GATE Questions

Q:

There are five bags. In the first bag we put some fruits. Each bag the number of fruits is reduced by 1/4. The last bag contains 4. Then the number of fruits in the first bag is ?

A) 2596 B) 1024
C) 256 D) 64
 
Answer & Explanation Answer: B) 1024

Explanation:

Fruits reduced by 1/4.
Total no. of bags N = 5
Formula to find no. of fruits in 1st bag = 4^n
Last Bag = 4 fruits.
That means, 4th bag = 4 x 4 = 16 fruits
3rd bag = 16 x 4 = 64 fruits
2nd bag = 64 x 4 = 256 fruits
1st bag = 256 x 4= 1024 fruits.

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Filed Under: Arithmetical Reasoning
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Q:

If P is 140, which is 40% more than Q, then 3/25 of Q is

A) 9 B) 12
C) 18 D) 24
 
Answer & Explanation Answer: B) 12

Explanation:

From the given data,

P = 140

But it is given that,

40% of Q + Q = 140 = P

=> Q + [40Q/100] = 140

=> [100Q + 40Q]/100 = 140

=> 140Q = 140 x 100

=> Q = 100

Now,

 3/25 of Q 

= (3/25) x 100

= 3 x 4 

= 12 

 

Required 3/25 of Q  = 12.

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Filed Under: Percentage
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25 5353
Q:

I am an 8 letter word.

First 4 is the question.

2, 3, 4 protects our head.

5, 6, 7 IT company name.

7 & 8 are the same letters.

Who am I?

Answer

That 8 letter word is Whatsapp (a messenger app)


First four letters:   WHAT a question
 
Letters 2,3,4:     HAT protects our head

Letters 5,6,7:   SAP an IT company

Letters 7,8:    PP same.

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9 5348
Q:

Marked price of an article is 1600 Rs. more than the cost price. When the same article is sold at a discount of Rs. 500 then the percent profit earned is 25%. For earning a profit of 30%, the article should be sold at what price?

A) 5740 B) 5720
C) 5620 D) 5730
 
Answer & Explanation Answer: B) 5720

Explanation:

Ans. B.
According to the question ,
Marked Price = 1600 + Cost price - (i)
MP – 500 = 125/100 * CP - (ii)
MP = 5/4 CP + 500 - (ii)
4MP = 5CP + 2000 -(ii)
Solving (i) and (ii)
Cost Price = 4400
Now , the selling price
= 130/100 * 4400
= 5720

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Filed Under: Profit and Loss
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1 5346
Q:

Pointing to a photograph, a woman says, "This man's son's sister is my mother-in-law." How is the woman's husband related to the man in the photograph ?

A) son B) nephew
C) grandson D) son-in-law
 
Answer & Explanation Answer: C) grandson

Explanation:

Man's son's sister---Man's daughter.
So, the man's daughter is the mother of the woman's husband. Thus, the woman's husband is the grandson of the man in the photograph.

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Filed Under: Blood Relations
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6 5342
Q:

I learnt from my experience that by______ my anger and resentment, and by avoiding _________ I could overcome opponents more successfully than could those who openly defied their adversaries.

A) suppressing, conflict B) expressing, hostility
C) stifling, temperance D) rousing, wrath
 
Answer & Explanation Answer: A) suppressing, conflict

Explanation:
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Filed Under: Analogy
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Q:

40% of 80?

A) 36 B) 32
C) 42 D) 44
 
Answer & Explanation Answer: B) 32

Explanation:

Here 40% of 80 is given as

40100 x 80 = 8 x 4 = 32

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Filed Under: Percentage
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7 5335
Q:

Three friends Rudra, Siva and Anvesh start to run around a circular stadium. They complete a revolution in 24, 36 and 30 seconds respectively. After how many minutes will they meet at the starting point ?

A) 60 B) 120
C) 360 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:

For this we have to find the LCM of 24, 36 and 30

LCM of 24, 36 and 30 = 360 sec

360/60 min = 6 minutes.

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Filed Under: Time and Distance
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