GATE Questions

Q:

In a college, number of boys is 75% of number of girls. Difference between boys and girls is 35. On a particular day 20% boys were absent, then find the number of boys those who present?

A) 72 B) 84
C) 93 D) 81
 
Answer & Explanation Answer: B) 84

Explanation:

Ratio of girls and boys = 100% : 75% = 4:3

Difference is 1 unit = 35

So, 3 units = 35 x 3 = 105

If 20% absent, that’s mean 80% present.

So, present boys = 80% of 105 = 80×105100 = 84

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Filed Under: Percentage
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18 8108
Q:

Word length of a personal computer is

A) 32 bit B) 16 bit
C) 8 bit D) 4 bit
 
Answer & Explanation Answer: C) 8 bit

Explanation:

Word length refers to the number of bits processed by a computer's CPU in one go. These days, typically 32 bits or 64 bits are used.

Data bus size, instruction size, address size are usually multiples of the word size.

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11 8107
Q:

Which state is known as land of setting sun in India?

A) Rajasthan B) Arunachal Pradesh
C) Kerala D) Gujarat
 
Answer & Explanation Answer: A) Rajasthan

Explanation:

Arunachal Pradesh is known as the land of rising sun whereas Rajasthan is known as the land of setting sun in Indian states.

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Filed Under: Indian Geography
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3 8092
Q:

In a year, Holi was enjoyed on 6th March 9 AM and Deepawali was celebrated on 11th November 8 PM. The total time interval (in hours) between the two was ?

A) 2101 hrs B) 4125 hrs
C) 5124 hrs D) 6011 hrs
 
Answer & Explanation Answer: D) 6011 hrs

Explanation:

From March 6th to November 11th,
there are 250 days and
Thus 250 x 24 hours
So from Mar 6th 9AM to Nov 11th 8PM, there will be 250 x 24 + 11 hours = 6011 hrs.

 

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Filed Under: Calendar
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27 8091
Q:

A man purchases two articles, on selling one at loss of 20% while the other at a profit of 25%, he gains the overall profit of 5% than find the ratio of their selling price ?

A) 8 : 62.5 B) 55 : 8
C) 8 : 65 D) 64.4 : 9
 
Answer & Explanation Answer: A) 8 : 62.5

Explanation:

                      Article I                   Article II
                         -20                         25%
                                        5%
                         20%                       25%
                     

                          4              :              5

Now, Selling of first article = (4-20%) = 0.8

Selling of second article = (5+25%) =  6.25

Therefore the ratio of selling price = 8 : 62.5

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Filed Under: Profit and Loss
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21 8084
Q:

In a mens hostel, there were 95 students. To accommodate 30 more students the average is decreased by rupees 5. But total expenditure increased by Rs.500. Find the total expenditure of the hostel now ?

A) Rs. 4680 B) Rs. 4420
C) Rs. 4960 D) Rs. 5480
 
Answer & Explanation Answer: A) Rs. 4680

Explanation:

Let the expenditure on the 95 students be 'x'

Then,

95x + 500 = 120(x – 5)
95x + 500 = 120x - 600
120x - 95x = 1100
25x = 1100
=> x = 44

Therefore, total expenditure of the hostel becomes
95 x 44 + 500 = 4680.

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Filed Under: Average
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18 8083
Q:

A motorboat goes 8 km an hour in still water, but takes thrice as much time in going the same distance against the current than going with the current. Then find the speed of the current?

A) 4 kmph B) 6 kmph
C) 3 kmph D) 2 kmph
 
Answer & Explanation Answer: A) 4 kmph

Explanation:

Let the speed of current = 'C' km/hr

 

Given the speed of boat in still water = 6 kmph

 

Let 'd' kms be the distance it covers.

 

According to the given data,

 

Boat takes thrice as much time in going the same distance against the current than going with the current

 

i.e, d8 - C = 3 × d8 + C

 

 24 - 3C = 8 + C 4C = 16 C = 4 kmph

 

Hence, the speed of the current C = 4 kmph.

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Filed Under: Boats and Streams
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9 8077
Q:

Which bond has the greatest ionic character?

A) H-F B) H-Cl
C) H-N D) H-O
 
Answer & Explanation Answer: A) H-F

Explanation:

Ionic character depends on the electronegativity difference between the bonding elements. The greatest the elctronegativity diffference the greatest the ionic character.

Here in the given options, H-F has has the greatest ionic character. The electronegativity of Hydrogen is 2.1 and that of Fluorine is 4. Now the electronegativity difference is 4 - 2.1 = 1.9.

 

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Filed Under: Chemistry
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8 8076