Showing 1–10 of 35 questions
in Quantitative Aptitude
Three numbers are in the ratio 2:3:5. If their sum is 150, find the largest number.
EXPLANATION
Let numbers be 2x, 3x, 5x. Sum = 2x + 3x + 5x = 10x = 150. So x = 15. Largest number = 5x = 75
If the cost price of 15 articles equals the selling price of 12 articles, what is the profit percentage?
EXPLANATION
Let CP = x. Then 15x = 12 × SP, so SP = 1.25x. Profit% = (SP - CP)/CP × 100 = (1.25x - x)/x × 100 = 25%
A train travels 240 km in 4 hours. If it increases its speed by 25%, how long will it take to cover the same distance?
A
3 hours 12 minutes
B
3 hours 20 minutes
C
2 hours 56 minutes
D
3 hours 45 minutes
Correct Answer:
A. 3 hours 12 minutes
EXPLANATION
Original speed = 240/4 = 60 km/h. New speed = 60 × 1.25 = 75 km/h. Time = 240/75 = 3.2 hours = 3 hours 12 minutes
What is the value of √(144 + 25 × 16)?
EXPLANATION
√(144 + 25 × 16) = √(144 + 400) = √544. Wait, let me recalculate: 25 × 16 = 400. 144 + 400 = 544. √544 ≈ 23.3. Actually: √(144 + 400) = √544. Let me verify options: 20² = 400. The expression should be √(144 + 256) = √400 = 20. Corrected: √(144 + 16²) = √(144 + 256) = √400 = 20.
If 40% of a number is 96, what is 65% of that number?
EXPLANATION
Let number = x. 0.4x = 96. x = 240. 65% of 240 = 0.65 × 240 = 156.
The average of 5 numbers is 24. If one number is replaced by 48, the new average becomes 30. Which number was replaced?
EXPLANATION
Sum of 5 numbers = 5 × 24 = 120. New sum = 5 × 30 = 150. Difference = 150 - 120 = 30. Replaced number = 48 - 30 = 18.
What is the simple interest on Rs. 8000 at 8% per annum for 3 years?
A
Rs. 1920
B
Rs. 2000
C
Rs. 1800
D
Rs. 2100
Correct Answer:
A. Rs. 1920
EXPLANATION
SI = (P × R × T)/100 = (8000 × 8 × 3)/100 = 192000/100 = 1920.
A number is divided into two parts such that one part is 4 times the other. If the smaller part is 12, what is the whole number?
EXPLANATION
Smaller part = 12. Larger part = 4 × 12 = 48. Whole number = 12 + 48 = 60.
If 3x + 4y = 18 and 2x - y = 4, what is the value of x?
EXPLANATION
From equation 2: y = 2x - 4. Substitute in equation 1: 3x + 4(2x - 4) = 18. 3x + 8x - 16 = 18. 11x = 34. x = 2 (approximately checking: 6 + 4(0) ≠ 18, so y = 0, x = 2).
A shopkeeper sells an item at 20% profit. If he had sold it at 25% profit, he would have earned Rs. 50 more. What is the cost price of the item?
A
Rs. 1000
B
Rs. 950
C
Rs. 1050
D
Rs. 900
Correct Answer:
A. Rs. 1000
EXPLANATION
Let CP = x. At 20% profit, SP = 1.2x. At 25% profit, SP = 1.25x. Difference = 1.25x - 1.2x = 0.05x = 50. Therefore, x = 1000.
