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If 5 workers can build a wall in 12 days, how many days will 10 workers take?
Correct Answer:
B. 6 days
EXPLANATION
Work is inversely proportional to number of workers. (5 × 12) = (10 × x), so x = 6 days
A number when divided by 12 leaves remainder 5. What is the remainder when the number is divided by 4?
Correct Answer:
B. 1
EXPLANATION
Number = 12k + 5. When divided by 4: 12k + 5 = 4(3k) + 4 + 1 = 4(3k+1) + 1. Remainder = 1
Three numbers are in the ratio 2:3:5. If their sum is 100, what is the largest number?
Correct Answer:
C. 50
EXPLANATION
Let numbers be 2x, 3x, 5x. Sum = 2x + 3x + 5x = 10x = 100. x = 10. Largest = 5x = 50
A person covers 60% of a journey by train, 30% by bus, and the remaining distance of 20 km by walk. What is the total distance?
Correct Answer:
D. 200 km
EXPLANATION
Train + Bus = 60% + 30% = 90%. Walk = 10% = 20 km. Total = 20/0.10 = 200 km
If a number is divided by 7, it leaves a remainder of 4. If the same number is divided by 11, what could be the remainder?
Correct Answer:
D. Cannot be determined
EXPLANATION
The number could be 11, 18, 25, 32, etc. (of form 7k+4). When divided by 11, remainders vary: 11→0, 18→7, 25→3, 32→10. Cannot determine uniquely.
Two pipes A and B can fill a tank in 12 hours and 18 hours respectively. How long will it take to fill the tank if both pipes are opened together?
Correct Answer:
B. 7.2 hours
EXPLANATION
Rate of A = 1/12, Rate of B = 1/18. Combined rate = 1/12 + 1/18 = 5/36. Time = 36/5 = 7.2 hours
