GATE Questions

Q:

There are 11 True or False questions. How many ways can these be answered ?

A) 11!/2 B) 1024
C) 11! D) 2048
 
Answer & Explanation Answer: D) 2048

Explanation:

Given 11 questions of type True or False

 

Then, Each of these questions can be answered in 2 ways (True or false)

 

Therefore, no. of ways of answering 11 questions = 211 = 2048 ways.

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Filed Under: Permutations and Combinations
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9 10061
Q:

Bread : Yeast :: Curd : ?

A) Fungi B) Bacteria
C) Germs D) Virus
 
Answer & Explanation Answer: B) Bacteria

Explanation:

First is produced by the action of the second.

Hence, Bread : Yeast :: Curd : Bacteria.

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Filed Under: Analogy
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5 10041
Q:

A standing wave occurs when

A) a wave reflects upon itself B) the amplitude of a wave exceeds its wavelength
C) two waves overlap D) the speed of the wave is zero or near zero
 
Answer & Explanation Answer: A) a wave reflects upon itself

Explanation:

A standing wave also known as a stationary wave, is a wave in which its peaks or any other point on the wave do not move spatially.

This phenomenon can occur because the medium is moving in the opposite direction to the wave, or it can arise in a stationary medium as a result of interference between two waves traveling in opposite directions. The most common cause of standing waves is the phenomenon of resonance, in which standing waves occur inside a resonator due to interference between waves reflected back and forth at the resonator's resonant frequency.

 

Hence, standing wave occurs when a wave reflects upon itself.

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Filed Under: Physics
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7 10029
Q:

A sum is divided among K, L and M in such a way that for each rupee K gets, L gets 45 paisa and M gets 30 paisa. If the share of L is Rs. 27,  what is the total amount  ?

A) Rs. 159 B) Rs. 96
C) Rs. 147 D) Rs. 105
 
Answer & Explanation Answer: D) Rs. 105

Explanation:

K : L : M = 100 : 45 : 30
              = 20 : 9 : 6

Given L share is 27

=> 9  ------  27
      35 ------  ?

      => 105

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Filed Under: Ratios and Proportions
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11 10026
Q:

On a school’s Annual day sweets were to be equally distributed amongst 112 children. But on that particular day, 32 children were absent. Thus the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get ?

A) 14 B) 16
C) 12 D) 15
 
Answer & Explanation Answer: D) 15

Explanation:

Let 'K' be the total number of sweets.
Given total number of students = 112
If sweets are distributed among 112 children,
Let number of sweets each student gets = 'L'

=> K/112 = L ....(1)
But on that day students absent = 32 => remaining = 112 - 32 = 80
Then, each student gets '6' sweets extra.

=> K/80 = L + 6 ....(2)
from (1) K = 112L substitute in (2), we get
112L = 80L + 480
32L = 480
L = 15

Therefore, 15 sweets were each student originally supposed to get.

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Filed Under: Average
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10 10023
Q:

The two kinds of Main Memory are

A) Random and sequential B) ROM and RAM
C) Primary and secondary D) All the above
 
Answer & Explanation Answer: B) ROM and RAM

Explanation:

The main memory in computers is where the programs and data are kept when the processor is actively using them.

 

The main storage region of a computer is of two kinds. They are ::

 

RAM -- Random Access Memory

 

ROM -- Read Only Memory.

 

The_two_kinds_of_Main_Memory_are1552389409.jpg image

 

The main memory is defined as the central storage in a computer.

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11 10020
Q:

If 1/8 of a pencil is black, 1/2 of the remaining is white and the remaining, 3/2cm is blue. Find the total length of the pencil?

A) 8 cms B) 7 cms
C) 9 cms D) 11 cms
 
Answer & Explanation Answer: A) 8 cms

Explanation:

Let the total length of the pencil = x cms

From the given data,

'x/8' is black

Remaining part = x - x/8 = 7x/8

1/2 of 7x/8 is white

=> 7x/16 is white (Remaining part is 7x/16)

And given that the remaining part is blue and is 3 1/2 cm = 7/2 = 3.5 cm

That remaining part = 7x/16

Therefore,

7x/16 = 7/2

x = 16/2 = 8

Hence, the total length of the pencil = x = 8 cm.

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Filed Under: Percentage
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17 10018
Q:

The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater than the corresponding cost price by 33.33%, what is the increased selling price?

A) Rs. 380 B) Rs. 420
C) Rs. 460 D) Rs. 440
 
Answer & Explanation Answer: B) Rs. 420

Explanation:

As given in the question, Marked price is 25% more than the Cost price.

=> C.P of the article = 34 x 400 = 300 

Now, 

Let the original S.P of the article be Rs. P

Now the new S.P = P + 16.666 +13.333300 x P 

=> S.P = 7P6

According to the question,

7P6 - 300 = 2P - 300

=> 5P = 1800

=> P = Rs. 360

Hence, the increased S.P = 360 x 7/6 = Rs. 420. 

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Filed Under: Profit and Loss
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