GATE Questions

Q:

A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is:

A) A gain of Rs. 27 B) A loss of Rs. 37
C) A loss of Rs. 27 D) A gain of Rs. 37
 
Answer & Explanation Answer: B) A loss of Rs. 37

Explanation:

As the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply the initial amount by 1.5 thrice and by 0.5 thrice (in any order).

The overall resultant will remain same.

So final amount with the person will be (in all cases):

64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)= Rs. 27

Hence the final result is: 

64 − 27 37

A loss of Rs.37

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Filed Under: Probability
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22 8282
Q:

Is SiCl4 polar or nonpolar?

A) Polar B) non polar
C) Both A & B D) None of the above
 
Answer & Explanation Answer: B) non polar

Explanation:

SiCl4 is a non polar as the forces of attraction between the shared pair of electrons are equal and the molecule is symmetric.

is_sicl4_polar_or_nonpolar1537793915.jpg image

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Filed Under: Chemistry
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7 8275
Q:

Raghu can complete a work in 12days working 9 hours a day. Arun can complete the same work in 8 days working 11 hours a day. If both Raghu and Arun work together, working 12 hours a day, in how many days can they complete the work ?

A)3449 days   

B)12449 days 

C)4349 days    

D)41249 days

A) Option A B) Option B
C) Option C D) Option D
 
Answer & Explanation Answer: C) Option C

Explanation:

Raghu can complete the work in (12 x 9)hrs = 108 hrs.

 

 Arun can complete the work in (8 x 11)hrs = 88 hrs.

 

Raghu's 1 hrs work = 1/108 and Arun's 1 hrs work = 1/88

 

(Raghu + Arun)'s 1 hrs work = 1108+188=492376

 
So, both Raghu and Arun will finish the work in 237649 hrs

Number of days of 12 hours each=237649×112 = 19849=4349 days

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Filed Under: Time and Work
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6 8269
Q:

Which of the following pairs have the same relationship as OFTEN : FOTEN?

A) HEART : TRAHE B) OPENS : SNEOP
C) RISKY : IRSYK D) FIRST : IFRST
 
Answer & Explanation Answer: C) RISKY : IRSYK

Explanation:

      It is a case of shifting as given below:

 

      1  2  3  4  5                    2  1  3  5  4

 

      O  F  T  E  N     F  O  T  N  E

 

---------------------------------------------------------------------------

 

       1  2  3  4  5                   5  4  3  1  2

 

1.    H  E  A  R  T             T  R  A  H  E    

 

2.    O  P  E  N  S    S  N  E  O  P

 

        1  2  3  4  5         2  1  3  5  4

3.    R  I  S  K  Y     I  R  S  Y  K

 

 

4.    F  I  R  S  T     I  F  R  S  T

 

Hence option 3 is correct.

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Filed Under: Analogy
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19 8264
Q:

Select a suitable figure from the four alternatives that would complete the figure matrix.

     1366338589-11484717605.jpg image

 1366338589-121484717623.jpg image

    (1)   (2)   (3)   (4)

A) 1 B) 4
C) 3 D) 2
 
Answer & Explanation Answer: D) 2

Explanation:

One line is increasing in each subsequent figue.

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Filed Under: Figure Matrix
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16 8252
Q:

5 years ago Sushma was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find their ages ?

A) 24 and 13 years B) 48 and 24 years
C) 35 and 11 years D) 33 and 15 years
 
Answer & Explanation Answer: C) 35 and 11 years

Explanation:

Let the age of sushma be x and
the age of her son is y
Then five years before x-5=5(y-5) ...(1)
Five years hence x+5 = 3(y+5)-8 .....(2)

By soving (1) & (2), we get
5y - 15 = 3y + 7
y = 11 => x = 35

Therefore, the age of Sushma = 35 and her son = 11.

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Filed Under: Problems on Ages
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9 8228
Q:

INI extension refers usually to what kind of file?

A) System file B) Image Color Matching Profile file
C) Hypertext related file D) Image file
 
Answer & Explanation Answer: A) System file

Explanation:

".INI" is an extention for all the configuration files in the system. 

 

Hence, .ini is an extension for System files.

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6 8211
Q:

20 men went to a restaurant. Ninteen of them paid Rs.70 each and the twentieth man paid Rs.90.25 more than the average of all the 20 men. What is the total bill ?

A) Rs. 1495 B) Rs. 548
C) Rs. 850 D) Rs. 1750
 
Answer & Explanation Answer: A) Rs. 1495

Explanation:

Let the average bill paid by twenty members = 'x'

But 19 men paid each = Rs. 70

20th man paid Rs. 90.25 more than the avg bill of 20 = x + 90.25

20x = 19(70) + x + 90.25
19x = 1330 + 90.25
19x = 1420.25
x = 1420.25/19 = Rs. 74.75

But the total bill = 20 x 74.75 = Rs. 1495.

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Filed Under: Average
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10 8203