GATE Questions

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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335 48488
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
Job Role: Analyst , Bank Clerk , Bank PO

226 48184
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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112 42103
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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132 38526
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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Filed Under: Indian Geography
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236 33226
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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163 26587
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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30 12251
Q:

If selling price is doubled, the profit triples. Find the profit percent ?

A) 100% B) 200%
C) 300% D) 400%
 
Answer & Explanation Answer: A) 100%

Explanation:

Let the C.P be Rs.100 and S.P be Rs.x, Then
The profit is (x-100)
Now the S.P is doubled, then the new S.P is 2x
New profit is (2x-100)
Now as per the given condition;
=> 3(x-100) = 2x-100
By solving, we get
x = 200
Then the Profit percent = (200-100)/100 = 100
Hence the profit percentage is 100%

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