GATE Questions

Q:

When Raj Tarun was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Raj Tarun's brother is 6 years older than Raj Tarun and his mother is 3 years younger than his father, how old was Raj Tarun's sister when Raj Tarun was born ?

A) 5 B) 10
C) 15 D) 8
 
Answer & Explanation Answer: B) 10

Explanation:

Raj Tarun's age = 0 when he was born.
Then, given his brother is 6 years old.
Then his father is 6 + 32 = 38 when Raj Tarun was born
And his mother is 3 years yonger than his father => so his mother was 35 years old when Raj Tarun was born
and his sister is 25 year younger than his mother
so Raj Tarun's sister was 10 years old when Raj Tarun was born.

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Filed Under: Problems on Ages
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12 9873
Q:

K can build a wall in 30 days. L can demolish that wall in 60 days. If K and L work on alternate days, when will the wall be completed ?

A) 120 days B) 119 days
C) 118 days D) 117 days
 
Answer & Explanation Answer: D) 117 days

Explanation:

K's work in a day(1st day) = 1/30
L's work in a day(2nd day)= -1/60(demolishing)
hence in 2 days, combined work= 1/30 - 1/60 =1/60
since both works alternatively, K will work in odd days and L will work in even days.
1/60 unit work is done in 2 days
58/60 unit work will be done in 2 x 58 days = 116 days
Remaining work = 1-58/60 = 1/30
Next day, it will be K's turn and K will finish the remaining 1/30 work.
hence total days = 116 + 1 = 117.

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Filed Under: Time and Work
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13 9865
Q:

Orlon is a polymer of

A) Dacron B) Acrylonitrile
C) Polyamide Nylon D) None of the above
 
Answer & Explanation Answer: B) Acrylonitrile

Explanation:

The monomeric unit of orlon polymer is Acrylonitrile. Orlon is also known as Polyacrylonitrile (PAN). 

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Filed Under: Chemistry
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19 9862
Q:

45 men working 9 hours per day dig 40 m deep. How many extra men should be put to dig to a depth of 56 m working 7 hours per day ?

A) 36 B) 61
C) 48 D) 54
 
Answer & Explanation Answer: A) 36

Explanation:

(45 x 9)/40 = (M x 7)/56 => M = 81

=> 81 – 45 = 36

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Filed Under: Time and Work
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6 9860
Q:

Cassock : Priest :: ? : Graduate

A) Gown B) Tie
C) Cap D) Coat
 
Answer & Explanation Answer: A) Gown

Explanation:

A Christian Priest wears cassock while a Graduate wears gown.

 

Hence, Cassock : Priest :: Gown : Graduate.

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Filed Under: Analogy
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5 9850
Q:

A drink vendor has 368 liters of Maaza, 80 liters of Pepsi and 144 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required ?

A) 47 B) 46
C) 37 D) 35
 
Answer & Explanation Answer: C) 37

Explanation:

The number of liters in each can = HCF of 80, 144 and 368 = 16 liters.
Number of cans of Maaza = 368/16 = 23
Number of cans of Pepsi = 80/16 = 5
Number of cans of Sprite = 144/16 = 9
The total number of cans required = 23 + 5 + 9 = 37 cans.

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Filed Under: HCF and LCM
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31 9843
Q:

Which of the following is the longest river in India?

A) Godavari B) Ganga
C) Yamuna D) Brahmaputra
 
Answer & Explanation Answer: B) Ganga

Explanation:

India is a land of rivers. Rivers are generally treated as mothers and almost every major river of India has a legend regarding its origin.

 

The Ganges or Ganga is the longest river of India, if we consider the total distance covered by a river within India. Two major rivers of the Indian subcontinent – Brahmaputra and Indus – are though longer than the Ganges, but the distances these two rivers cover within India are much shorter than that of the Ganges.

The Ganges is the most sacred river to the Hindus. The Ganges originates from Gangotri Glacier (Uttarakhand). The total length that the Ganges covers during its journey is 2,525 kilometers (1569 miles) before it discharges in the Bay of Bengal.

 

The Godavari, also known as 'Dakshin Ganga' – the South Ganges, is the second longest river of India. It originates from Triambakeshwar, Nasik (Maharashtra), and travels through Chhattisgarh, Telangana and Andhra Pradesh, before discharging into Bay of Bengal.

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Filed Under: Indian Geography
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9 9813
Q:

What steps do you follow to study a problem before making a decision ?

Answer

The interviewer wants to know that you don't just jump into a solution without knowing the problem in detail. You want to study the problem by determining the cause of the problem, what the problem is, and what the possible solutions are. You then decide on a solution.

Following steps for problem-solving and decision-making can be very helpful.

- Define the problem to be solved and decision to be made.
- Gather the necessary information.
- List all possible choices.
- Consider possible outcomes for each choice.
- Check out how you feel about each of the choices.
- Relate the choices to your values and priorities.
- From the possible alternatives, choose one.
- Commit yourself to your chosen decision and disregard the others. Concentrate your energies   in one direction. Once we made our decision, we must focus all our work on that itself.
- Take steps to turn your decision into positive action.
- Evaluate your progress from time to time. Change your decision if necessary.

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54 9802