GATE General Aptitude & Logical Reasoning 3

Question 1

A clock shows 3:15. What is the angle between the hour and minute hands?

Accepted Answer

7.5°

Answer

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.

Accepted Answer

15

Answer

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?

Accepted Answer

15 years

Answer

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?

Accepted Answer

Sister

Answer

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?

Accepted Answer

Carpenter : Saw

Answer

A surgeon uses a scalpel as a primary cutting tool; similarly, a carpenter uses a saw as a primary cutting tool.

(GATE) Graduate Aptitude Test in Engineering Practice Test