GATE Questions

Q:

What was the day on 15th august 1947 ?

A) Friday B) Saturday
C) Sunday D) Thursday
 
Answer & Explanation Answer: A) Friday

Explanation:

15 Aug, 1947 = (1946 years + Period from 1.1.1947 to 15.8.1947)

15th_August_1947_day1534219857.jpg image

 

Odd days in 1600 years = 0 

 

Odd days in 300 years = 1

 

46 years = (35 ordinary years + 11 leap years) = (35 x 1 + 11 x 2)= 57 (8 weeks + 1 day) = 1 odd day 

 

Jan.   Feb.   Mar.   Apr.   May.   Jun.   Jul.   Aug 

 

( 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 ) = 227 days = (32 weeks + 3 days) = 3 odd days.

 

Total number of odd days = (0 + 1 + 1 + 3) = 5 odd days. 

 

 

Hence, as the number of odd days = 5 , given day is Friday.

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1919 250777
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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214 63790
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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515 63166
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
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405 61719
Q:

Which river of India is called Vridha Ganga?

A) Krishna B) Godavari
C) Kaveri D) Narmada
 
Answer & Explanation Answer: B) Godavari

Explanation:

Godavari, India's second longest river after the river Ganga and is one among the peninsular rivers.

 Which_river_of_India_is_called_Vridha_Ganga1545973278.jpg image

 

The river Godavari is often referred to as Vridha Ganga because of its large size and extent among the peninsular rivers.

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Filed Under: Indian Geography
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194 52076
Q:

The working principle of a washing machine is

A) reverse osmosis B) diffusion
C) centrifugation D) dialysis
 
Answer & Explanation Answer: C) centrifugation

Explanation:

The working principle of a washing machine is centrifugation.

The_working_principle_of_a_washing_machine_is1542349278.jpg image

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Filed Under: Physics
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255 50358
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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301 49774
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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290 42075