GATE Questions

Q:

A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work  ?

A) 8.7 hrs B) 5.2 hrs
C) 5 hrs D) 7.5 hrs
 
Answer & Explanation Answer: D) 7.5 hrs

Explanation:

Ratio of times taken by A and B = 160 : 100
A can do the work in 12 days
Let B can do the work in "D" days
=> 160:100 = 12 : D
=> D = 12 x 100/160 = 7.5 hrs

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Filed Under: Time and Work
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3 4794
Q:

Rishi bought 30 kg of sugar at the rate of Rs. 9 per kg and 45 kg of sugar at the rate of Rs. 10 per kg. He mixed both type of sugar and sold the mixture at the rate of Rs. 9.75 per kg. What was his gain or loss in the selling of whole sugar?

A) Rs. 10.75 B) Rs. 11.25
C) Rs. 12 D) Rs. 13.50
 
Answer & Explanation Answer: B) Rs. 11.25

Explanation:

Total quantity of sugar = 45 + 30 = 75

Gain or loss can be calculated as

9.75 x 75 - (30 x 9 + 45 x 10)

= 731.25 - 720

= 11.25

 

Hence, in the overall transaction, Rishi got Rs. 11.25 gain.

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Filed Under: Profit and Loss
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7 4791
Q:

Which number replaces 'x' in the below figure ?

k11483336561.jpg image

A) 2 B) 9
C) 11 D) 12
 
Answer & Explanation Answer: B) 9

Explanation:

k11483336735.jpg image

 

Here in 2nd column if you add the individual digits

 we get  3 + 7 + 0 =10 , 2 + 2 + 4 = 8 , 7 + 3 + 0 = 10

 

7   10   3  --> 7+3 =10

 

6   8     2  --> 6+2 =8

 

x   10   1  --> x+1 =10

 

Here we can observe that by adding 1st and 3rd column elements we get 2nd column elements

 --> x = 9

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Filed Under: Inserting The Missing Character
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49 4788
Q:

Dry ice is nothing but

A) Solid carbon dioxide B) Baking soda
C) Gaseous carbon dioxide D) Carbon monoxide
 
Answer & Explanation Answer: A) Solid carbon dioxide

Explanation:

dry-ice1531812120.jpg image

 

Dry ice is solid form of carbon dioxide, used as a cooling agent.

 

It lower temperature than that of water ice and not leave any residue.

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Filed Under: Chemistry
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5 4788
Q:

Which of these is NOT a lipid?

A) Wax B) Cholesterol
C) RNA D) Phospholipid
 
Answer & Explanation Answer: C) RNA

Explanation:

RNA is not a lipid among the given options.

 

A lipid is a substance of biological origin that is soluble in nonpolar solvents. It comprises a group of naturally occurring molecules that include fats, waxes, sterols, fat-soluble vitamins (such as vitamins A, D, E, and K), monoglycerides, diglycerides, triglycerides, and phospholipids.

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Filed Under: Biology
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4 4785
Q:

The composition of electrician solder is

A) lead-37%, tin-63% B) Iron-37%, tin-63%
C) lead-37%, Steel-63% D) Steel-37%, copper-63%
 
Answer & Explanation Answer: A) lead-37%, tin-63%

Explanation:
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6 4777
Q:

Express 0.875 and 0.375 as a Fraction.

A) 3/11 & 7/11 B) 7/9 & 9/13
C) 7/8 & 3/8 D) 7/9 & 9/11
 
Answer & Explanation Answer: C) 7/8 & 3/8

Explanation:

Given 0.875 and 0.375

0.875 ::

After decimal point there are 3 digits 875

Now, mutiply and divide 0.875 with 1000

0.875 x 10001000 = 8751000 Now, this can be reduced to fraction 78Therefore, 0.875 as fraction = 78

Similarly,

0.375 :: 

After decimal point there are 3 digits 375

Now, mutiply and divide 0.375 with 1000

0.375 x 10001000 = 3751000Now, this can be reduced to fraction 38Therefore, 0.375 as fraction = 38

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Filed Under: Decimal Fractions
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6 4774
Q:

How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 ft long and 4 ft wide ?

A) 9216 B) 10246
C) 12345 D) 7527
 
Answer & Explanation Answer: A) 9216

Explanation:

It takes four of those little squares -- each one 1/2 inch on a side -- to cover one square inch. That's because each one is 1/2 x 1/2, or 1/4 of a square inch.
In a rectangle that is 48 inches by 48 inches, there are 2304 square inches.(1 ft = 12 inches)
Since it takes 4 little squares to cover 1 sq inch, then it would need 2304 x 4 squares (1/2 inch on a side each) to cover a rectangle 4 feet by 4 feet.

That is 9,216 of those squares.

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Filed Under: Volume and Surface Area
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7 4774