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What is the probability of getting a sum of 7 when two dice are rolled?
Correct Answer:
A. 1/6
EXPLANATION
Favorable outcomes: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6. Total outcomes = 36. Probability = 6/36 = 1/6
If 3 men can complete a task in 8 days, how many men are needed to complete it in 6 days?
Correct Answer:
B. 4
EXPLANATION
Total work = 3 × 8 = 24 man-days. Men needed = 24/6 = 4
A number when divided by 7 leaves remainder 3. What is the number if the quotient is 8?
Correct Answer:
D. 59
EXPLANATION
Number = Divisor × Quotient + Remainder = 7 × 8 + 3 = 56 + 3 = 59
If a person invests Rs. 5000 at 8% simple interest per annum for 3 years, what is the total amount?
Correct Answer:
A. Rs. 6200
EXPLANATION
SI = (P × R × T)/100 = (5000 × 8 × 3)/100 = 1200. Total = 5000 + 1200 = 6200
A man spends 40% of his salary on food, 30% on rent, and saves the rest. If his salary is Rs. 50,000, how much does he save?
Correct Answer:
C. Rs. 15,000
EXPLANATION
Savings = 100% - 40% - 30% = 30%. 30% of 50,000 = 15,000
What is the equation of a line passing through (2,3) with slope 4?
Correct Answer:
A. y = 4x - 5
EXPLANATION
Using y - y₁ = m(x - x₁): y - 3 = 4(x - 2) → y = 4x - 5
Two numbers are in the ratio 3:4. If their sum is 140, what is the larger number?
Correct Answer:
C. 80
EXPLANATION
Let numbers be 3x and 4x. Sum = 7x = 140, so x = 20. Larger number = 4×20 = 80
If the ratio of A:B:C is 2:3:5 and their sum is 100, what is the value of C?
Correct Answer:
C. 50
EXPLANATION
Let A=2x, B=3x, C=5x. Sum = 10x = 100, so x=10. Therefore C = 5×10 = 50
What percentage of 250 is 75?
Correct Answer:
C. 30%
EXPLANATION
(75/250) × 100 = 30%
A boat covers 15 km upstream and 25 km downstream in 5 hours. What is the speed of the boat in still water if the river current is 2 km/h?
Correct Answer:
B. 8 km/h
EXPLANATION
Let boat speed = b. Upstream speed = b-2, Downstream speed = b+2. 15/(b-2) + 25/(b+2) = 5. Solving gives b = 8 km/h