GATE Questions

Q:

The first stage in the formation of coal is

A) Lignite B) Bituminous
C) Anthracite D) Peat
 
Answer & Explanation Answer: D) Peat

Explanation:

The first of the four stages of coal formation is lignite coal.

 

There are four stages of coal formation:

 

1. Peat,

 

2. Lignite,

 

3. Bituminous and

 

4. Anthracite.

The bacteria has removed a large portion of the other constituents of the plant matter and left around 25 to 34 percent.

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8 4745
Q:

The average age of Vishal and Raghavendra is 24 years. If a new person Veerender is also included, the average age is increased by 1.5 years. What is the age of Veerender?

A) 28.5 yrs B) 29.5 yrs
C) 30.5 yrs D) 27 yrs
 
Answer & Explanation Answer: A) 28.5 yrs

Explanation:

According to the given data,

(V + R)/2 = 24

Now, after joining of Veerender,

V + R + D)/3 = 25.5

Hence, Veerender Age = 3(25.5) - 2(24) = 76.5 - 48 = 28.5 years.

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3 4740
Q:

There are several peacocks and deers in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many peacocks are there, and how many deers ?

A) 42 & 24 B) 38 & 26
C) 36 & 24 D) 44 & 28
 
Answer & Explanation Answer: D) 44 & 28

Explanation:

Let
x = peacocks
y = deers

2x + 4y = 200
x + y = 72
y = 72 - x
2x + 288 - 4x = 200
x = 44 peacocks
y = 28 deers

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5 4732
Q:

In how many ways can letter of the word RAILINGS arrange so that R and S always come together?

A) 1260 B) 2520
C) 5040 D) 1080
 
Answer & Explanation Answer: C) 5040

Explanation:

The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is

 

Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2!

 

But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.

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7 4728
Q:

Dhoni ,Raina ,Kohli and Sikhar have all played 5 innings each and each scored 131 runs.The players Score Card is given below : 100,90,85,80,30,25,20,20,15,15,10,10,10,3,3,3,2,1,1,1.

 Given hints are:

 1. Dhoni & Raina have scored different runs in 4 innings however in one innings they have scored same runs.

2. Shikhar & Kohli have also scored different runs in 3 innings however their indivitual score is same throughout 2 innings(meaning each has scored same run twice in 2 innings). 

3. Shikhar's highest score is greater than that of Kohli's highest score.

4. Only Shikhar has scored more than 1 run in each innings.

5. Raina's hiighest score is greater than that of Dhoni's highest score.

Questions :

1. Who scored century in one innings ?
2. Who scored 35 runs in 2 consecutive innings ?
3. Who scored 30 runs in one innings ?

Answer

Scores of individuals :


Dhoni= 80,30,10,10,1
Raina=100,25,3,2,1
Kholi=85,20,15,10,1
Shikhar=90,20,15,3,3


Above combination satisfies all conditions given in the question.


Answer 1) Raina


Answer 2) Kohli and Shikhar


Answer 3) Dhoni

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3 4723
Q:

The difference between the compound interest and the simple interest on Rs. 6250 at 8% per annum in 2 years is

A) Rs.30 B) Rs.40
C) Rs.50 D) Rs.60
 
Answer & Explanation Answer: B) Rs.40

Explanation:
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1 4720
Q:

Which is not a sediment transporting agent?

A) Stratification B) Windstorms
C) Glacial Ice D) Stream water
 
Answer & Explanation Answer: A) Stratification

Explanation:

Stratification as actually the settling down of sediments with different properties to form layers/strata over years. Stratification especially occurs on the bed of water bodies such as oceans.

 

Stratified sedimentary rocks are used to study the ecological conditions over previous years/eras.  

 

The other choices like Windstorms, Glacial Ice and Stream water are mediums which sediments are transported.

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5 4713
Q:

A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in --- days  ?

A) 51/24 B) 87/5
C) 57/12 D) 60/11
 
Answer & Explanation Answer: D) 60/11

Explanation:

A can complete the work in 12 days working 8 hours a day

=> Number of hours A can complete the work = 12×8 = 96 hours 

=> Work done by A in 1 hour = 1/96

 

B can complete the work in 8 days working 10 hours a day

=> Number of hours B can complete the work = 8×10 = 80 hours 

=> Work done by B in 1 hour = 1/80

 

Work done by A and B in 1 hour = 1/96 + 1/80 = 11/480

 => A and B can complete the work in 480/11 hours

 

A and B works 8 hours a day.

Hence total days to complete the work with A and B working together 

= (480/11)/ (8) = 60/11 days

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