GATE Questions

Q:

Pick an odd man in the given number series?

4 12 38 87 198

A) 12 B) 38
C) 87 D) 198
 
Answer & Explanation Answer: A) 12

Explanation:

The given series follows a pattern that,

 

4 + 32 = 4 + 9 = 1313 + 52 = 13 + 25 = 3838 + 72 = 38 + 49 = 8787 + 92 = 87 + 81 = 198 

 

Hence, the odd man in the given number series is 12.

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Q:

Find the odd man out of the following number series?

1/2, 1, 3/2, 6, 5/2, 3

A) 1 B) 6
C) 5/2 D) 3/2
 
Answer & Explanation Answer: B) 6

Explanation:

The given series is 1/2, 1, 3/2, 6, 5/2, 3

1/2

1/2 + 1/2 = 1

1 + 1/2 = 3/2

3/2 + 1/2 = 2 (Not 6)

2 + 1/2 = 5/2

5/2 + 1/2 = 3

 

Hence, the odd man in the given number series is 6.

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1 33637
Q:

Arrange the following words in an appropriate order


1. Rainbow   2. Rain   3. Sun    4. Happy    5. Child

A) 4, 2, 3, 5, 1 B) 4, 5, 1, 2, 3
C) 2, 1, 4, 5, 3 D) 2, 3, 1, 5, 4
 
Answer & Explanation Answer: D) 2, 3, 1, 5, 4

Explanation:

Firstly Rain falls and then Sun comes and Rainbow forms. After that Child sees the rainbow and feels Happy.

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30 33148
Q:

Complete the given number series?

8, 14, 24, 40, ? 

A) 65 B) 84
C) 96 D) 102
 
Answer & Explanation Answer: A) 65

Explanation:

The given number series is 8, 14, 24, 40, ? .

It follows a pattern that,

8

8 x 1.5 + 2 = 14

14 x 1.5 + 3 = 24

24 x 1.5 + 4 = 40

40 x 1.5 + 5 = 65

 

Hence, the next number in the given number series is 65.

 

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Q:

Wellington Trophy is related to which game ?

A) Rowing B) Hockey
C) Tennis D) Polo
 
Answer & Explanation Answer: A) Rowing

Explanation:

Rowing is the game to which Wellington Trophy is related to. In this participants will be in race in rivers.

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123 33006
Q:

A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ?

A) 34 B) 36
C) 35 D) 37
 
Answer & Explanation Answer: D) 37

Explanation:

16x + 85 = 17(x + 3)

x = 34 + 3 = 37

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41 32939
Q:

Study the given bar graph and pie chart to answer the following questions.

The bar graph shows the production (in thousand tonnes) of Wheat, Rice and Maize in different states.

The pie-chart shows the percentage of agricultural land in the given six states.

Productivity = 

1.The productivity of which state is the maximum ?

1. Bihar       2. Haryana     3. Punjab     4. UP       5. MP

 

2.The production of which state is the maximum ?

1. Bihar       2. MP         3. Haryana       4. UP       5. Punjab

 

3.The prodution of wheat in punjab is what per cent more than the production of Maize in odisha ?

1. 350%       2. 250%       3. 300%       4. 200%       5. 400%

 

4.What is the ratio of the production of Rice in Bihar to the production of Wheat in Haryana ?

1. 2:3           2. 3:2           3. 2:1           4. 1:1             5. 1:2

 

5.If MP exports 40% of Rice at the rate of Rs.30 per kg and UP exports 30% of Rice at the rate of Rs.32 per kg, then what is the ratio of the income from the exports ?

1. 65:48       2. 31:42       3. 43:54       4. 57:62       5. 1:2

Answer

1. Answer : 2


Explanation : Productivity = Total production/area of Agr.land 


Productivity of UP = [ (35000+30000+25000) / (30/100) ] = 300000  


Productivity of MP = [ (30000+37500+27500) / (25/100) ] = 380000  


Productivity of Bihar = [ (22500+27500+25000) / (20/100) ] = 375000 


Productivity of Odisha = [ (22500+15000+10000) / (5/100) ]= 950000  


Productivity of Haryana = [ (30000+25000+35000) / (8/100) ] = 1125000  


Productivity of Punjab = [ (40000+35000+30000) / (12/100) ] = 875000 


The Productivity of Haryana is the maximum.  


 


 


2. Answer : 5  


Explanation : Production of Punjab is maximum = 105000 tonnes 


 


 


3. Answer : 3 


Explanation : Production of Wheat in Punjab = 40000 tones


Production of Maize in Odisha = 10000 tones


Required % = (40000 - 10000)/100 = 300% 


 


 


4. Answer : 4 


Explanation : The ratio of prodution of Rice in Bihar to the production of Wheat in Haryana = 25000 tonnes : 25000 tonnes = 1 : 1  


 


 


5. Answer : 1  


Explanation : Income of MP from export of 40% of Rice at the rate of Rs.30 per kg = Rs.39crore


Income of UP from export of 30% of Rice at the rate of Rs.32 per kg = Rs.28.8 crore 


Required ratio = 39 : 28.8 = 390 : 288 = 65 : 48

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137 32786
Q:

Find the odd man out of the following series?

6, 8, 5, 10, 4, 14

A) 8 B) 10
C) 4 D) 5
 
Answer & Explanation Answer: C) 4

Explanation:

The given number series is 6, 8, 5, 10, 4, 14

6

6 + 2 = 8

8 - 3 = 5

5 + 5 = 10

10 - 7 = 3

3 + 11 = 14

...

 

Hence, the odd man in the given series is 4.

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