GATE Questions

Q:

There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number ?

A) 17 B) 19
C) 13 D) 11
 
Answer & Explanation Answer: C) 13

Explanation:

(385/1001) = 5/13

First Number is 5

=> Fourth number is 13 

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Filed Under: Problems on Numbers
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14 14398
Q:

If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time  ?

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

Explanation:

5M + 2B = 4(1M + 1B)

5M + 2B = 4M + 4B

1M = 2B

The required ratio of work done by a man and a boy = 2:1

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Filed Under: Time and Work
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8 14388
Q:

The cost of 7 tables and 12 chairs is Rs 48,250. What is the cost of 21 tables and 36 chairs ?

A) Rs. 1,44,750 B) Rs. 2,35,745
C) Rs. 89,489 D) Rs.74,256
 
Answer & Explanation Answer: A) Rs. 1,44,750

Explanation:

3T+12C = 48,250----(1)

21T+36C = ?

multiply eq (1) with 3
i.e,, 3(7T+12C) = 48,250*3
21T+36C = 1,44,750/-

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Filed Under: Arithmetical Reasoning
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25 14381
Q:

If 'A$B' means ' A is father of B ', 'A#B' means ' A is daughter of B ', 'A@B' means ' A is sister of B ' then  how is K related to Lin "H@K$L#M" ?

A) Husband B) Uncle
C) Father D) Cannot be determined
 
Answer & Explanation Answer: A) Husband

Explanation:
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Filed Under: Blood Relations
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18 14375
Q:

A semi-mechanised car park, the first of its kind in Jammu and Kashmir, was inaugurated by ___________.

A) Mehbooba Mufti B) Narendra Modi
C) Nitin Gadkari D) Pranab Mukherjee
 
Answer & Explanation Answer: A) Mehbooba Mufti

Explanation:

A semi-mechanised car park, the first of its kind in Jammu and Kashmir, was inaugurated by Chief Minister Mehbooba Mufti who hoped the facility would ease traffic congestion in and around Lal Chowk. The multi-level car park, located near the old KMD bus stand on Maulana Azad Road, has been set up at a cost of Rs 27.15 crore and has a capacity to hold 288 vehicles.

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Filed Under: General Awareness
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11 14367
Q:

In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture?

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

Explanation:

Quantity of alohol in the mixture = 40 x 5/8 = 25 lit

Quantity of water = 40 - 25 = 15 lit

According to question,

Required ratio = 20 - 40 x 20100 x 5815 - 40 x 20100 x 38 + 40 x 20100 = 2015 - 3 + 8 = 1 : 1

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Filed Under: Alligation or Mixture
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27 14366
Q:

Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is  ?

A) 16/19 B) 1
C) 3/2 D) 17/20
 
Answer & Explanation Answer: D) 17/20

Explanation:

n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(E U P) = 10/20 + 8/20 - 1/20 = 17/20

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Filed Under: Probability
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15 14362
Q:

Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ?

A) 2 9/7 km B) 3 7/5 km
C) 1 3/4 km D) 4 3/8 km
 
Answer & Explanation Answer: D) 4 3/8 km

Explanation:

Relative Speed = 5 ¾ - 4 ½ = 1 ¼

Time = 3 ½ h.

Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.

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Filed Under: Time and Distance
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9 14347