GATE Questions

Q:

12 students of class IX took part in GK quiz. If the number of boys is 4 more than the number of girls. Find the number of boys and girls took part in the quiz ?

A) 7, 5 B) 9, 3
C) 8, 4 D) 6, 6
 
Answer & Explanation Answer: C) 8, 4

Explanation:

Let the number of girls = x

=> x + x + 4 = 12

=> 2x = 8

=> x = 4

=> Number of girls = 4

=> Number of boys = 4 + 4 = 8

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Filed Under: Problems on Numbers
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Q:

Which of the following is / are fund managers for National Pension System (NPS) in 2017 ?

A) Axis provident fund B) Yes bank pension fund
C) ICICI prudential pension D) Punjab National provident fund
 
Answer & Explanation Answer: C) ICICI prudential pension

Explanation:

At present in 2017, there are only seven NPS fund managers viz. HDFC Pension Fund, ICICI Prudential Pension, Kotak Pension Fund, LIC Pension Fund,  Reliance Capital Pension, SBI Pension Fund and UTI Retirement Solutions.

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Q:

Agra and Delhi are 160 km apart. A train leaves Agra for Delhi and at the same time another train leaves Delhi for Agra. Both the trains meet 5 hrs after they start moving. If the train travelling from Agra to Delhi travels 6 km/hr faster than the other train, find the speed of the faster train? 

A) 19 kmph B) 13 kmph
C) 7 kmph D) 9 kmph
 
Answer & Explanation Answer: A) 19 kmph

Explanation:

Let the speed of the slower train = p kmph

ATQ,

Speed of the faster train = (p + 6) kmph

Then,

(p + p + 6) x 5 = 160

10p + 30 = 160

10p = 130

p = 13 kmph

Then, speed of the faster train = p + 6 = 13 + 6 = 19 kmph.

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Filed Under: Problems on Trains
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Q:

A bucket contains a mixture of two liquids A and B in the proportion 7: 5. If 9 litres of the mixture is replaced by 9 litres of liquid B, then the ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket ?

A) 21 litres B) 15 litres
C) 23 litres D) 18 litres
 
Answer & Explanation Answer: A) 21 litres

Explanation:

Suppose the two liquids A and B are 7x litres and 5x litres respectivel Now, when 9 litres of mixture are taken out,

Now, when 9 liters of liquid B are added

 

 

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Filed Under: Alligation or Mixture
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Q:

2/3 as a decimal

A) 0.47 B) 6.77
C) 0.67 D) 0.07
 
Answer & Explanation Answer: C) 0.67

Explanation:

To convert a fraction into decimal, just take the number on top which we called the numerator and divide it by the number at the bottom which we called the denominator.

2/3

How it comes :

÷ 0 bring down the decimal point.

20 ÷ 6 and carry the remainder 2 to make 20

20 ÷ 6 and carry the remainder 2 to make 20

20 ÷ 6 and carry the remainder 2 to make 20

etc...

This gives the recurring decimal 0.6666...

If we round off to two decimals , then it becomes 0.67.

 

Hence, decimal fraction of 2/3 = 0.67.

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Q:

What is the chemical name for vitamin A?

A) Retinol B) Riboflavin
C) Thiamine D) Niacin
 
Answer & Explanation Answer: A) Retinol

Explanation:

Vitamin A is a group of unsaturated nutritional organic compounds that includes retinol, retinal, retinoic acid, and several provitamin A carotenoids.

IUPAC Name :: (2E,4E,6E,8E)-3,7-dimethyl-9-(2,6,6-trimethylcyclohexen-1-yl)nona-2,4,6,8-tetraen-1-ol

 

Vitamin Name - Chemical Name

Vitamin A   -     Retinol

Vitamin B1  -    Thiamine

Vitamin B2  -    Riboflavin

Vitamin B3  -    Niacin

Vitamin B5  -    Pantothenic acid

Vitamin B6  -    Pyridoxin

Vitamin B7  -    Biotin

Vitamin B9  -    Folic acid

Vitamin B12  -   Cyanocobalamin

Vitamin C     -   Ascorbic acid

Vitamin D     -   Calciferol

Vitamin E      -   Tocoferol

Vitamin K      -   Phylloquinone and Menaquinones

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Filed Under: General Science
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Q:

A number when subtracted by 1/7 th of itself gives the same value as the sum of all the angles of a triangle. What is the number?

A) 420 B) 210
C) 70 D) 35
 
Answer & Explanation Answer: B) 210

Explanation:

Let the required number be 'p'

We know, sum of angles in a triangle are 180 deg

According to given data,

p - p/7 = 180

7p - p = 180 x 7

=> 6p = 1260

=> p = 1260/6 = 210

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Filed Under: Problems on Numbers
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Q:

A disaccharide is formed by the chemical bonding of

A) two monosaccharides B) two polysaccharides
C) one monosaccharide and one polysaccharide D) All the above
 
Answer & Explanation Answer: A) two monosaccharides

Explanation:

Disaccharides are formed when two monosaccharides join together by the dehydration synthesis reaction resulting in a glycosidic bond between the two monosaccharide molecules. The reaction produces water as a side product.

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Filed Under: Chemistry
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