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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7 3018
Q:

What is 7 + 7 ÷ 7 + 7 × 7 - 7 =

A) 0 B) 42
C) 50 D) 57
 
Answer & Explanation Answer: C) 50

Explanation:

Given 7 + 7/7 + 7 x 7 - 7

By using BODMAS rule,

7 + 1 + 7 x 7 - 7

= 8 + 49 - 7

= 57 - 7

= 50.

 

Hence 7 + 7/7 + 7 x 7 - 7 = 50.

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Filed Under: Mathematical Operations
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20 3015
Q:

A Step-Up Transformer Increases

A) Power B) Current
C) Frequency D) Voltage
 
Answer & Explanation Answer: D) Voltage

Explanation:

A transformer that increases voltage from primary to secondary (more secondary winding turns than primary winding turns) is called a Step-Up Transformer.

Conversely, a transformer designed to do just the opposite is called a Step-Down Transformer. 

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Filed Under: Physics
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5 3012
Q:

In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?

A) 1,51,200 ways. B) 5,04,020 ways
C) 72,000 ways D) None of the above
 
Answer & Explanation Answer: A) 1,51,200 ways.

Explanation:

In circumcstances word there are 3C's, 2S's, I, U,R, T, A, N, E

Total = 13 letters

But last letter must be N

Hence, available places = 12

In that odd places = 1, 3, 5, 7, 9, 11

Owvels = 4

This can be done in 6P4 ways 

Remaining 7 letters can be arranged in 7!/3! x 2! ways

 

Hence, total number of ways = 6P4 x 7!/3! x 2! = 360 x 5040/12 = 1,51,200 ways.

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Filed Under: Permutations and Combinations
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3 3005
Q:

'.bak' extension refers to what kind of file?

A) Document B) Movie/Video file
C) Backup file D) Audio file
 
Answer & Explanation Answer: C) Backup file

Explanation:

In computing, ".bak" is a filename extension commonly used to signify a backup copy of a file.

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3 3002
Q:

Suresh starts working as a analyst on an annual salary of Rs. 160000. If he receives a 15% pay-rise each year, the number of years he has worked for the company, when his annual salary became Rs. 279841 is

A) 3.5 yrs B) 4 yrs
C) 4.5 yrs D) 5 yrs
 
Answer & Explanation Answer: B) 4 yrs

Explanation:

From the given data in the question,

279841 = 160000 x 1+15100t279841160000 = 115100t

t = 4 years.

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Filed Under: Percentage
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6 3000
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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Filed Under: Statement and Conclusions
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7 2996
Q:

Which of the following sports is most popular worldwide?

A) Football B) Hockey
C) Cricket D) Tennis
 
Answer & Explanation Answer: A) Football

Explanation:

Top five most popular games world wide are :

 

Game name              -      Estimated  fans     -    Popular Regions

 

1. Soccer / Football      -      3.5 Billion    -     Europe, Africa, Asia, America

2. Cricket                    -      2.5 Billion     -    Asia, Australia, UK

3. Basketball               -      2.2 Billion     -    US, Canada, China and Philippines

4. Field Hockey           -       2 Billion       -     Europe, Africa, Asia, Australia

5. Tennis                    -       1 Billion       -     Europe, Americas, and Asia.

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Filed Under: General Awareness
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