GATE Questions

Q:

A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained ?

A) 5:3 B) 1:4
C) 4:1 D) 9:1
 
Answer & Explanation Answer: D) 9:1

Explanation:

Milk = 3/5 x 20 = 12 liters, water = 8 liters

 

If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.

 

Remaining milk = 12 - 6 = 6 liters

Remaining water = 8 - 4 = 4 liters

 

10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.

 

The ratio of milk and water in the new mixture = 16:4 = 4:1

 

If the process is repeated one more time and 10 liters of the mixture are removed,
then amount of milk removed = 4/5 x 10 = 8 liters.

 

Amount of water removed = 2 liters.

 

Remaining milk = (16 - 8) = 8 liters.

Remaining water = (4 -2) = 2 liters.

 

Now 10 lts milk is added => total milk = 18 lts

 

The required ratio of milk and water in the final mixture obtained

 

= (8 + 10):2 = 18:2 = 9:1.

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Filed Under: Alligation or Mixture
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53 37220
Q:

Which number replaces the '?' in the given series

108, 127, 2413, 2430, 41310, ?, 619875 

A) 41975 B) 41325
C) 84375 D) 41365
 
Answer & Explanation Answer: B) 41325

Explanation:

The given series follows a pattern of +19, x19, +17, x17, +15, x15,...

Here the number which is to be replaced in ? is

41310+15=41325.

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Filed Under: Number Series
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14 37123
Q:

Convent : Cloister :: Eyrie : ?

A) Show B) Open
C) Hide D) Nest
 
Answer & Explanation Answer: D) Nest

Explanation:

Here the first two words are synonyms. Similarly, Eyrie means a large nest. So, the synonym of Eyrie is nest.

 

Hence, Convent : Cloister :: Eyrie : Nest.

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Filed Under: Analogy
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22 36281
Q:

How many times can you subtract 10 from 100?

A) 9 times B) 10 times
C) 1 time D) 0 times
 
Answer & Explanation Answer: C) 1 time

Explanation:

How many times can you subtract 10 from 100, for this if we go through logically, it is only 1 time. For the first time if we subtract 10 from 100, then there will no 100 to subtract from.

 

Hence, it is only 1 time we can subtract 10 from 100.

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69 36001
Q:

What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%   ?

A) 30 % B) 25 %
C) 15 % D) 20 %
 
Answer & Explanation Answer: D) 20 %

Explanation:

SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80

SP1 = 120
100 --- 20   => 20%

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Filed Under: Profit and Loss
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97 35972
Q:

Next number in the given series is

9 7 10 6 11 ?

A) 5 B) 4
C) 13 D) 15
 
Answer & Explanation Answer: A) 5

Explanation:

The given number series is 9 7 10 6 11 ?

Here in this we have two number sequences, they are

9, 10, 11, ... and 7, 6, 5, ...

Hence, the next number in the given number series is 6 - 1 = 5.

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Filed Under: Number Series
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3 35739
Q:

Wellington Trophy is related to which game ?

A) Rowing B) Hockey
C) Tennis D) Polo
 
Answer & Explanation Answer: A) Rowing

Explanation:

Rowing is the game to which Wellington Trophy is related to. In this participants will be in race in rivers.

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Filed Under: Sports
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125 34792
Q:

A F Z U G L T _ 

Find the next letter in the above given letter series?

A) K B) M
C) O D) Q
 
Answer & Explanation Answer: C) O

Explanation:

Given series is A F Z U G L T _

Starts with A

A + 5 letters = F

go to end of alphabet= Z

Z - 5 letters = U

from F go one more to G + 5 letters = L

from U go one back to U, T - 5 letters = O

 

Second Method ::

Change the letters to their corresponding number.

A=1

B=2

C=3

...

Z=26

A F Z U G L T _

1 6 26 21 7 12 20 ?

Look at the pattern: the 1st and 3rd numbers = 27, 1+26

the 2nd and 4th numbers = 27, 6+21

the 5th and 7th numbers = 27,

so the 6 and 8th would also equal 27.

27 - 12 = 15,

so the letter is O.

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75 34762