GATE Questions and Answers with Explanation

Q:

Which of the following is not a transverse wave?

A) Light waves	B) Radio waves
C) Sound waves	D) All the above

Answer & Explanation Answer: C) Sound waves

Explanation:

Light and Radio waves are both different frequency/wavelengths of electromagnetic radiation, which consists of two components electric and magnetic of perpendicular, transverse waves.

Sound, on the other hand, is a longitudinal wave which oscillates parallel to it's medium (back and forth instead of up and down).

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Filed Under: Physics
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Q:

Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be ?

A) 900 mts	B) 300 mts
C) 250 mts	D) 500 mts

Answer & Explanation Answer: D) 500 mts

Explanation:

Using pythagarous theorem,
distance travelled by first train = 36x5/18x30 = 300m
distance travelled by second train = 48x5/18x30 = 400m
so distance between them =√( 90000 + 160000) = √250000 = 500mts.

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Filed Under: Time and Distance
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Q:

Solve the equation ${(\frac{1}{2})}^{2 x + 1} = 1$ ?

A) -1/2	B) 1/2
C) 1	D) -1

Answer & Explanation Answer: A) -1/2

Explanation:

Rewrite equation as ${(\frac{1}{2})}^{2 x + 1} = {(\frac{1}{2})}^{0}$

Leads to 2x + 1 = 0

Solve for x : x = -1/2

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Filed Under: Logarithms
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37 6695

Q:

In the given numbers, if in each number first digit is replaced by the third digit, second digit is replaced by the first digit and third digit is replaced by the second digit then which number will be the biggest ?

653 749 872 933 541

A) 933	B) 872
C) 749	D) 653

Answer & Explanation Answer: C) 749

Explanation:

From the given data,

EXP.

Largest number = 974

Therefore, the required number is 749.

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Filed Under: Arithmetical Reasoning
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11 6687

Q:

Teachers day is celebrated in memory of

A) Dr. Rajendra Prasad	B) Sir Vallabhai Patel
C) Dr. Sarvepalli Radhakrishnan	D) Jawaharlal Nehru

Answer & Explanation Answer: C) Dr. Sarvepalli Radhakrishnan

Explanation:

Every year 5th September is celebrated as Teacher's Day in India, in the memory of Dr. Sarvepalli Radhakrishnan's birthday. He was the first vice-president and second president of India.

Teachers_day_is_celebrated_in_memory_of1536127626.jpg image

After he become the president of India, his students want to celebrate his birthday in grand but he refused and he adviced them to celebrate that day as teachers day. From then, 5th September is celebrated as Teacher's Day.

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Filed Under: General Awareness
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2 6678

Q:

Ammeter : Current :: Odometer : ?

A) Blood Pressure	B) Haemoglobin
C) pressure	D) Speed

Answer & Explanation Answer: D) Speed

Explanation:

Here Ammeter is used for measuring Current whereas Odometer is used to measure Speed.

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Filed Under: Analogy
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Q:

Wince : Pain :: Prostration : ?

A) Frustration	B) Submissiveness
C) Strained	D) Discomfiture

Answer & Explanation Answer: B) Submissiveness

Explanation:

First is the sigh of the second.

Hence, Wince : Pain :: Prostration :Submissiveness.

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Filed Under: Analogy
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Q:

A person says that his son is 5 times as old as his daughter and his wife is 5 times older than his son and he is twice the age of his wife . The sum total of all the ages equals the age of the grand mother who celebrated her 81st birthday today. How old was his son?

A) 50 yrs	B) 25 yrs
C) 72 yrs	D) 40 yrs

Answer & Explanation Answer: A) 50 yrs

Explanation:

Let the daughter age be 'x'
Therefore, Son age = 5x, Mother age = 25x, Person age = 50x.

Thus we get, x+5x+25x+50x = 81
81x = 81
x = 1

Daughter's age = 1, Son's = 5, Mother's = 25, Person's age = 50.

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Filed Under: Problems on Ages
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