GATE Questions

Q:

Two persons Shyam and Rahim can do a job in 32 days together. Rahim can do the same job in 48 days alone. They started working together and after working 8 days Rahim is replaced by a third person Ram whose efficiency is half that of Rahim. Find in how many days the remaining work will be completed by both Shyam and Ram together?

A) 16 days B) 72/5 days
C) 15 days D) 96/5 days
 
Answer & Explanation Answer: B) 72/5 days

Explanation:

Work done by Shyam and Rahim in 8 days = 8/32 = 1/4

Remaining work to be done by Shyam and Ram = 1 - 1/4 = 3/4

Given efficieny of Ram is half of Rahim i.e, as Rahim can do the work in 48 days, Ram can do the work in 24 days.

One day work of Ram and Shyam = (1/32 - 1/48) + 1/24 = 5/96

Hence, the total work can be done by Shyam and Ram together in 96/5 days.

 

Therefore, remaining work 3/4 can be done by them in 3/4 x 96/5 = 72/5 = 14.4 days.

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Filed Under: Time and Work
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Q:

Which of the following is not a transverse wave?

A) Light waves B) Radio waves
C) Sound waves D) All the above
 
Answer & Explanation Answer: C) Sound waves

Explanation:
Light and Radio waves are both different frequency/wavelengths of electromagnetic radiation, which consists of two components electric and magnetic of perpendicular, transverse waves. 

 
Sound, on the other hand, is a longitudinal wave which oscillates parallel to it's medium (back and forth instead of up and down).
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Filed Under: Physics
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14 6582
Q:

Iteration is most similar in meaning to

A) Looping B) Starting
C) Ending D) None of the above
 
Answer & Explanation Answer: A) Looping

Explanation:

Iteration means doing something again and again, repeatedly,... 

 

Hence, looping is a process of repeating a method and so it is similar in meaning to Iteration.

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Filed Under: English
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3 6562
Q:

If the labour cost 20% of the cost of production and raw material cost 10% of the cost of production and the price on which article is sold is 20% above the cost of production. If the price of labour is increased by 40% and the price of raw material increased by 20% and rest other expenditure of cost remain constant. The industry thus decide to increase the selling price by 10%. Find the new profit percent  ?

A) 18% B) 20%
C) 22% D) 24%
 
Answer & Explanation Answer: B) 20%

Explanation:

Let the Cost of Production of the article = 100

Then, Labour Cost = 20

Raw Material = 10

Other Expenditure = 100 - 10 – 20 = 70

Selling Price of the article  = 120

After increasing Labour and Raw material cost by 40% & 20% respectively,

New Labour cost = 28

New Raw material cost = 12

New Cost of Production = 70 + 28 + 12 = 110

Then, New SP = 110% of 120 = 120 x 110/100 = 132

=> New Gain = 132 - 110 = 22

=> New Profit % = 22 x 100/110 = 20%

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Filed Under: Profit and Loss
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Q:

Rohith started a business by investing Rs. 3600. After somedays, Puneeth joined him by investing Rs. 2400. At the end of one year, the profit was divided in the ratio 2 : 1. After how many months did Puneeth join the business?

A) 2 months B) 2.5 months
C) 3 months D) 3.5 months
 
Answer & Explanation Answer: C) 3 months

Explanation:

Ratio of profit of Rohith and Puneeth = 3600 x 12 : 2400 x P

= 3600 x 12/2400P = 2/1

=> P = 9

So, Puneeth joined the business after (12 - P) = 12 - 9 = 3 months.

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Filed Under: Partnership
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12 6560
Q:

Directions:

Seven different boxes A, B, C, D, E, F and G of different colours viz., Orange, Pink, Purple, Yellow, Blue, Red and Green are arranged one above the other. The box at the bottom of arrangement is numbered 1, the above box is numbered 2 and so on. B is immediately above E. More than two boxes are above the Orange box. The Yellow box is immediately below A. Only one box is between the Orange box and F. G is immediately above the Red box. Only one box is between B and the Pink box. Only two boxes are between the Pink and the Green box. Only two boxes are between the Yellow box and the Orange box. The Purple box is neither at the top nor at the bottom of the arrangement.B is above Pink box. C is immediately above F. Neither C nor G is a Yellow box. G is not a Orange box.

Question:

Which combination represents the position of C and its colour?

A) 6-Green B) 6-Red
C) 5-Purple D) 7-Blue
 
Answer & Explanation Answer: D) 7-Blue

Explanation:

From the given information the arrangement can be done as follows:

 

 Position  Box  Colour

 

      7         C       Blue
      6         F       Green
      5         B       Purple
      4         E       Orange
      3         G       Pink
      2         A       Red
      1         D       Yellow

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Filed Under: Logic
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Q:

How much does a clock lose per day, if its hands coincide ever 65 minutes ?

A) 1440/143 min B) 184/13 min
C) 1425/18 min D) 541/9 min
 
Answer & Explanation Answer: C) 1425/18 min

Explanation:

55 min. spaces are covered in 60 min.
60 min. spaces are covered in ((60/55) x 60) min = 720/11 min.
Loss in 65 min. = (720/11 - 65 ) = 5/11
Loss in 24 hrs = (5/11 x 1/65 x 24 x 60)min = 1440/143 min.

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Filed Under: Calendar
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21 6547
Q:

Ronika deposited Rs.7000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much ?

A) 9850 B) 9500
C) 9620 D) 9760
 
Answer & Explanation Answer: C) 9620

Explanation:

As the interest rate increases by 2%
=> (7000x3x2)/100 = 420
                                   9200
                                  --------
                                   9620

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Filed Under: Simple Interest
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