Central Exam — SSC CGL / CHSL / MTS
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Q.1 Medium Quantitative Aptitude
A vendor buys bananas at Rs. 3 per dozen and sells at Rs. 0.35 per banana. What is his profit percentage?
A 40%
B 35%
C 45%
D 50%
Correct Answer:  A. 40%
Explanation:

Cost per banana = 3/12 = 0.25. Selling price = 0.35. Profit% = ((0.35-0.25)/0.25) × 100 = 40%

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Q.2 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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Q.3 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.4 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.5 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.6 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.7 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.8 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.9 Medium Quantitative Aptitude
A man buys a watch for Rs. 900 and sells it for Rs. 1080. What is his profit percentage?
A 20%
B 25%
C 15%
D 30%
Correct Answer:  A. 20%
Explanation:

Profit = 1080 - 900 = 180. Profit% = (180/900) × 100 = 20%

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Q.10 Medium Quantitative Aptitude
If 2x² + 3x - 5 = 0, what is one value of x?
A 1
B -1
C 2
D -2
Correct Answer:  A. 1
Explanation:

2(1)² + 3(1) - 5 = 2 + 3 - 5 = 0. So x = 1 is a solution.

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