State 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?
A10 hours
B12 hours
C15 hours
D18 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?
A72
B108
C144
D216
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.
A90
B100
C120
D150
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?
A3 hours
B4 hours
C5 hours
D6 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?
A15%
B20%
C25%
D35%
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?
A20%
B25%
C30%
D15%
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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