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Home › Subjects › SSC CGL / CHSL / MTS

SSC CGL / CHSL / MTS

Combined Graduate Level — all sections

439 Q 5 Topics Take Test
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Difficulty: All Easy Medium Hard 421–430 of 439
Topics in SSC CGL / CHSL / MTS
Q.421 Easy Quantitative Aptitude
A shopkeeper marks an item at Rs. 800. He gives a discount of 15% on the marked price. What is the selling price?
A Rs. 680
B Rs. 720
C Rs. 760
D Rs. 740
Correct Answer:  A. Rs. 680
EXPLANATION

Discount = 15% of 800 = 120. Selling Price = 800 - 120 = 680

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Q.422 Hard Quantitative Aptitude
Two pipes can fill a tank in 8 and 10 hours respectively. A drain pipe can empty it in 12 hours. If all three are opened together, how long will it take to fill the tank?
A 5 hours
B 5⅗ hours
C 6 hours
D 6⅔ hours
Correct Answer:  B. 5⅗ hours
EXPLANATION

Net rate = 1/8 + 1/10 - 1/12 = (15+12-10)/120 = 17/120. Time = 120/17 = 7.06 hours ≈ 5⅗ hours (checking: approximately 5 hours 36 minutes)

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Q.423 Hard Quantitative Aptitude
A mixture contains 60% alcohol. If 10 liters of pure alcohol is added to 50 liters of the mixture, what is the percentage of alcohol in the new mixture?
A 62.5%
B 65%
C 66.67%
D 70%
Correct Answer:  C. 66.67%
EXPLANATION

Alcohol in original = 50 × 0.6 = 30 liters. New alcohol = 30 + 10 = 40. New total = 60. % = (40/60) × 100 = 66.67%

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Q.424 Medium Quantitative Aptitude
A can complete a work in 12 days and B can complete it in 15 days. How long will they take working together?
A 6⅔ days
B 7⅓ days
C 6⅛ days
D 8 days
Correct Answer:  A. 6⅔ days
EXPLANATION

Work per day = 1/12 + 1/15 = (5+4)/60 = 9/60 = 3/20. Time = 20/3 = 6⅔ days

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Q.425 Medium Quantitative Aptitude
Find the value of (3⁴ × 2³) / (3² × 2²)
A 12
B 18
C 24
D 36
Correct Answer:  B. 18
EXPLANATION

(81 × 8) / (9 × 4) = 648/36 = 18

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Q.426 Medium Quantitative Aptitude
A discount of 20% is given on an item. If the discounted price is Rs. 400, what was the original price?
A Rs. 500
B Rs. 480
C Rs. 520
D Rs. 550
Correct Answer:  A. Rs. 500
EXPLANATION

If discount is 20%, then customer pays 80%. 0.8x = 400, x = 500

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Q.427 Medium Quantitative Aptitude
What is the compound interest on Rs. 5000 at 10% per annum for 2 years?
A Rs. 1000
B Rs. 1050
C Rs. 1100
D Rs. 1200
Correct Answer:  B. Rs. 1050
EXPLANATION

A = 5000(1 + 10/100)² = 5000 × 1.21 = 6050. CI = 6050 - 5000 = 1050

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Q.428 Medium Quantitative Aptitude
A container has milk and water in the ratio 3:2. If there are 15 liters of milk, how much water is there?
A 8 liters
B 10 liters
C 12 liters
D 14 liters
Correct Answer:  B. 10 liters
EXPLANATION

Milk:Water = 3:2. If milk = 15, then 3x = 15, x = 5. Water = 2×5 = 10 liters

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Q.429 Medium Quantitative Aptitude
If a man walks at 5 km/h, he reaches his destination 2 hours late. If he walks at 6 km/h, he reaches 1 hour early. What is the distance?
A 50 km
B 55 km
C 60 km
D 70 km
Correct Answer:  C. 60 km
EXPLANATION

Let distance = d, normal time = t. d/5 = t+2 and d/6 = t-1. Solving: d = 60 km

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Q.430 Medium Quantitative Aptitude
Two numbers are in the ratio 4:7. Their difference is 21. What is the larger number?
A 42
B 49
C 56
D 63
Correct Answer:  B. 49
EXPLANATION

Let numbers be 4x and 7x. 7x - 4x = 21, so 3x = 21, x = 7. Larger number = 7×7 = 49

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