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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92 16873

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 16867

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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Filed Under: Direction Sense Test
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85 16759

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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Filed Under: Percentage
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12 16744

Q:

A man covers half of his journey by train at 60 km/hr, half of the remaining by bus at 30 km/hr and the rest by cycle at 10 km/hr. Find his average speed during the entire journey?

A) 32 kmph	B) 20 kmph
C) 18 kmph	D) 24 kmph

Answer & Explanation Answer: D) 24 kmph

Explanation:

Let the total distance of the journey of a man = d kms

Now, the average speed of the entire journey = $\frac{d}{\frac{d}{120} + \frac{d}{120} + \frac{d}{40}}$ = 24 kmph.

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Filed Under: Time and Distance
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30 16708

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 16655

Q:

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it ?

A) 40 days	B) 36 days
C) 32 days	D) 34 days

Answer & Explanation Answer: A) 40 days

Explanation:

Let 1 man's 1 day work = x and 1 woman's 1 day work = y.
Then, 4x + 6y = 1/8 and 3x + 7y = 1/10
Solving these two equations, we get:
x = 11/400 and y = 1/400
10 woman's 1 day work = (1/400 x 10) = 1/40.

Hence, 10 women will complete the work in 40 days.

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Filed Under: Time and Work
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19 16642

Q:

Given that on 9th August 2016 is Saturday. What was the day on 9th August 1616 ?

A) Saturday	B) Sunday
C) Friday	D) Monday

Answer & Explanation Answer: A) Saturday

Explanation:

We know that, After every 400 years, the same day occurs.

Thus, if 9th August 2016 is Saturday, before 400 years i.e., on 9th August 1616 has to be Saturday.

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Filed Under: Calendar
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70 16635

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