GATE Questions

Q:

P and Q can do a work in 4 hours and 12 hours respectively. P starts the work at 9am and they work alternately for one hour each. When will the work be completed ?

A) 3 am B) 12 pm
C) 1 pm D) 3 pm
 
Answer & Explanation Answer: D) 3 pm

Explanation:

Work done by P and Q in the first two hours, working alternately

= First hour P + Second hour Q

14+112=13

work is completed in 2 hours

Then, the total time required to complete the work by P and Q working alternately=2 x 3= 6hours

Thus, work will be completed at 3pm.

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Filed Under: Time and Work
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10 8509
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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18 8503
Q:

Select a suitable figure from the four alternatives that would complete the figure matrix.

     1366338589-11484717605.jpg image

 1366338589-121484717623.jpg image

    (1)   (2)   (3)   (4)

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

Explanation:

One line is increasing in each subsequent figue.

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Filed Under: Figure Matrix
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16 8500
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 8498
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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21 8493
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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18 8493
Q:

Is SiCl4 polar or nonpolar?

A) Polar B) non polar
C) Both A & B D) None of the above
 
Answer & Explanation Answer: B) non polar

Explanation:

SiCl4 is a non polar as the forces of attraction between the shared pair of electrons are equal and the molecule is symmetric.

is_sicl4_polar_or_nonpolar1537793915.jpg image

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7 8476
Q:

Raghu can complete a work in 12days working 9 hours a day. Arun can complete the same work in 8 days working 11 hours a day. If both Raghu and Arun work together, working 12 hours a day, in how many days can they complete the work ?

A)3449 days   

B)12449 days 

C)4349 days    

D)41249 days

A) Option A B) Option B
C) Option C D) Option D
 
Answer & Explanation Answer: C) Option C

Explanation:

Raghu can complete the work in (12 x 9)hrs = 108 hrs.

 

 Arun can complete the work in (8 x 11)hrs = 88 hrs.

 

Raghu's 1 hrs work = 1/108 and Arun's 1 hrs work = 1/88

 

(Raghu + Arun)'s 1 hrs work = 1108+188=492376

 
So, both Raghu and Arun will finish the work in 237649 hrs

Number of days of 12 hours each=237649×112 = 19849=4349 days

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6 8472