GATE Questions

Q:

9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days ?

A) 15 days B) 11 days
C) 14 days D) 12 days
 
Answer & Explanation Answer: D) 12 days

Explanation:

9M + 12B ----- 12 days ...........(1)
12M + 12B ------- 10 days........(2)
10M + 10B -------?
108M + 144B = 120M +120B
24B = 12M => 1M = 2B............(3)

From (1) & (3)

18B + 12B = 30B ---- 12 days

20B + 10B = 30B -----? => 12 days.

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Filed Under: Time and Work
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22 23962
Q:

Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?

A) Rs. 1100 B) Rs. 500
C) Rs. 1200 D) Rs. 700
 
Answer & Explanation Answer: B) Rs. 500

Explanation:

Let the amounts to be received by P, Q and R be p, q and r.
p + q + r = 1200
p = 1/2 (q + r) => 2p = q + r

Adding 'p' both sides, 3p = p + q + r = 1200
=> p = Rs.400

q = 1/3 (p + r) => 3q = p + r

Adding 'q' both sides, 4q = p + q + r = 1200
=> q = Rs.300

r = 1200 - (p + q) => r = Rs.500.

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Filed Under: Partnership
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18 23906
Q:

Ezra cup is associated with which sports?

A) Hockey B) Polo
C) Rowing D) Football
 
Answer & Explanation Answer: B) Polo

Explanation:

The Ezra Cup is a popular polo tournament conducted annually in India. The Calcutta Polo Club runs this oldest and first ever Polo Trophy. The first Ezra Cup was held in 1880. After a period of inactivity, it has now been revived by Mr. Keshav Bangur, Calcutta Polo Club's president.

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29 23681
Q:

In a certain coding language, iF GO = 32 & SHE = 49 then SOME will be equal to ?

A) 56 B) 58
C) 62 D) 64
 
Answer & Explanation Answer: A) 56

Explanation:

If we count letters till the end of the alphabet including that letter in reverse order then
Here the values are nothing but the values corresponding to the alphabets when taken in a reverse order,i.e,A=26 ,B=25...,Z=1
G = 20 and O = 12 totaling 32
S = 8, H = 19 and E = 22 totaling 49

So
SOME = 8 + 12 + 14 + 22 = 56.

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Filed Under: Coding and Decoding
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102 23591
Q:

What should come next in the following number series?

9 8 7 6 5 4 3 2 1 8 7 6 5 4 3 2 1 7 6 5 4 3 2 1

A) 9 B) 8
C) 7 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:

Here the series is:

 

987654321, 87654321, 7654321, 65...

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27 23589
Q:

Can you spot the missing number?

number_puzzle11531377158.jpg image

A) 3 B) 6
C) Both A & B D) None of the above
 
Answer & Explanation Answer: C) Both A & B

Explanation:

The given number puzzle can be soved in two ways.

Logic 1 ::

Row 1  - 2 x 3 = 6 , 6 x 3 = 18

Row 2  - 4 x 5 = 20 , 20 x 5 = 100

Row 3  - 3 x 7 = 21 , 21 x 7 = 147

 

Hence, the missing number could be 3.

 

Logic 2 ::

Row 1 - 6 x (2+1) = 18

Row 2 - 20 x (4+1) = 100

Row 3 - 21 x (6+1) = 147

 

Hence, the missing number could be 6.

 

Therefore, 3 or 6 is the right answer.

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137 23504
Q:

Man : Biography :: Nation : ?

A) History B) Leader
C) Story D) Nationalism
 
Answer & Explanation Answer: A) History

Explanation:

Detailed description of a man's life is Biography.

Similarly, detailed description of a Nations is called History.

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Filed Under: Analogy
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46 23463
Q:

What value should come in place of the question mark (?) in the following question?

52x14+145018=1998÷?

A) 18.25 B) 19.98
C) 34.58 D) 65.25
 
Answer & Explanation Answer: B) 19.98

Explanation:
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