GATE Questions

Q:

The following bar graph shows the percentage of chairs produced by two companies Neel Kamal and Raj Kamal during five different years. Bar graph also shows the total no. of chairs produced in different years associated with it. Study the graph carefully to answer the following questions.

bar_g1527828671.jpg image

Question 1)  Find the average no. of chairs produced by Raj Kamal in the years 2004, 2006 and 2007 together.

 

Question 2)  What is the ratio of no. of chairs produced by Neel Kamal in the years 2007 and 2008 together to that by Raj Kamal in the same years together?

 

Question 3)  If 12% chairs out of total chairs produced in the year 2008 were defective and in them ratio of defective chairs by Raj Kamal and Neel Kamal is 2 : 3 then find the no. of defective chairs produced by Neel Kamal in the year 2008.

Answer

Answer 1)  


1/3 x (54 x 150 + 60 x 300 + 36 x 450)


= 1/3 x 42300


= 14100.


 


Answer 2)


Required ratio of chairs = 64 x 450 + 56 x 50036 x 450 + 44 x 500


= 56800/38200


= 284/191.


 


Answer 3)


 


Required number of chairs =  35 x 12100 x 50000
= 3600.


 

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Q:

Which of the following is not a prime number?

A) 5 B) 11
C) 21 D) 37
 
Answer & Explanation Answer: C) 21

Explanation:

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

 

Factors of 5 are 1, 5

Factors of 11 are 1, 11

Factors of 21 are 1, 3, 7, 21

Factors of 37 are 1, 37.

 

Hence, according to the definition of a prime number, 21 is not a prime number as it has more than two factors.

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6 2810
Q:

A computer program consists of

A) flowchart B) algorithm
C) logical steps D) All of the above
 
Answer & Explanation Answer: B) algorithm

Explanation:

A computer program is a set of instructions i.e algorithm that are to be executed to complete a task.

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3 2809
Q:

Find which of the two conclusions I and II given below is/are definitely true from the the given statements.

 

Statements: I > W > T > N, I = F = G = C

 

Conclusions:    I. W > I                 

                         II. C > N

A) Only Conclusion I is true B) Only Conclusion II is true
C) Both conclusions I & II are true D) Neither conclusion I nor II is true
 
Answer & Explanation Answer: B) Only Conclusion II is true

Explanation:

From the given Statements : 

 1. I > W > T > N
 
 2. F = G = C
 

Conclusions are : 

 I. W > I (False)

 II. C > N (True)

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7 2809
Q:

In the question below consists of a question and two statements numbered a and b given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer.

Question: In which year was Kalyan born ?
Statements:
a. Kalyan at present is 15 years younger to his mother.
b. Kalyan's brother, who was born in 1991, is 25 years younger to his mother.

 

A) b alone is sufficient while a alone is not sufficient B) a alone is sufficient while b alone is not sufficient
C) Both a and b are sufficient D) Neither a nor b is sufficient
 
Answer & Explanation Answer: C) Both a and b are sufficient

Explanation:

From both a and b, we find that Kalyan is (25 - 15) = 10 years older than his brother, who was born in 1991. So, Kalyan was born in 1981.

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1 2808
Q:

What gets bigger the more you take away?

Answer

A Hole gets bigger and bigger as you take more away from it.

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6 2806
Q:

Which of the following is known as the Electronic City of India?

A) Hyderabad B) Mumbai
C) Bengaluru D) Gurgaon
 
Answer & Explanation Answer: C) Bengaluru

Explanation:

Bengaluru city is known as the Electronic City of India. Because Electronic City is an IT hub in Anekal taluk of Bengaluru, Karnataka, India. It is one of India's largest electronic industrial parks in 3 phases i.e, in Konappana Agrahara and Doddathogur villages, Bengaluru.

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3 2805
Q:

In a compound, chemical energy is contained in the

A) bonds B) movement of the electrons
C) unbonded electrons D) nuclei of the atoms
 
Answer & Explanation Answer: A) bonds

Explanation:

chemical energy is contained in the chemical bonds between the reactants in the chemical compounds.

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