Govt. Exams
Entrance Exams
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Topics in Placement Papers
If all birds can fly and all eagles are birds, then all eagles can fly. This is an example of which type of reasoning?
Correct Answer:
B. Deductive reasoning
EXPLANATION
This follows a logical structure (syllogism) from general premise to specific conclusion, which is deductive reasoning.
Two persons A and B invest Rs. 2000 and Rs. 3000 respectively in a business. If the profit is Rs. 5000, how much profit does A get?
Correct Answer:
A. Rs. 2000
EXPLANATION
Ratio = 2000:3000 = 2:3. A's share = (2/5) × 5000 = Rs. 2000
In a class, 60% students passed in Math, 70% passed in Science, and 50% passed in both. What percentage of students failed in both subjects?
Correct Answer:
C. 20%
EXPLANATION
Passed in at least one = 60 + 70 - 50 = 80%. Failed in both = 100 - 80 = 20%
If (a + b)² = 64 and ab = 15, what is a² + b²?
Correct Answer:
B. 34
EXPLANATION
(a + b)² = a² + 2ab + b². 64 = a² + b² + 30. a² + b² = 34
A man's age is 3 times his son's age. After 10 years, his age will be 2 times his son's age. What is the son's current age?
Correct Answer:
B. 10 years
EXPLANATION
Let son's age = x. Man's age = 3x. After 10 years: 3x + 10 = 2(x + 10). 3x + 10 = 2x + 20. x = 10
If a sequence is 2, 5, 10, 17, 26, what is the next number?
Correct Answer:
B. 37
EXPLANATION
Differences: 3, 5, 7, 9... next difference is 11. So 26 + 11 = 37
A shopkeeper marks up goods by 50% and gives a discount of 20%. What is his profit percentage?
Correct Answer:
A. 20%
EXPLANATION
Let CP = 100. Marked Price = 150. After 20% discount: SP = 150 × 0.8 = 120. Profit = 20%
Two pipes A and B can fill a tank in 12 hours and 18 hours respectively. If both pipes are opened together, how long will it take to fill the tank?
Correct Answer:
B. 7.2 hours
EXPLANATION
Rate of A = 1/12 per hour. Rate of B = 1/18 per hour. Combined rate = 1/12 + 1/18 = 3/36 + 2/36 = 5/36. Time = 36/5 = 7.2 hours
