GATE General Aptitude & Logical Reasoning 3 — Questions and Answers
Question 1: A clock shows 3:15. What is the angle between the hour and minute hands?
- 0°
- 7.5° (Correct answer)
- 15°
- 22.5°
Correct answer: 7.5°
At 3:15, minute hand is at 90°; hour hand is at 90+15×0.5=97.5°; angle=97.5−90=7.5°.
Question 2: Find the odd one out: 3, 5, 7, 11, 13, 15, 17.
- 11
- 13
- 15 (Correct answer)
- 17
Correct answer: 15
15 = 3×5 is composite; all others (3,5,7,11,13,17) are prime numbers.
Question 3: A sum doubles in 5 years at simple interest. In how many years will it become 4 times?
- 10 years
- 15 years (Correct answer)
- 20 years
- 25 years
Correct answer: 15 years
Doubling means SI = P in 5 years, so rate=20%/yr; to become 4P, SI=3P, years=3P/(P×0.20)=15 years.
Question 4: Pointing to a woman, Ram says, 'She is the daughter of the only son of my grandfather.' How is the woman related to Ram?
- Sister (Correct answer)
- Niece
- Cousin
- Daughter
Correct answer: Sister
Ram's grandfather's only son is Ram's father; the daughter of Ram's father is Ram's sister.
Question 5: Which of the following is analogous to the pair SURGEON : SCALPEL?
- Author : Book
- Painter : Canvas
- Carpenter : Saw (Correct answer)
- Teacher : Chalk
Correct answer: Carpenter : Saw
A surgeon uses a scalpel as a primary cutting tool; similarly, a carpenter uses a saw as a primary cutting tool.
Question 6: If 6 men can complete a job in 8 days working 10 hours a day, how many days will 4 men take working 12 hours a day?
- 8 days
- 10 days (Correct answer)
- 12 days
- 15 days
Correct answer: 10 days
Total man-hours=6×8×10=480; new scenario: 480/(4×12)=10 days.
Question 7: Select the correct mirror image of the word 'GATE' if the mirror is placed vertically to its right.
- ƐTAƎ
- ETAG (Correct answer)
- GATE
- 3TAD
Correct answer: ETAG
A vertical mirror reverses the order of letters, producing ETAG (letters themselves are also flipped, but in text representation the reverse order is ETAG).
GATE General Aptitude & Logical Reasoning 3
A clock shows 3:15.
What is the angle between the hour and minute hands?