Entrance Exams
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All cats are animals. All animals breathe. Therefore:
Correct Answer:
B. All cats breathe
EXPLANATION
This is deductive reasoning. If cats are animals and animals breathe, then cats must breathe
If 30% of x is 45, then x is:
Correct Answer:
D. 150
EXPLANATION
0.30 × x = 45. x = 45/0.30 = 150
Find the next number in the sequence: 1, 1, 2, 3, 5, 8, ?
Correct Answer:
C. 13
EXPLANATION
This is the Fibonacci sequence where each number is the sum of the previous two: 5+8=13
Which number is NOT a perfect square?
Correct Answer:
C. 195
EXPLANATION
144=12², 169=13², 196=14², but 195 is not a perfect square (√195 ≈ 13.96)
What is the value of (2.5)² - (1.5)² / 2?
Correct Answer:
A. 2
EXPLANATION
(2.5)² - (1.5)² / 2 = [6.25 - 2.25] / 2 = 4/2 = 2
A shopkeeper buys an item at Rs. 400 and sells it at Rs. 520. What is his profit percentage?
Correct Answer:
C. 30%
EXPLANATION
Profit = 520 - 400 = 120. Profit% = (120/400) × 100 = 30%
If 5 workers can complete a job in 12 days, how many days will 8 workers take?
Correct Answer:
B. 7.5 days
EXPLANATION
Work = 5 × 12 = 60 worker-days. Days for 8 workers = 60/8 = 7.5 days
What is the compound interest on Rs. 10,000 at 10% per annum for 2 years?
Correct Answer:
B. Rs. 2,100
EXPLANATION
CI = P[(1 + r/100)^n - 1] = 10000[(1.1)^2 - 1] = 10000[0.21] = Rs. 2,100
If a number is divisible by both 12 and 18, it must be divisible by:
Correct Answer:
B. 36
EXPLANATION
LCM of 12 and 18 = 36. Any number divisible by both 12 and 18 must be divisible by their LCM, which is 36
A train travels 120 km in 2 hours and then 150 km in 3 hours. What is the average speed of the train?
Correct Answer:
A. 54 km/h
EXPLANATION
Total distance = 120 + 150 = 270 km. Total time = 2 + 3 = 5 hours. Average speed = 270/5 = 54 km/h