Govt. Exams
Entrance Exams
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Topics in SSC CGL / CHSL / MTS
A can complete a work in 12 days and B can complete it in 15 days. How long will they take working together?
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
Find the value of (3⁴ × 2³) / (3² × 2²)
Correct Answer:
B. 18
EXPLANATION
(81 × 8) / (9 × 4) = 648/36 = 18
A discount of 20% is given on an item. If the discounted price is Rs. 400, what was the original price?
Correct Answer:
A. Rs. 500
EXPLANATION
If discount is 20%, then customer pays 80%. 0.8x = 400, x = 500
What is the compound interest on Rs. 5000 at 10% per annum for 2 years?
Correct Answer:
B. Rs. 1050
EXPLANATION
A = 5000(1 + 10/100)² = 5000 × 1.21 = 6050. CI = 6050 - 5000 = 1050
A container has milk and water in the ratio 3:2. If there are 15 liters of milk, how much water is there?
Correct Answer:
B. 10 liters
EXPLANATION
Milk:Water = 3:2. If milk = 15, then 3x = 15, x = 5. Water = 2×5 = 10 liters
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?
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
Two numbers are in the ratio 4:7. Their difference is 21. What is the larger number?
Correct Answer:
B. 49
EXPLANATION
Let numbers be 4x and 7x. 7x - 4x = 21, so 3x = 21, x = 7. Larger number = 7×7 = 49
A vendor buys bananas at Rs. 3 per dozen and sells at Rs. 0.35 per banana. What is his profit percentage?
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%
