Three dice are thrown. Find the number of outcomes where the sum is 10. A. 36 B. 81 C. 91 D. 116 Explanation: Count valid combinations.
Three cubes of sides 9, 12, and 15 cm are melted to form a new cube. Find its side. A. 21 cm B. 19 cm C. 32 cm D. 18 cm Explanation: Total volume = cube of new side.
Three consecutive odd integers have a sum such that the last two exceed the first by 13. Find numbeRs. A. 9,11,13 B. 11,13,15 C. 13,15,17 D. 7,9,11 Explanation: Solve a linear relation.
Three dice are thrown. Probability that no two show same number is ____. A. 7/12 B. 5/9 C. 1/36 D. 5/12 Explanation: Favorable = 120 → 120/216 = 5/9.
Three dice are thrown. Probability that exactly two show same number is ____. A. 5/9 B. 5/12 C. 1/36 D. 7/12 Explanation: Favorable outcomes = 90 → 90/216 = 5/12.
Three dice are thrown. Probability that all show the same number is ____. A. 1/216 B. 1/36 C. 5/9 D. 5/12 Explanation: Favorable = 6, total = 216 → 6/216 = 1/36.
In an election, a candidate got 62% votes and won by 288 votes. Find total votes polled. A. 456 B. 744 C. 912 D. 1200 Explanation: Difference = 24% = 288 → total = 1200.
The price of an article increases by 30% in the first year and decreases by 20% in the next year. What is the net change? A. Rs. 1500 B. Rs. 1800 C. Rs. 2000 D. Rs. 2400 Explanation: Net factor = 1.3 × 0.8 = 1.04 → 4% increase.
There is a 60% increase in a sum in 6 years at simple interest. What will be the compound interest on Rs. 12000 for 3 years at the same rate? A. Rs. 2160 B. Rs. 3120 C. Rs. 3972 D. Rs. 6240 Explanation: Rate = 10%, CI = 12000[(1.1)³ − 1] = 3972.
Balls of different colors arranged. Find the number of arrangements. A. 15 B. 18 C. 24 D. 30 Explanation: Permutations with repetition.