GATE Questions

Q:

Shamma lends Rs.40,000 to two of her friends. She gives Rs.24,000 to the first at 8% p.a. simple interest. Shamma wants to make a profit of 10% on the whole. The simple interest rate at which she should lend the remaining sum of money to the second friend is:

A) 13% B) 8.5%
C) 9.5% D) 11.25%
 
Answer & Explanation Answer: A) 13%

Explanation:

The ratio of money she lended is

24000 : 16000 = 3 : 2

Let the rate of interest be R%

 

8%                   R%
     

           10

 

3          :           2

 

R = 13%.

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Filed Under: Profit and Loss
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10 4381
Q:

Give the iupac name for the following compound?

che1530787063.jpg image

A) Sec-Butylcyclohexine B) Isopropylcyclohexane
C) 2-Cyclohexybutane D) None of the above
 
Answer & Explanation Answer: B) Isopropylcyclohexane

Explanation:
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Filed Under: Chemistry
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3 4380
Q:

A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work  ?

A) 8.7 hrs B) 5.2 hrs
C) 5 hrs D) 7.5 hrs
 
Answer & Explanation Answer: D) 7.5 hrs

Explanation:

Ratio of times taken by A and B = 160 : 100
A can do the work in 12 days
Let B can do the work in "D" days
=> 160:100 = 12 : D
=> D = 12 x 100/160 = 7.5 hrs

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Filed Under: Time and Work
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3 4374
Q:

On selling 17 balls at Rs.720 there is a loss equal to the cost price of 5 balls. Then what is the cost price of a ball is ?

Answer

From given data,


(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)


C.P. of 12 balls = S.P. of 17 balls = Rs.720.


Hence, C.P. of 1 ball = Rs.720/12 = Rs. 60.

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Subject: Profit and Loss Exam Prep: AIEEE , Bank Exams , CAT , GATE
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11 4364
Q:

A woman fills a bucket in 6 minutes. 1845 buckets have to be filled from 8 am. to 9:30 am. How many woman employees should be employed for this task?

A) 111 B) 117
C) 123 D) 139
 
Answer & Explanation Answer: C) 123

Explanation:

We know that, M1 × D1W1 = M2 × D2W2

Here M1 = 1, D1 = 6 min, W1 = 1 and M2 = M, D2 = 90 min, W2 = 1845

 

1 × 61 = M × 901845 

=> M = 123

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Filed Under: Time and Work
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8 4358
Q:

From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ?

519 328 746 495 837

A) 146 B) 203
C) 345 D) 96
 
Answer & Explanation Answer: A) 146

Explanation:

From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ?

Now arranging the given numbers in descending order.
837 746 519 495 328

519 - 746/2 = 519 - 373 = 146.

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Filed Under: Numbers
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Q:

Everyone has it and no one can lose it. What is it?

A) Face B) Teeth
C) Hair D) Shadow
 
Answer & Explanation Answer: D) Shadow

Explanation:
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3 4353
Q:

An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 600 km from the starting point ?

A) 6 hrs 24 min B) 6 hrs
C) 7 hrs 21 min D) 6 hrs 28 min
 
Answer & Explanation Answer: D) 6 hrs 28 min

Explanation:

Time taken to cover 600 km = 600/100 = 6 hrs.

Number of stoppages = 600/75 - 1 = 7

Total time of stoppages = 4 x 7 = 28 min

Hence, total time taken = 6 hrs 28 min.

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Filed Under: Time and Distance
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5 4349