GATE Questions

Q:

Statements :
All keys are locks.
All locks are bangles.
All bangles are cars.


Conclusion :
a. Some cars are locks.
b. Some bangles are keys.
c. Some cars are keys.

A) Only a follows B) Only c follows
C) Only a & b follows D) a, b & c follows
 
Answer & Explanation Answer: D) a, b & c follows

Explanation:

All locks are bangles + All bangles are cars = A + A = A
= All locks are cars => Some cars are locks.
Hence conclusion (a) follows.
All keys are locks + All locks are bangles = A + A = A
= All keys are bangles => some bangles are keys.
Hence conclusion (b) follows.
All keys are bangles + All bangles are cars = A + A = A
= All keys are cars => Some cars are keys.
Hence conclusion (C) follows.

 

 

 

Thus all a, b and c follows.

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Filed Under: Statement and Conclusions
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3 12776
Q:

A number, when 35 is subtracted from it, reduces to its 80 percent. What is four - fifth of that number  ?

A) 175 B) 140
C) 135 D) 95
 
Answer & Explanation Answer: B) 140

Explanation:

x - 35 = 80x/100 

=> x = 175 

=> 4x/5 = 4x175/5 = 140.

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Filed Under: Percentage
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18 12771
Q:

In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture?

A) 1:1 B) 2:1
C) 3:1 D) 1:2
 
Answer & Explanation Answer: A) 1:1

Explanation:

Quantity of alohol in the mixture = 40 x 5/8 = 25 lit

Quantity of water = 40 - 25 = 15 lit

According to question,

Required ratio = 20 - 40 x 20100 x 5815 - 40 x 20100 x 38 + 40 x 20100 = 2015 - 3 + 8 = 1 : 1

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Filed Under: Alligation or Mixture
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27 12764
Q:

The default header for a worksheet is

A) The date and time B) User name
C) Date & Time D) None of the above
 
Answer & Explanation Answer: D) None of the above

Explanation:

MS Excel is the widely used worksheet in computer applications. We can add what we want in the header and footer of MS Excel sheets.

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Filed Under: Computer
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17 12754
Q:

Following the same logic, crack this mathematical puzzle ?

 

A) 4 B) 2
C) 1 D) 3
 
Answer & Explanation Answer: C) 1

Explanation:

The answer here is 1.

 

Logic Followed in the given puzzle ::

 

The logic here is the number of circles in each 4 digit number mentioned.

8801 has 5

5261 has 1

and so on

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Filed Under: Math Puzzles
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15 12749
Q:

The ratio of Pens and Pencils in a shop is 3 : 2 respectively. The average number of Pens and Pencils is 180. What is the number of Pencils in the shop? 

A) 444 B) 344
C) 244 D) 144
 
Answer & Explanation Answer: D) 144

Explanation:

Given ratio of pens and pencils = 3 :2

Number of Pens = 3x

Number of Pencils = 2x

Average number of pencils & Pens = 3x + 2x2 = 180

5x = 360

=> x = 72


Hence, the number of pencils = 2x = 72 x 2 = 144.

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Filed Under: Ratios and Proportions
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34 12722
Q:

How is my father's brother's only sibling's mother related to my sister's only brother ?

A) Neice B) Aunt
C) Mother D) Grand-mother
 
Answer & Explanation Answer: D) Grand-mother

Explanation:

My father's brother's only sibling is my father. My father's mother is my grandmother. My sister's only brother is myself. So she is my Grandmother.

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Filed Under: Blood Relations
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14 12685
Q:

Which is the gas used for making vegetables and vanaspathi from vegetable oils?

A) Hydrogen B) Nitrogen
C) Argon D) Helium
 
Answer & Explanation Answer: A) Hydrogen

Explanation:

Hydrogen gas is used for making vegetables and vanaspathi from vegetable oils.

As it is colourless, odourless, tasteless, flammable gaseous substance, it is added to oils to make them more solid or spreadable.

The use of hydrogenation helps to prolong the shelf life of the food and maintain flavour stability.

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Filed Under: Chemistry
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25 12606