GATE Questions

Q:

If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many more man should be engaged to finish the rest of the work in 6 days working 9 hours a day ? 

A) 101 men B) 112 men
C) 102 men D) 120 men
 
Answer & Explanation Answer: C) 102 men

Explanation:

From the above formula i.e (m1 x t1/w1) = (m2 x t2/w2)

so, [(34 x 8 x 9)/(2/5)] = [(M x 6 x 9)/(3/5)]

so, M = 136 men

 

Number of men to be added to finish the work = 136-34 = 102 men.

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Filed Under: Time and Work
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Q:

P, Q, and R can do a job in 12 days together.  If their efficiency of working be in the ratio 3 : 8 : 5, Find in what time Q can complete the same work alone?

A) 36 days B) 30 days
C) 24 days D) 22 days
 
Answer & Explanation Answer: A) 36 days

Explanation:

Given the ratio of efficiencies of P, Q & R are 3 : 8 : 5

Let the efficiencies of P, Q & R be 3x, 8x and 5x respectively

They can do work for 12 days.

=> Total work = 12 x 16x = 192x

 

Now, the required time taken by Q to complete the job alone = 162x8x = 24 days.

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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 14171
Q:

Which is the gas used for making vegetables and vanaspathi from vegetable oils?

A) Hydrogen B) Nitrogen
C) Argon D) Helium
 
Answer & Explanation Answer: A) Hydrogen

Explanation:

Hydrogen gas is used for making vegetables and vanaspathi from vegetable oils.

As it is colourless, odourless, tasteless, flammable gaseous substance, it is added to oils to make them more solid or spreadable.

The use of hydrogenation helps to prolong the shelf life of the food and maintain flavour stability.

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Filed Under: Chemistry
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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 14160
Q:

The percentage discount offered for "Buy 6 get 1 free is" ?

A) 85.78 % B) 58. 48 %
C) 19.25 % D) 14.285 %
 
Answer & Explanation Answer: D) 14.285 %

Explanation:

Total Items = 7
Discounted = 1
Percentage = 1/7 x 100
= 14.285%

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Filed Under: Percentage
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16 14156
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
Exam Prep: GATE
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18 14154
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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