GATE Questions

Q:

A Shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net Profit or loss that he makes? 

A) 4% B) 5%
C) 6% D) 8%
 
Answer & Explanation Answer: A) 4%

Explanation:

SP of first article = Rs.1000

 

Profit = 20%

 CP = SP x 100100+P% = Rs. 25003

SP of Second Article = Rs.1000

 Loss = 20%

 CP = SP x 100100-L% = Rs. 1250

 

So, Total SP = Rs.2000; Total CP = Rs.6250/3

 

As the CP is more than SP, he makes a loss.

 

Loss = CP - SP = (6250/3) - 2000 = Rs.(250/3)

 

So, Loss Percent = Lossx100/CP = 4%

 

 

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Filed Under: Profit and Loss
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79 36559
Q:

Find the Odd One Out?

3 24 186 1008 5040 20160

A) 24 B) 20160
C) 186 D) 5040
 
Answer & Explanation Answer: C) 186

Explanation:

The given number series is 3  24  186  1008  5040  20160

Here  the given series follows a pattern that,

3

3 x 8 = 24

24 x 7 = 168 not 186

168 x 6 = 1008

1008 x 5 =  5040

5040 x 4 = 20160

 

Hence the Odd One in the number series is 186.

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Filed Under: Odd Man Out
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3 36440
Q:

Which of the following is a popular programming language for developing multimedia webpages.

A) COBOL B) Java
C) BASIC D) Assembler
 
Answer & Explanation Answer: B) Java

Explanation:

Java is a general-purpose computer-programming language that is concurrent, class-based, object-oriented, and specifically designed to have as few implementation dependencies as possible.

 

Which_of_the_following_is_a_popular_programming_language_for_developing_multimedia_webpages1548652333.jpg image


Java is used to develop mobile apps, web apps, desktop apps, games and much more...

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158 36304
Q:

Find the wrong number in the given number series?

5, 8, 40, 90, 664

A) 8 B) 40
C) 90 D) 664
 
Answer & Explanation Answer: B) 40

Explanation:

The given number series is 5, 8, 40, 90, 664

5

5 - 1 x 2 = 8

8 - 3 x 4 = 20 (NOT 40)

20 - 5 x 6 = 90

90 - 7 x 8 = 664

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6 36150
Q:

A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained ?

A) 5:3 B) 1:4
C) 4:1 D) 9:1
 
Answer & Explanation Answer: D) 9:1

Explanation:

Milk = 3/5 x 20 = 12 liters, water = 8 liters

 

If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.

 

Remaining milk = 12 - 6 = 6 liters

Remaining water = 8 - 4 = 4 liters

 

10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.

 

The ratio of milk and water in the new mixture = 16:4 = 4:1

 

If the process is repeated one more time and 10 liters of the mixture are removed,
then amount of milk removed = 4/5 x 10 = 8 liters.

 

Amount of water removed = 2 liters.

 

Remaining milk = (16 - 8) = 8 liters.

Remaining water = (4 -2) = 2 liters.

 

Now 10 lts milk is added => total milk = 18 lts

 

The required ratio of milk and water in the final mixture obtained

 

= (8 + 10):2 = 18:2 = 9:1.

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Filed Under: Alligation or Mixture
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53 35892
Q:

Find the next number in the given number series?

2, 19, 0, 21, –2, ?

A) 23 B) 25
C) 27 D) 29
 
Answer & Explanation Answer: A) 23

Explanation:

The given number series 2, 19, 0, 21, –2, ? follows a pattern,

2

2 + 17 = 19

19 - 19 = 0

0 + 21 = 21

21 - 23 = -2

-2 + 25 = 23

 

Hence, the next number in the series is 23.

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2 35851
Q:

Find the next number in the given number series?

11, 5.5, 10, 6.5, 9, ?

A) 6.5 B) 7.5
C) 8.5 D) 10.5
 
Answer & Explanation Answer: B) 7.5

Explanation:

The given number series follows a pattern that

11

11 - 5.5 = 5.5

5.5 + 4.5 = 10

10 - 3.5 = 6.5

6.5 + 2.5 = 9

9 - 1.5 = 7.5

 

Hence, the next number in the given number series is 7.5.

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Filed Under: Odd Man Out
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2 35829
Q:

1 4 27 Sequence ...

Find the next two numbers in the above sequnce?

A) 256 & 3125 B) 3125, 46656
C) 46656, 859587 D) None
 
Answer & Explanation Answer: A) 256 & 3125

Explanation:

The above given sequence follows a pattern that,

 

122 = 433 = 2744 = 25655 = 312566 = 46656and so on...

Therefore, the next two numbers in the given sequence is 256 & 3125.

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6 35819