GATE Questions

Q:

A person of good understanding knowledge and Reasoning power

A) Snob B) Expert
C) Literate D) Intellectual
 
Answer & Explanation Answer: D) Intellectual

Explanation:

The one word substitute for A person of good understanding knowledge and Reasoning power is Intellectual.

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9 8091
Q:

The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e always come together ?

A) 1/7 B) 8!
C) 7! D) 1/14
 
Answer & Explanation Answer: D) 1/14

Explanation:

The 8 letters can be written in 8! ways.
n(S) = 8!
Let E be the event that the letters b,c,d,e always come together when the first 8 alphabets are written down.
Now the letters a, (bcde), f, g and h can be arranged in 5! ways.
The letters b,c,d and e can be arranged themselves in 4! ways.
n(E) = 5! x 4!
Now, the required P(E) = n(E)/n(S) = 5! x 4!/8! = 1/14
Hence the answer is 1/14. 

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Filed Under: Probability
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15 8089
Q:

A motorboat goes 8 km an hour in still water, but takes thrice as much time in going the same distance against the current than going with the current. Then find the speed of the current?

A) 4 kmph B) 6 kmph
C) 3 kmph D) 2 kmph
 
Answer & Explanation Answer: A) 4 kmph

Explanation:

Let the speed of current = 'C' km/hr

 

Given the speed of boat in still water = 6 kmph

 

Let 'd' kms be the distance it covers.

 

According to the given data,

 

Boat takes thrice as much time in going the same distance against the current than going with the current

 

i.e, d8 - C = 3 × d8 + C

 

 24 - 3C = 8 + C 4C = 16 C = 4 kmph

 

Hence, the speed of the current C = 4 kmph.

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Filed Under: Boats and Streams
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9 8087
Q:

In a certain code DOWN is written as '5@9#' and NAME is written as '#6%3'. How is MODE written in that code ?

A) 6@53 B) %@53
C) 53%# D) %#35
 
Answer & Explanation Answer: B) %@53

Explanation:

From the given information :

D O W N A M E == 5 @ 9 # 6 % 3
MODE = %@53

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Filed Under: Coding and Decoding
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20 8085
Q:

A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is:

A) A gain of Rs. 27 B) A loss of Rs. 37
C) A loss of Rs. 27 D) A gain of Rs. 37
 
Answer & Explanation Answer: B) A loss of Rs. 37

Explanation:

As the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply the initial amount by 1.5 thrice and by 0.5 thrice (in any order).

The overall resultant will remain same.

So final amount with the person will be (in all cases):

64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)= Rs. 27

Hence the final result is: 

64 − 27 37

A loss of Rs.37

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Filed Under: Probability
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22 8082
Q:

30% of 500 rupees is?

A) Rs. 180 B) Rs. 150
C) Rs. 120 D) Rs. 240
 
Answer & Explanation Answer: B) Rs. 150

Explanation:

Given 30% of 500

= 30100 x 500= 30 x 5= 150

 

Hence, 30% of Rs. 500 = Rs. 150.

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Filed Under: Percentage
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19 8077
Q:

Which of these illustrates the Secondary Structure of a Protein?

chemistry1519110232.jpg image

A) A B) B
C) C D) D
 
Answer & Explanation Answer: B) B

Explanation:

The Secondary Structure of a Protein is option B)

 

The Secondary Structure of a Protein results from Hydrogen Bonds.

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Filed Under: Chemistry
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2 8065
Q:

640 ml of a mixture contains milk and water in ratio 6:2. How much of the water is to be added to get a new mixture containing half milk and half water ?

A) 360 ml B) 320 ml
C) 310 ml D) 330 ml
 
Answer & Explanation Answer: B) 320 ml

Explanation:

Here total parts of milk and water in the solution is 6+2 = 8 parts.

1part = 640/8 = 80

 

old mixture contains 6parts of milk and 2 parts of water(6:2).

 

To get new mixture containing half milk and half water, add 4parts of water to the old mixture then 6:(2+4) to make the ratio same.

i.e, 4 x 80 = 320 ml.

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Filed Under: Alligation or Mixture
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