GATE Questions

Q:

L is the daughter of K's brother's wife's father-in-law's daughter. K is L's __

A) Son B) Aunt
C) Uncle D) Can't be determined
 
Answer & Explanation Answer: D) Can't be determined

Explanation:

K's brother's wife's father-in-law is K's brother's father i.e. K's father. K's father's daughter is K's Sister.
L is daughter of K's sister => K is L's Uncle or Aunt.

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Filed Under: Blood Relations
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5 5215
Q:

If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true  ?

A) x > y < z B) x < y < z
C) x > y > z D) z < x < y
 
Answer & Explanation Answer: D) z < x < y

Explanation:

x = √8 - √7 = 1/(√8 + √7) and y = √6 - √5 = 1/(√6 + √5) and z = √10 - 3 = 1/(√10 + 3)

As (√8 + √7) > (√6 + √5), (√8 - √7) < (√6 - √5)

As (√10 + 3) > (√8 + √7) > (√6 + √5)

z < x < y.

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Filed Under: Arithmetical Reasoning
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6 5213
Q:

63.5% of 8924.2 +? % of 5324.4 = 6827.5862

A) 28 B) 22
C) 18 D) 12
 
Answer & Explanation Answer: B) 22

Explanation:

63.5% of 8924.2 +? % of 5324.4 = 6827.5862

=> 63.5% of 8925 + ? % of 5325 = 6830

=> 6830 ~= 5320 + ?(5325)/100

=> ? ~= 22

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Filed Under: Percentage
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6 5211
Q:

Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ?

A) 8/15 B) 7/15
C) 1/15 D) 4/15
 
Answer & Explanation Answer: B) 7/15

Explanation:

Given total students in the class = 60
Students who are taking Economics = 24 and
Students who are taking Calculus = 32
Students who are taking both subjects = 60-(24 + 32) = 60 - 56 = 4
Students who are taking calculus only = 32 - 4 = 28
probability that a randomly chosen student from this group is taking only the Calculus class = 28/60 = 7/15.

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Filed Under: Probability
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12 5206
Q:

Which among the following are not the c++ tokens

A) Identifiers B) keywords
C) Strings D) None
 
Answer & Explanation Answer: D) None

Explanation:

All the above listed options are c++ tokens .They  include:

             - keywords

             - Identifiers

             - Constants

             - Strings

             - operators

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Filed Under: C++
Exam Prep: GATE

4 5198
Q:

Value of vehicle at end of each year depreciates at the rate of 3/5th of value at the beginning. If Initial value is 10,000Rs then at the end of three years its value is ? 

A) Rs. 6000 B) Rs. 3600
C) Rs. 2160 D) Rs. 415
 
Answer & Explanation Answer: C) Rs. 2160

Explanation:

End of first year     :  10000 x (3/5) = Rs. 6000
End of second year :  6000 x (3/5) = Rs. 3600
End of third year    :  3600 x (3/5) = Rs. 2160

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Filed Under: Percentage
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2 5197
Q:

What has two hands but no arms or legs?

Answer

A Clock has 3 hands i.e, an Hour hand, a Minute hand and a Seconds hand.

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3 5197
Q:

'X' sells fruits at 21% profit. If X bought it for 9% less and sold it for Rs.29 less, he would have gained 25%. The cost price of fruits is?

A) Rs. 400 B) Rs. 420
C) Rs. 460 D) Rs. 480
 
Answer & Explanation Answer: A) Rs. 400

Explanation:

Let the cost price of the fruits be 'C.P'

From the given data, after analysis it can be solved as

(121% of C.P) - (125% of 91% of C.P) = 29

121100 C.P  -  125100  x 91100 x C.P = 29121100 - 125 x 91100 x 100 C.P = 29(12100 - 125 x 91) C.P = 290000(12100 - 11375) C.P = 290000725 C.P = 290000C.P = 400

 

Hence, the cost price of the fruits = Rs. 400.

 

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Filed Under: Profit and Loss
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13 5196