GATE Questions and Answers with Explanation

Q:

What has a head and a tail but nobody?

Answer

A Coin has a Head and tail but no body. Since the two sides of coin are called as heads and tails.

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Subject: Logic Puzzles Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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12 8749

Q:

The angle between the minute hand and the hour hand of a clock when the time is 4.15 is

A) 0	B) 37.5
C) 27	D) 15

Answer & Explanation Answer: B) 37.5

Explanation:

Angle between hands of a clock

When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock

=> $30 (H - \frac{M}{5}) + \frac{M}{2}$ degrees

Here H = 4, M = 15 and the minute hand is behind the hour hand.

Hence the angle

= 30[4-(15/5)]+15/2 = 30(1)+7.5 = 37.5 degrees

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Filed Under: Clocks
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24 8749

Q:

Solve the math puzzle given below?

math_puzzle1541075516.jpg image

A) 14	B) 10
C) 9	D) 8

Answer & Explanation Answer: B) 10

Explanation:

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Filed Under: Math Puzzles
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77 8743

Q:

From a tank of petrol, which contains 200 litres of petrol, the seller replaces each time with kerosene when he sells 40 litres of petrol(or its mixture). Everytime he sells out only 40 litres of petrol(pure or impure). After replacing the petrol with kerosen 4th time, the total amount of kerosene in the mixture is

A) 81.92L	B) 96L
C) 118.08L	D) None of these

Answer & Explanation Answer: C) 118.08L

Explanation:

The amount of petrol left after 4 operations

= $200 \times {(1 - \frac{40}{200})}^{4}$

= $200 \times {(\frac{4}{5})}^{4}$

= $200 \times (\frac{256}{625})$

= 81.92 litres

Hence the amount of kerosene = 200 - 81.92 = 118. 08 litres

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Filed Under: Alligation or Mixture
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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9 8741

Q:

Who is the primary Author of HTML?

A) Sabeer Bhatiya	B) Tim Berners-Lee
C) Brendan Eich	D) Google Inc.

Answer & Explanation Answer: B) Tim Berners-Lee

Explanation:

The primary Author of HTML is Tim Berners-Lee, a scientist and academic, with the assistance of his colleagues at CERN, an international scientific organization based in Geneva, he did this. Berners-Lee invented the World Wide Web in 1989 at CERN.

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Filed Under: General Awareness
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5 8735

Q:

Arun, Bharat and Chari started a business in a partnership with investment of Rs 12000, Rs 26000 and Rs 32000 respectively. After 4 months Arun leaves. After 6 months Bharat leaves and Arun joins with an amount equal to his earlier investment. After 10 months, Chari leaves and Bharat joins with his prior investment. At the end of the year they earn a profit of Rs 53622. Find the share of chari in the annual profit?

A) 16547	B) 17212
C) 14875	D) 27848

Answer & Explanation Answer: D) 27848

Explanation:

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Filed Under: Partnership
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10 8727

Q:

A man can row upstream at 16 km/hr and downstream at 24 km/hr. Find the speed of the current.

A) 4 kmph	B) 6 kmph
C) 5 kmph	D) 3 kmph

Answer & Explanation Answer: A) 4 kmph

Explanation:

Speed of the current = 24-16/2

= 8/2

= 4 km/hr.

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Filed Under: Boats and Streams
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11 8723

Q:

Anu's present age is 9 years more than that of what Raj's age will be after five years. Raj's present age is seven years more than that of what Renu's age was 4 years ago. Renu's present age is 19 years. What will be Anu's age after 5 years ?

A) 39 yrs	B) 36 yrs
C) 46 yrs	D) 41 yrs

Answer & Explanation Answer: D) 41 yrs

Explanation:

Anu = (Raj + 5) + 9

= Raj + 14 -------- (I)

Raj = (Renu - 4) + 7

= Renu + 3 ------- (II)

Raj's age = 19 + 3 = 22 years

After 5 years Anu's age = 22 + 14 + 5 = 41 years

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Filed Under: Problems on Ages
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