GATE Questions

Q:

5% people of a village in India died by dengue, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning ?

A) 4400 B) 3100
C) 2800 D) 5600
 
Answer & Explanation Answer: A) 4400

Explanation:

Let 'P' be the original population at the beginning

P x (95/100) x (85/100) = 3553

P = 4400.

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Q:

Two numbers are respectively 40% and 30% more than a third number. The second number expressed in terms of percentage of the first is ?

A) 92.8% B) 84.23%
C) 87.14% D) 94.1%
 
Answer & Explanation Answer: A) 92.8%

Explanation:

Here, x = 40 and y = 30;
Therefore second number
= [[100+y100+x] x 100 ]% of first number
= [[100+y100+x] x 100 ]% of first number
Second number = 92.8% of the first number.

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12 11753
Q:

Water flows into a tank which is 200 m long and 150 m wide, through a pipe of cross-section (0.3m x 0.2m) at 20 km/h. In what time will the water level be 12m  ?

A) 200 hrs B) 240 hrs
C) 300 hrs D) 270 hrs
 
Answer & Explanation Answer: C) 300 hrs

Explanation:

Volume of water collected in the tank in 1 hour

⇒ (0.3 × 0.2 × 20km × 1000mts) = 1200 m cubic

If after t hours, the water is at height of 12m,

1200t=200×150×12 

⇒ t = 300 Hours.

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Filed Under: Pipes and Cistern
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25 11750
Q:

Third proportion of 10 and 20 is

A) 30 B) 40
C) 25 D) 20
 
Answer & Explanation Answer: B) 40

Explanation:

The third proportional of two numbers p and q is defined to be that number r such that

p : q = q : r.

 

Here, required third proportional of 10 & 20, and let it be 'a'

=> 10 : 20 = 20 : a

10a = 20 x 20

=> a = 40

 

Hence, third proportional of 10 & 20 is 40.

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30 11724
Q:

An exhibition was conducted for 4 weeks. The number of tickets sold in 2nd workweek was increased by 20% and increased by 16% in the 3rd workweek but decreased by 20% in the 4th workweek. Find the number of tickets sold in the beginning, if 1392 tickets were sold in the last week ?

A) 1124 B) 1420
C) 1345 D) 1250
 
Answer & Explanation Answer: D) 1250

Explanation:

Let initially 'X' ticket has been sold.
So now in 2nd week 20% increases, so
=> X x 120/100
In 3rd week 16% increases, so
=> X x (120/100) x (116/100)
In 4th week 20% decrease, so
=> X x (120/100) x (116/100) x (80/100) = 1392
X = 1250.

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6 11719
Q:

The Basic Architecture of Computer was developed by

A) Charles Babbage B) Blaise Pascal
C) Garden Moore D) John Von Neumann
 
Answer & Explanation Answer: D) John Von Neumann

Explanation:

Computer Architecture refers to how a computer system is designed and what technologies it is compatible with. In brief, Computer architecture is a specification detailing how a set of software and hardware technology standards interact to form a computer system or platform.  

                                     comp1518074667.jpg image 

The Von Neumann Architecture, which is also known as the Von Neumann Model and Princeton architecture, is a computer architecture based on the 1945 description of computer by the mathematician and physicist John von Neumann.

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Q:

How many meaningful English words can be formed with the letters LGEU using each letter only once in each word ?

A) Zero B) One
C) Two D) Four
 
Answer & Explanation Answer: B) One

Explanation:

'GLUE' is the only meaningful word that can be formed using the letters given.

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Filed Under: Alphabet Test
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22 11657
Q:

Library is to Book as Book is to

A) Words B) Pages
C) Binding D) Cover
 
Answer & Explanation Answer: B) Pages

Explanation:

A Library consists of Books in the same way Book consists Pages.

 

Hence, Library : Book :: Book : Pages.

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Filed Under: Analogy
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17 11628