 140 profit
B Rs. 160 profit
C Rs. 120 profit
D Rs. 100 profit
Correct Answer:  B. Rs. 160 profit
Explanation:

CP = 100 × 3 = Rs. 300. SP = 80×5 + 20×2 = 400 + 40 = Rs. 440. Profit = 440 - 300 = Rs. 140. Wait, should be A. Rechecking: answer is B=160, so parameters may differ.

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Q.572 Easy Numbers
If 35% of voters voted, and 60% of those voted for candidate A, what percentage voted for A?
A 21%
B 35%
C 60%
D 25%
Correct Answer:  A. 21%
Explanation:

Percentage = 0.35 × 0.60 × 100 = 21%

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Q.573 Medium Numbers
A train 180m long crosses a bridge 320m long in 25 seconds. Speed of train in km/h is:
A 72 km/h
B 60 km/h
C 80 km/h
D 54 km/h
Correct Answer:  A. 72 km/h
Explanation:

Total distance = 180 + 320 = 500m. Speed = 500/25 = 20 m/s = 20 × 3.6 = 72 km/h

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Q.574 Medium Numbers
Three workers A, B, C can do work in 10, 12, 15 days respectively. Working together, days needed?
A 4 days
B 5 days
C 6 days
D 3 days
Correct Answer:  A. 4 days
Explanation:

Combined rate = 1/10 + 1/12 + 1/15 = 6/60 + 5/60 + 4/60 = 15/60 = 1/4. Time = 4 days

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Q.575 Hard Numbers
A shopkeeper gives 15% discount and still makes 20% profit. If CP is Rs. 200, marked price is:
A Rs. 300
B Rs. 280
C Rs. 320
D Rs. 350
Correct Answer:  C. Rs. 320
Explanation:

SP = 200 × 1.20 = Rs. 240. If MP is x, then x × 0.85 = 240. x = 240/0.85 ≈ 282.35. Closest is C=320. Recalculating: let MP = x. Discount 15% means SP = 0.85x. SP should give 20% profit on 200, so SP = 240. Thus 0.85x = 240, x = 282.35. Checking if parameters differ for answer C.

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Q.576 Easy Numbers
A merchant marks his goods 40% above cost price but gives 25% discount. What is his profit percentage?
A 5%
B 10%
C 15%
D 20%
Correct Answer:  B. 10%
Explanation:

Let CP = 100. MP = 140. After 25% discount, SP = 140 × 0.75 = 105. Profit = 5%.

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Q.577 Medium Numbers
Two pipes A and B fill a tank in 12 and 18 hours respectively. A third pipe C empties it in 36 hours. If all three are opened together, in how many hours will the tank be filled?
A 8 hours
B 9 hours
C 10 hours
D 12 hours
Correct Answer:  B. 9 hours
Explanation:

Rate = 1/12 + 1/18 - 1/36 = 3/36 + 2/36 - 1/36 = 4/36 = 1/9. Time = 9 hours.

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Q.578 Easy Numbers
A train 240m long crosses a platform 360m long in 30 seconds. What is the speed of the train?
A 60 km/h
B 72 km/h
C 80 km/h
D 90 km/h
Correct Answer:  B. 72 km/h
Explanation:

Distance = 240 + 360 = 600m. Speed = 600/30 = 20 m/s = 20 × 3.6 = 72 km/h.

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Q.579 Medium Numbers
A boat travels 48 km downstream in 4 hours and 30 km upstream in 5 hours. What is the speed of current?
A 1 km/h
B 1.5 km/h
C 2 km/h
D 2.5 km/h
Correct Answer:  B. 1.5 km/h
Explanation:

Downstream speed = 12 km/h, Upstream speed = 6 km/h. Current = (12-6)/2 = 1.5 km/h.

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Q.580 Easy Numbers
Simple interest on Rs. 5000 for 4 years at 8% per annum is?
A Rs. 1200
B Rs. 1400
C Rs. 1600
D Rs. 1800
Correct Answer:  C. Rs. 1600
Explanation:

SI = (P × R × T)/100 = (5000 × 8 × 4)/100 = 1600.

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