GATE Questions and Answers with Explanation

Q:

Two stations A and B are 200 km apart on a straight track. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

A) 12 a.m.	B) 1 p.m.
C) 11 a.m.	D) 12 p.m.

Answer & Explanation Answer: D) 12 p.m.

Explanation:

Assume both trains meet after 'p' hours after 7 a.m.
Distance covered by train starting from A in 'p' hours = 20p km
Distance covered by train starting from B in (p-1) hours = 25(p-1)
Total distance = 200
=> 20x + 25(x-1) = 200
=> 45x = 225
=> p= 5
Means, they meet after 5 hours after 7 am, ie, they meet at 12 p.m.

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Filed Under: Time and Distance
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Q:

Water is a compound because it?

A) it contains two different elements joined by chemical bond	B) it contains hydrogen & oxygen
C) it exists as solid, liquid or gas	D) it cannot be split up into simpler substances by chemicals means

Answer & Explanation Answer: A) it contains two different elements joined by chemical bond

Explanation:

We know that All compounds are molecules, but not all molecules are compounds.

Water is a molecule because it is made from atoms that have been chemically combined. It is also a compound because the atoms that make water are not all the same - some are oxygen and some are hydrogen.

Hence, Water is a molecule and a compound.

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Filed Under: General Science
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Q:

Which value is equal to 5% of 1,500?

A) 35	B) 55
C) 75	D) 45

Answer & Explanation Answer: C) 75

Explanation:

In the question it is asked for 5% of 1500

5 x 1500/100 = 15 x 5 = 75.

Hence, 5% of 1,500 is equal to 75.

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Filed Under: Percentage
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Q:

Gammaxene, D.D.T. & Bleaching powder are important compounds of

A) Nitrogen	B) Phosphorus
C) Chlorine	D) Sulphur

Answer & Explanation Answer: C) Chlorine

Explanation:

Gammaxene, D.D.T. & Bleaching powder are important compounds of Chlorine.

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Q:

The Value of $[\log (\tan (1^{0})) + \log (\tan (2^{0})) + \dots \dots + \log (\tan (89^{0}))]$ is

A) -1	B) 0
C) 1/2	D) 1

Answer & Explanation Answer: B) 0

Explanation:

$= [\log \tan (1^{0}) + \log \tan (89^{0})] + [\log \tan (2^{0}) + \log \tan (88^{0})] + \dots \dots + [\log \tan (45^{0})]$

$= \log [\tan (1^{0}) \times \tan (89^{0})] + \log [\tan (2^{0}) \times \tan (88^{0})] + \dots \dots + \log (1)$

$[∵ \tan (90 - θ) = c o t θ a n d \tan (45^{0}) = 1]$

= log 1 + log 1 +.....+log 1

= 0.

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Filed Under: Logarithms
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Q:

A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in ?

A) 8 hrs	B) 12 hrs
C) 6 hrs	D) 4 hrs

Answer & Explanation Answer: C) 6 hrs

Explanation:

Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.

Then, (1/x + 2/x + 3/x) = 1/2

=> 6/x = 1/2 => x = 12

So, B takes 6 hours to finish the work.

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Filed Under: Time and Work
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Q:

Who became the first woman Director of an IIM ?

A) Deena Mehta	B) Neelu Rohmetra
C) Bhimaraya Metri	D) None

Answer & Explanation Answer: B) Neelu Rohmetra

Explanation:

Dr. Neelu Rohmetra from Jammu University has been appointed as one of the heads of IIMs. She became the first woman director of Indian Institute of Management Sirmaur, Himachal Pradesh. Dr. Neelu Rohmetra is the founder of the director of International Centre for Cross-Cultural Research and Human Resource Management (ICccR and HRM).

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Q:

abcdefghijklmnopqrstuvwxyz Riddle

What sentence contains all abcdefghijklmnopqrstuvwxyz?

Answer

The Quick Brown Fox Jumped Over The Lazy Dog is the sentence which contains all 26 alphabets i.e, from a to z.

Workspace

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