GATE Questions

Q:

The purest form of iron is 

A) wrought iron B) steel
C) pig iron D) nickel steel
 
Answer & Explanation Answer: A) wrought iron

Explanation:

Wrought Iron is the purest form of iron. It contains 0.12 to 0.25% carbon and so it is the purest form of iron.

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Filed Under: Chemistry
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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180 41228
Q:

Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?

A) 20 B) 30
C) 40 D) 50
 
Answer & Explanation Answer: C) 40

Explanation:

The fruit content in both the fresh fruit and dry fruit is the same.

 

Given, fresh fruit has 68% water.so remaining 32% is fruit content. weight of fresh fruits is 100kg

 

Dry fruit has 20% water.so remaining 80% is fruit content.let weight if dry fruit be y kg.

 

Fruit % in freshfruit = Fruit% in dryfruit 

 

Therefore, (32/100) x 100 = (80/100 ) x y 

 

we get, y = 40 kg.

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274 41182
Q:

A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?

A) 1/4 B) 1/2
C) 3/4 D) 7/12
 
Answer & Explanation Answer: C) 3/4

Explanation:

Let A, B, C be the respective events of solving the problem and A , B, C be the respective events of not solving the problem. Then A, B, C are independent event

A, B, C are independent events

Now,  P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4

 PA=12, PB=23, PC= 34

 P( none  solves the problem) = P(not A) and (not B) and (not C)  

                  = PABC 

                  = PAPBPC          A, B, C are Independent                       

                  =  12×23×34  

                  = 14  

Hence, P(the problem will be solved) = 1 - P(none solves the problem) 

                = 1-14= 3/4

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87 34898
Q:

Fastest Shorthand Writer was

A) Dr. G. D. Bist B) J.R.D. Tata
C) J.M. Tagore D) Khudada Khan
 
Answer & Explanation Answer: A) Dr. G. D. Bist

Explanation:

Dr. G. D. Bist, Guinness Record Holder, the first-ever Ph.D. in Stenography in the world.

 

He had achieved a highest speed of 250 w.p.m. in Shorthand.

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77 33088
Q:

Which of the following is a Trans- Himalayan river?

A) Ganga B) Yamuna
C) Indus D) Ravi
 
Answer & Explanation Answer: C) Indus

Explanation:

Two sub groups of Himalayan Rivers are Trans Himalayan Rivers and Himalayan Rivers.

  • Trans Himalayan Rivers :

These rivers originate beyond the Himalayas. They are The Indus, The Sutlej and The Brahmaputra Rivers.

 

  • Himalayan Rivers :

These are the rivers originate from Himalayas. They are The Ganga, The Yamuna and their tributaries.

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211 29103
Q:

A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre still he mixes 2 litres water with every 6 litres of pure milk. What is the profit percentage?

A) 116% B) 166.66%
C) 60% D) 100%
 
Answer & Explanation Answer: B) 166.66%

Explanation:

Let the cost price of 1-liter pure milk be Re.1, then 

 6 liters (milk)   C.P = Rs. 62 liters (water)  C.P = Rs. 0CP = Rs.6 only

 

8 litre mixture  =>

SP =>  8 x 2 = Rs. 16

 

Profit % = 16 - 66x100 = 10006 = 166.66%

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156 23867
Q:

What was the day of the week on 17th June, 1998 ?

A) Monday B) Tuesday
C) Wednesday D) Friday
 
Answer & Explanation Answer: C) Wednesday

Explanation:

17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)
Odd days in 1600 years = 0
Odd days in 300 years = 1
97 years has 24 leap years + 73 ordinary years.
Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.
Jan. Feb. March. April. May. June.
(31 + 28 + 31 + 30 + 31 + 17) = 168 days
168 days = 24 weeks = 0 odd day.
Total number of odd days = (0 + 1 + 2 + 0) = 3.
Given day is Wednesday.

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19 8975
Q:

Study the given bar graph and pie chart to answer the following questions.

The bar graph shows the production (in thousand tonnes) of Wheat, Rice and Maize in different states.

The pie-chart shows the percentage of agricultural land in the given six states.

Productivity = 

1.The productivity of which state is the maximum ?

1. Bihar       2. Haryana     3. Punjab     4. UP       5. MP

 

2.The production of which state is the maximum ?

1. Bihar       2. MP         3. Haryana       4. UP       5. Punjab

 

3.The prodution of wheat in punjab is what per cent more than the production of Maize in odisha ?

1. 350%       2. 250%       3. 300%       4. 200%       5. 400%

 

4.What is the ratio of the production of Rice in Bihar to the production of Wheat in Haryana ?

1. 2:3           2. 3:2           3. 2:1           4. 1:1             5. 1:2

 

5.If MP exports 40% of Rice at the rate of Rs.30 per kg and UP exports 30% of Rice at the rate of Rs.32 per kg, then what is the ratio of the income from the exports ?

1. 65:48       2. 31:42       3. 43:54       4. 57:62       5. 1:2

Answer

1. Answer : 2


Explanation : Productivity = Total production/area of Agr.land 


Productivity of UP = [ (35000+30000+25000) / (30/100) ] = 300000  


Productivity of MP = [ (30000+37500+27500) / (25/100) ] = 380000  


Productivity of Bihar = [ (22500+27500+25000) / (20/100) ] = 375000 


Productivity of Odisha = [ (22500+15000+10000) / (5/100) ]= 950000  


Productivity of Haryana = [ (30000+25000+35000) / (8/100) ] = 1125000  


Productivity of Punjab = [ (40000+35000+30000) / (12/100) ] = 875000 


The Productivity of Haryana is the maximum.  


 


 


2. Answer : 5  


Explanation : Production of Punjab is maximum = 105000 tonnes 


 


 


3. Answer : 3 


Explanation : Production of Wheat in Punjab = 40000 tones


Production of Maize in Odisha = 10000 tones


Required % = (40000 - 10000)/100 = 300% 


 


 


4. Answer : 4 


Explanation : The ratio of prodution of Rice in Bihar to the production of Wheat in Haryana = 25000 tonnes : 25000 tonnes = 1 : 1  


 


 


5. Answer : 1  


Explanation : Income of MP from export of 40% of Rice at the rate of Rs.30 per kg = Rs.39crore


Income of UP from export of 30% of Rice at the rate of Rs.32 per kg = Rs.28.8 crore 


Required ratio = 39 : 28.8 = 390 : 288 = 65 : 48

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