GATE Questions

Q:

A man spend Rs. 810 in buying trouser at Rs. 70 each and shirt at Rs. 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased ?

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

Explanation:

Let us assume S as number of shirts and T as number of trousers
Given that each trouser cost = Rs.70 and that of shirt = Rs.30
Therefore, 70 T + 30 S = 810
=> 7T + 3S = 81......(1)
T = ( 81 - 3S )/7

We need to find the least value of S which will make (81 - 3S) divisible by 7 to get maximum value of T
Simplifying by taking 3 as common factor i.e, 3(27-S) / 7
In the above equation least value of S as 6 so that 27- 3S becomes divisible by 7

Hence T = (81-3xS)/7 = (81-3x6)/7 = 63/7 = 9

Hence for S, put T in eq(1), we get
S = 81-7(9)/3 = 81-63 / 3 = 18/3 = 6.
The ratio of T:S = 9:6 = 3:2.

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Filed Under: Ratios and Proportions
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14 8403
Q:

How many zeros are there from 1 to 10000 ?

A) 2893 B) 4528
C) 6587 D) 4875
 
Answer & Explanation Answer: A) 2893

Explanation:

For solving this problem first we would break the whole range in 5 sections


1) From 1 to 9
Total number of zero in this range = 0


2) From 10 to 99
Total possibilities = 9*1 = 9 ( here 9 is used for the possibilities of a non zero integer)


3) From 100 to 999 - three type of numbers are there in this range
a) x00 b) x0x c) xx0 (here x represents a non zero number)
Total possibilities
for x00 = 9*1*1 = 9, hence total zeros = 9*2 = 18
for x0x = 9*1*9 = 81, hence total zeros = 81
similarly for xx0 = 81
total zeros in three digit numbers = 18 + 81 +81 = 180


4) From 1000 to 9999 - seven type of numbers are there in this range
a)x000 b)xx00 c)x0x0 d)x00x e)xxx0 f)xx0x g)x0xx
Total possibilities
for x000 = 9*1*1*1 = 9, hence total zeros = 9*3 = 27
for xx00 = 9*9*1*1 = 81, hence total zeros = 81*2 = 162
for x0x0 = 9*1*9*1 = 81, hence total zeros = 81*2 = 162
for x00x = 9*1*1*9 = 81, hence total zeros = 81*2 = 162
for xxx0 = 9*9*9*1 = 729, hence total zeros = 729*1 = 729
for xx0x = 9*9*1*9 = 729, hence total zeros = 729*1 = 729
for x0xx = 9*1*9*9 = 729, hence total zeros = 729*1 = 729
total zeros in four digit numbers = 27 + 3*162 + 3*729 = 2700
thus total zeros will be 0+9+180+2700+4 (last 4 is for 4 zeros of 10000)
= 2893

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Filed Under: Numbers
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7 8401
Q:

The cricket match proved to be a big draw. (Idioms & Phrases)

A) a huge attraction B) a game without any result
C) a keen contest D) a lovely spectacle
 
Answer & Explanation Answer: A) a huge attraction

Explanation:

Here it is an idiom that says The cricket match proved to be a big draw means it stands as a huge attraction.

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2 8394
Q:

A train moving at 2/3 rd of its normal speed reaches its destination 20 minutes late. Find the normal time taken ?

A) 4/3 hrs B) 2/3 hrs
C) 3/2 hrs D) 1/4 hrs
 
Answer & Explanation Answer: B) 2/3 hrs

Explanation:

Let the original speed and time is S and T
then distance = S x T
Now the speed changes to 2/3S and T is T+20
As the distance is same
S x T = 2/3Sx(T+20)
solving this we get t = 40 minutes
=40/60 = 2/3 hour

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5 8390
Q:

What is the meaning of the four colour dots in the news paper?

newspaper-color-dots1525935299.jpg image

Answer

If you read newspaper daily, then you may be aware of the four coloured dots on the corner of the newspaper. 


 


The four dots CMYK — blue (Cyan), pink (Magenta), Yellow and black (Kalio) are registration marks used during printing to help ensure the print is aligned properly. Any colour can be obtained by adding the correct proportion of these four colours.


 


CMYK is used as a base for the colours used in printing newspapers, and these four colours are often printed on the paper in either a heart, dot, or square shape.


 


To print an image, the plates of all these colours are laid out on a page separately and lined up in the same spot while printing. If those four dots are blur or you find the colours overlapping on the image it means the printing is not good. To print an accurate and perfect image, the colors and shape must be arranged precisely and must be claear sharp in order to get the best output.


 



That's why CMYK is also called registration mark. As physically checking all the pages of the paper is not possible for a printer who prints number of news papers daily, he just checks these dots.

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15 8387
Q:

Pageant is most similar in meaning to

A) Show B) Gallant
C) Beauty D) Sovereign
 
Answer & Explanation Answer: A) Show

Explanation:

Pageant is most similar in meaning to Show.

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0 8383
Q:

Motorcycle : Battery :: Life : ?

A) Star B) Moon
C) Sun D) Earth
 
Answer & Explanation Answer: C) Sun

Explanation:

Second is the ultimate source for the first.

That is, Battery is the source of motorcycle. Similarly, Sun is the ultimate source of life.

 

Hence, Motorcycle : Battery :: Life : Sun.

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Filed Under: Analogy
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34 8378
Q:

k, l, m together started a business. k invested Rs.6000 for 5 months l invested Rs.3600 for 6 months and m Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of l ?

A) Rs. 1640 B) Rs. 2500
C) Rs. 2160 D) Rs. 3000
 
Answer & Explanation Answer: C) Rs. 2160

Explanation:

=> 60x5 : 36x6 : 75x3

=> 100 : 72 : 75

=> 72/247 x 7410 = Rs. 2160

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Filed Under: Partnership
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5 8365