GATE Questions

Q:

Bruise is to Fall as Bump is to

A) Lump B) Knock
C) Limp D) Wound
 
Answer & Explanation Answer: B) Knock

Explanation:

After falling it bruises, similarly after knocking it bumps.

 

Hence, Bruise : Fall :: Bump : Knock.

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Filed Under: Analogy
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19 20021
Q:

A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast ?

A) 7500 B) 6200
C) 5600 D) 4700
 
Answer & Explanation Answer: A) 7500

Explanation:

Let the candidates be A & B
35%-----------A
65%-----------B

Difference of votes (65-35)% = 30%

=>          30% ------- 2250
Then for 100% -------- ?     => 7500

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Filed Under: Percentage
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25 19897
Q:

A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 15%, he is only able to save Rs. 400 per month. What is his monthly salary ?

A) Rs. 6000 B) Rs. 4500
C) Rs. 5000 D) Rs. 6500
 
Answer & Explanation Answer: C) Rs. 5000

Explanation:

Income = Rs. 100

Expenditure = Rs. 80

Savings = Rs. 20

Present Expenditure 80x(15/100) = Rs. 12 = 80 + 12 = Rs. 92

Present Savings = 100 – 92 = Rs. 8

100 ------ 8
? --------- 400 => 5000

His salary = Rs. 5000

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Filed Under: Profit and Loss
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24 19866
Q:

Find the quadratic equations whose roots are the reciprocals of the roots of 2x2+5x+3?

A)  3x2+5x+2=0   

B) 5x2+3x+2=0 

C) 3x2-5x-2=0   

D)  None



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

Explanation:

The quadratic equation whose roots are reciprocal of 2x2+5x+3=0 can be obtained by replacing x by 1/x.

 

Hence, 2(1/x)(1/x)+ 5(1/x) + 3 = 0

 

=> 3x2+5x+2=0

 

 

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Filed Under: Mathematical Operations
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72 19864
Q:

An employee may claim Rs. 7.00 for each km when he travels by taxi and Rs. 6.00 for each km if he drives his own car. If in one week he claimed Rs. 595 for traveling 90 km. How many kms did he travel by taxi ?

A) 55 kms B) 35 kms
C) 25 kms D) 65 kms
 
Answer & Explanation Answer: A) 55 kms

Explanation:

Let x and y be the respective km's travelled by man via taxi and by his own car.
Given x + y = 90 => x = 90 - y
But according to the question,
7x + 6y = 595
7(90-y) + 6y = 595
=> 630 - 7y + 6y = 595
=> y = 630 - 595 = 35
=> x = 90 - 35 = 55
Therefore, the distance travelled by taxi is 55 kms.

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Filed Under: Time and Distance
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24 19830
Q:

A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in evaluation ?

A) 52% B) 64%
C) 84% D) 77%
 
Answer & Explanation Answer: C) 84%

Explanation:

Let the number be 'x'

 

Then, according to the given data,

 52x-25x52xx100

 

2125x100

 

= 84%

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Filed Under: Percentage
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14 19794
Q:

Find the next number in the given number sequence

200, 200, 100, 300, 75, ?

A) 150 B) 175
C) 250 D) 375
 
Answer & Explanation Answer: D) 375

Explanation:

The given number series is 200, 200, 100, 300, 75, ?

It follows a pattern that,

200

200 x 1 = 200

200 / 2 = 100

100 x 3 = 300

300 / 4 = 75

75 x 5 = 375

 

Hence, the next number in the given number sequence is 375.

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Filed Under: Number Series
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12 19777
Q:

Statement :

The byproducts obtained from animals such as hairs, skins, horns, etc. contain at least 45 per cent food protein. Indian scientists have developed methods to segregate 50 per cent of this protein. They have used an enzyme developed in Russia for destruction of soya-proteins.

Conclusions:

A. Indian scientists cannot develop enzymes.

B. If a suitable method involving less cost is developed then many more food protein would be obtained.

A) Only A follows B) Only B follows
C) Neither A nor B follows D) Both A & B follows
 
Answer & Explanation Answer: C) Neither A nor B follows

Explanation:

There is no indication that Indian scientists are incapable of developing enzymes. There could be any number of reasons why Indian scientists used Russian enzymes.

So conclusion A does not follow.

In addition, cost is not discussed in the passage at all. There is no mention of a correlation between cost and extraction of proteins.

Thus, conclusion B does not follow either.

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Filed Under: Statement and Conclusions
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4 19685