Question 1

Time: 00:00:00
Minimum value of 12 cos^{2}\alpha + 3 sec^{2}\alpha is

14

14

12

12

11

11

10

10

Question 2

Time: 00:00:00



If cos X = m cos Y and where X and Y are not equal to each other and values of angle X and Y range from 0° to 90°, then 




cot (X + Y / 2) = [(m + 1) / (m – 1)] tan (Y – X / 2)
 

cot (X + Y / 2) = [(m + 1) / (m – 1)] tan (Y – X / 2)
 

tan (X + Y / 2) = [(m + 1) / (m – 1)] cot (Y – X / 2)
 

tan (X + Y / 2) = [(m + 1) / (m – 1)] cot (Y – X / 2)
 

cot (X + Y / 2)  = [(m + 1) / (m – 1)] tan (X – Y / 2)
 

cot (X + Y / 2)  = [(m + 1) / (m – 1)] tan (X – Y / 2)
 

cot (X + Y / 2) = [(m – 1) / (m + 1)]  tan (X – Y / 2)
 

cot (X + Y / 2) = [(m – 1) / (m + 1)]  tan (X – Y / 2)
 

Question 3

Time: 00:00:00
5x + 2(x + 7) = 14x – 7. Find x

2

2

3

3

4

4

None of these

None of these

Question 4

Time: 00:00:00
If x^{3} + y^{3} = 9 and x + y = 3, then the value of x^{4}+y^{4} is,

 

 

23

23

17

17

20

20

15

15

Question 5

Time: 00:00:00
log_{2}64

6

6

4

4

8

8

9

9

Question 6

Time: 00:00:00
Answer the questions based on the given figure below.



 

Out of the given years, in how many did the export was more than 10% as compared to the import?

1

1

2

2

3

3

4

4

Question 7

Time: 00:00:00
For all the years mentioned what is the average of the exports?

117.77

117.77

126.67

126.67

116.67

116.67

115.67

115.67

Question 8

Time: 00:00:00
From the numbers given in the figure below, what will be the average annual growth for the imports done from 2001 to 2005?

11

11

14.5

14.5

12

12

18.8

18.8

Question 9

Time: 00:00:00
From 2000 to 2005 in which was the growth in imports as compared to the previous years was the highest?

 

2001

2001

2002

2002

2003

2003

2004

2004

Question 10

Time: 00:00:00
In how many years does the export as well as import increases as compared to the previous years. And among them, in how many years was the percentage increase in export was greater than the percentage increase in imports

1

1

2

2

3

3

Zero

Zero

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null

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