Central Exam — Quantitative Aptitude
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Showing 311–320 of 429 questions
Q.311 Easy HCF and LCM
A man buys an article for ₹800 and sells it at a 25% profit. What is the selling price?
A ₹900
B ₹1000
C ₹1200
D ₹1400
Correct Answer:  B. ₹1000
Explanation:

Selling Price = Cost Price + Profit = 800 + (25% of 800) = 800 + 200 = ₹1000

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Q.312 Easy HCF and LCM
Two pipes A and B can fill a tank in 20 hours and 30 hours respectively. If both pipes are opened together, in how many hours will the tank be filled?
A 10 hours
B 12 hours
C 15 hours
D 18 hours
Correct Answer:  B. 12 hours
Explanation:

Work done by A in 1 hour = 1/20. Work done by B in 1 hour = 1/30. Combined = 1/20 + 1/30 = 5/60 = 1/12. Time = 12 hours

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Q.313 Easy HCF and LCM
Simple Interest on ₹5000 at 8% per annum for 2 years is?
A ₹400
B ₹600
C ₹800
D ₹1000
Correct Answer:  C. ₹800
Explanation:

SI = (Principal × Rate × Time)/100 = (5000 × 8 × 2)/100 = 80000/100 = ₹800

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Q.314 Easy HCF and LCM
The LCM of 18, 24, and 36 is?
A 72
B 108
C 144
D 216
Correct Answer:  A. 72
Explanation:

18 = 2 × 3^2, 24 = 2^3 × 3, 36 = 2^2 × 3^2. LCM = 2^3 × 3^2 = 8 × 9 = 72

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Q.315 Easy HCF and LCM
An article is sold at ₹1200 with a loss of 20%. What was the cost price?
A ₹1400
B ₹1500
C ₹1600
D ₹1800
Correct Answer:  B. ₹1500
Explanation:

Selling Price = Cost Price × (1 - Loss%). 1200 = CP × 0.8. CP = 1200/0.8 = ₹1500

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Q.316 Easy HCF and LCM
If HCF(a, b) = 15 and LCM(a, b) = 450, and a = 75, find b.
A 90
B 100
C 120
D 150
Correct Answer:  A. 90
Explanation:

HCF × LCM = a × b. 15 × 450 = 75 × b. 6750 = 75b. b = 90

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Q.317 Easy HCF and LCM
Two trains traveling at 45 km/h and 55 km/h are moving towards each other on parallel tracks. If they are 400 km apart, in how many hours will they meet?
A 3 hours
B 4 hours
C 5 hours
D 6 hours
Correct Answer:  B. 4 hours
Explanation:

Relative speed = 45 + 55 = 100 km/h. Time = Distance/Speed = 400/100 = 4 hours

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Q.318 Easy Profit and Loss
By selling an item for ₹432, a shopkeeper loses 10%. At what price should he sell to gain 20%?
A ₹576
B ₹588
C ₹600
D ₹648
Correct Answer:  A. ₹576
Explanation:

SP = ₹432 at 10% loss. CP = 432/0.9 = ₹480. For 20% profit: SP = 480 × 1.2 = ₹576.

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Q.319 Easy Profit and Loss
A trader marks goods at 60% above cost price and allows a discount of 25%. What is his profit percentage?
A 15%
B 20%
C 25%
D 35%
Correct Answer:  B. 20%
Explanation:

Let CP = 100. MP = 160. SP = 160 × 0.75 = 120. Profit = 20%.

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Q.320 Easy Profit and Loss
A man buys books at 5 for ₹400 and sells at 4 for ₹400. What is his profit percentage?
A 20%
B 25%
C 30%
D 15%
Correct Answer:  B. 25%
Explanation:

CP per book = 400/5 = ₹80. SP per book = 400/4 = ₹100. Profit = 20/80 × 100 = 25%.

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