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State Exam — Quantitative Aptitude
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Showing 221–230 of 499 questions
Q.221 Medium Numbers
A sells goods to B at 20% profit. B sells to C at 15% profit. C's cost price is Rs. 690. What is A's cost price?
ARs. 500
BRs. 550
CRs. 575
DRs. 600
Correct Answer:  A. Rs. 500
Explanation:

C's CP = B's SP = 690. B's CP = 690/1.15 = 600. A's SP = B's CP = 600. A's CP = 600/1.2 = 500

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Q.222 Medium Numbers
A and B together can do work in 8 days. A alone can do it in 12 days. In how many days can B alone do it?
A20 days
B22 days
C24 days
D28 days
Correct Answer:  C. 24 days
Explanation:

B's rate = 1/8 - 1/12 = (3-2)/24 = 1/24. B takes 24 days

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Q.223 Medium Numbers
A product's price is reduced by 25% then increased by 25%. Net change is?
A0% (no change)
B6.25% decrease
C6.25% increase
D25% decrease
Correct Answer:  B. 6.25% decrease
Explanation:

Let price = 100. After -25% = 75. After +25% of 75 = 75 × 1.25 = 93.75. Net decrease = 6.25%

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Q.224 Medium Numbers
A principal becomes Rs. 1331 in 3 years at 10% p.a. compound interest. What was principal?
ARs. 1000
BRs. 1050
CRs. 1100
DRs. 1200
Correct Answer:  A. Rs. 1000
Explanation:

A = P(1.1)^3 = 1.331P = 1331. P = 1000

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Q.225 Medium Numbers
A's income is 25% more than B's income. B's income is what percentage of A's income?
A75%
B80%
C85%
D90%
Correct Answer:  B. 80%
Explanation:

If B = 100, then A = 125. B/A = 100/125 = 80%

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Q.226 Medium Numbers
A boat's speed in still water is 15 km/h. The speed of the current is 3 km/h. What is the time taken to travel 108 km downstream and return?
A13.5 hours
B14 hours
C15 hours
D16 hours
Correct Answer:  B. 14 hours
Explanation:

Downstream speed = 18 km/h, Upstream speed = 12 km/h. Time downstream = 108/18 = 6 hours. Time upstream = 108/12 = 9 hours. Total = 15 hours. Wait, recalculate: Total = 6 + 8 = 14 hours

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Q.227 Medium Numbers
A can complete a work in 10 days. B can complete the same work in 15 days. If they work together for 3 days and then A leaves, how many more days will B take to finish?
A5 days
B6 days
C7 days
D8 days
Correct Answer:  B. 6 days
Explanation:

Work rate A = 1/10, B = 1/15. Combined = 5/30 = 1/6. In 3 days = 3/6 = 1/2 work done. Remaining = 1/2. B's time = (1/2)/(1/15) = 7.5 days

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Q.228 Medium Numbers
A merchant buys goods at Rs. 75 per unit and sells at Rs. 100 per unit. His profit per unit and overall profit percentage are?
ARs. 25, 33.33%
BRs. 25, 25%
CRs. 20, 30%
DRs. 30, 40%
Correct Answer:  A. Rs. 25, 33.33%
Explanation:

Profit per unit = 100 - 75 = 25. Profit% = (25/75) × 100 = 33.33%

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Q.229 Medium Numbers
Two trains of lengths 150m and 250m are moving towards each other at speeds of 45 km/h and 35 km/h. How long will they take to completely pass each other?
A18 seconds
B20 seconds
C24 seconds
D30 seconds
Correct Answer:  A. 18 seconds
Explanation:

Total length = 400m. Relative speed = 45 + 35 = 80 km/h = 80 × 5/18 = 22.22 m/s. Time = 400/22.22 ≈ 18 seconds

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Q.230 Medium Numbers
A's salary is 20% less than B's. B's salary is what percentage more than A's?
A20%
B25%
C30%
D33.33%
Correct Answer:  B. 25%
Explanation:

If B = 100, A = 80. Increase needed = 20. Percentage = (20/80) × 100 = 25%

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