GATE Questions and Answers with Explanation

Q:

Find the Missing Numbers in the given Number Puzzle ?

A) 169 & 81	B) 67 & 121
C) 64 & 115	D) 70 & 110

Answer & Explanation Answer: A) 169 & 81

Explanation:

Observe that in each column, square of sum of digits in the first row = Respective second row elements.

In the same way, square of sum of digits in the second row = Respective third row elements.

=> ${(6 + 4)}^{2} = 10^{2} = 100$

=> ${(4 + 9)}^{2} = 13^{2} = 169$

=> ${(8 + 1)}^{2} = 9^{2} = 81$ .

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Filed Under: Number Puzzles
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93 17139

Q:

Direction: What should come in the place of question mark (?) in the following number series?

3, 4, 10, 33, 136, ?

A) 150	B) 298
C) 463	D) 572

Answer & Explanation Answer:

Explanation:

The pattern followed is *1 + 1, *2 +2 , *3 + 3 , *4 + 4 , *5 + 5

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0 17127

Q:

With an average speed of 40 km/hr, a train reaches its destination in time. If it goes with an average speed of 35 km/hr, it is late by 15 minutes. Find the length of the total journey?

A) 70 kms	B) 60 kms
C) 45 kms	D) 30 kms

Answer & Explanation Answer: A) 70 kms

Explanation:

Let the time taken by train be 't' hrs.

Then,

$40 t = 35 (t + \frac{15}{60})$

40t = 35t + 35/4

t = 7/4 hrs

Therefore, Required length of the total journey d = s x t

= 40 x 7/4

= 70 kms.

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Filed Under: Time and Distance
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22 17118

Q:

What has a spine but no bones?

A) Mirror	B) Book
C) Table	D) None of the above

Answer & Explanation Answer: B) Book

Explanation:

A book has a spine to hold all the pages, but it has no bones.

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42 17111

Q:

Two numbers are 35% and 42% are less than a third number .How much percent is the second number less than the first ?

A) 10.769 %	B) 11.23 %
C) 10.4 %	D) 9.87 %

Answer & Explanation Answer: A) 10.769 %

Explanation:

I II III

65 58 100

65 -------- 7
100 ------ ? => 10.769%

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12 17075

Q:

'P' walked 1 km towards south direction and turned $90^{o}$ ACW and walked 2 km. Then he turned his left and walked 1 km and then he turned his right and walked 2 km. After that he turned $90^{o}$ ACW and walked 3 km. How far is he from the starting point ?

A) 5 km	B) 4 km
C) 2 km	D) 0 km

Answer & Explanation Answer: A) 5 km

Explanation:

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85 16995

Q:

Out of 120 students in aschool, 5% can play all the three games Cricket, Chess and Carroms. If so happens that the number of players who can play any and only two games is 30. The number of students who can play the Cricket alone is 40. What is the total number of those who can play Chess alone or Carroms alone ?

A) 45	B) 44
C) 46	D) 24

Answer & Explanation Answer: B) 44

Explanation:

k11483174138.jpg image

Given U=120

5% of 120 = 6

Therefore, Students who can play Chess alone or Carroms alone = 120 - (30+40+6)= 44

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Filed Under: Logical Venn Diagram
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97 16977

Q:

Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 5780, how much amount did Raghu invest ?

A) Rs.2010	B) Rs.2200
C) Rs.2000	D) Rs.2100

Answer & Explanation Answer: C) Rs.2000

Explanation:

Let money invested by Raghu = Rs. x
Money invested by Trishul = 9/10 x = 0.9x
Money invested by Vishal = 9/10x * 110/100 = 0.99x
Also, x+0.9x+0.99x = 5780
= x= 5780/2.89 = 2000

Therefore, amount invested by Raghu is Rs. 2000.

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Filed Under: Partnership
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12 16972

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