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A person invests Rs. 10,000 at 10% per annum for 2 years. What is the compound interest?
Correct Answer:
B. Rs. 2,100
EXPLANATION
CI = P(1+R/100)^T - P = 10000(1.1)^2 - 10000 = 10000(1.21) - 10000 = 12100 - 10000 = 2100.
What is the LCM of 24, 36, and 48?
Correct Answer:
A. 144
EXPLANATION
24 = 2^3 × 3, 36 = 2^2 × 3^2, 48 = 2^4 × 3. LCM = 2^4 × 3^2 = 16 × 9 = 144.
If 5 men can do a work in 12 days, how many men are needed to do the same work in 3 days?
Correct Answer:
B. 20 men
EXPLANATION
Work = 5 × 12 = 60 man-days. For 3 days: Men needed = 60/3 = 20 men.
A merchant bought goods for Rs. 400 and marked them at 40% above the cost price. He gave a 10% discount. What is his profit percentage?
Correct Answer:
A. 26%
EXPLANATION
Cost price = 400. Marked price = 400 × 1.40 = 560. Selling price = 560 × 0.90 = 504. Profit = 504 - 400 = 104. Profit % = (104/400) × 100 = 26%.
If a number is increased by 20% and then decreased by 20%, what is the net change?
Correct Answer:
B. 4% decrease
EXPLANATION
Let the number be 100. After 20% increase: 120. After 20% decrease of 120: 120 × 0.8 = 96. Net change = 96 - 100 = -4, which is 4% decrease.
A train travels 120 km in 2 hours and then 80 km in 1.5 hours. What is the average speed of the entire journey?
Correct Answer:
A. 65.71 km/h
EXPLANATION
Total distance = 120 + 80 = 200 km. Total time = 2 + 1.5 = 3.5 hours. Average speed = 200/3.5 = 57.14 km/h. Wait, let me recalculate: 200/3.5 = 65.71 km/h.
