Entrance Exams
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Topics in Placement Papers
If ORANGE is to FRUIT, then SHARK is to:
Correct Answer:
C. FISH
EXPLANATION
Orange is a type of fruit. Shark is a type of fish. This is a classification relationship
If ROSE is coded as 6918, then NOSE is coded as:
Correct Answer:
A. 1918
EXPLANATION
R=6, O=9, S=1, E=8. So NOSE = 1-9-1-8 = 1918
Statement: Some doctors are teachers. All teachers are educated. Conclusion: Some doctors are educated.
Correct Answer:
A. Follows
EXPLANATION
Since some doctors are teachers, and all teachers are educated, some doctors must be educated
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
What is the angle between the hour hand and minute hand at 3:15?
Correct Answer:
B. 7.5°
EXPLANATION
At 3:15, minute hand at 3 (90°), hour hand at 3 + 15/60 × 30 = 97.5°. Difference = 7.5°
A man walks 5 km north, then 3 km east, then 5 km south. How far is he from his starting point?
Correct Answer:
A. 3 km
EXPLANATION
After north and south movements (cancel out), he is only 3 km east of starting point
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)
If x² + 1/x² = 7, then x + 1/x is:
Correct Answer:
B. ±3
EXPLANATION
(x + 1/x)² = x² + 2 + 1/x² = 7 + 2 = 9. So x + 1/x = ±3