If  and , then the value of x²y² (x² + y² + 3) is

• 0

• 1

• 2

• 3

If  and  then the value of x² + 4y² is

• 1

• 2

• 3

• 4

When the angle of elevation of the sun increases from 30° to 60°, the shadow of a post is diminished by 5 m. Then, the height of the post is

• 5√3 / 2 m

• 2√3 / 5 m

• 2 / 5√3 m

• 4 / 5√3 m

144.

A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 25° in a distance of 40 m?

• 91.64 m

• 90.46 m

• 89.64 m

• 93.64 m

If sin θ + sin²θ = 1,  then the value of cos¹² θ + 3 cos ¹⁰ θ + 3 cos⁸ θ + cos⁶ θ - 1 is

• 0

• 1

• -1

• 2

Read the given information carefully and the questions given below.
Population of five adjacent areas of a town, in the year of 2010, are represented in the following pie-chart. The ratio of the numbers of males to that of females in these areas are stated in the table below. The total population in all the five years is 72 lakh.

Ratio of numbers of males (M) to females (F)


12 lakh is the population of the area

• S₁

• S₃

• S₅

• S₄

Read the given information carefully and the questions given below.
Population of five adjacent areas of a town, in the year of 2010, are represented in the following pie-chart. The ratio of the numbers of males to that of females in these areas are stated in the table below. The total population in all the five years is 72 lakh.


The number of males in the areas S₁ and S₄ together is

• 13.8 lakh

• 8.2 lakh

• 16.2 lakh

• 15.8 lakh

Read the given information carefully and the questions given below.
Population of five adjacent areas of a town, in the year of 2010, are represented in the following pie-chart. The ratio of the numbers of males to that of females in these areas are stated in the table below. The total population in all the five years is 72 lakh.


The ratio of number of females in the area S₂ to that in the area S₅ is

• 7 : 9

• 36 : 13

• 9 : 7

• 13 : 36

Read the given information carefully and the questions given below.
Population of five adjacent areas of a town, in the year of 2010, are represented in the following pie-chart. The ratio of the numbers of males to that of females in these areas are stated in the table below. The total population in all the five years is 72 lakh.


If in the year 2010, there was an increase of 5% population in the area S₁ and 8% increase in population of the area S₃ compared to the previous year, then the ratio of population in the areas S₁ and S₃ in the year 2009 was

• 108 : 35

• 27 : 10

• 27 : 70

• 10 : 3

Read the given information carefully and the questions given below.
Population of five adjacent areas of a town, in the year of 2010, are represented in the following pie-chart. The ratio of the numbers of males to that of females in these areas are stated in the table below. The total population in all the five years is 72 lakh.


The average of females population in all the five areas is lower than the female population in each of the areas

• S₁  and S₂

• S₂ and S₅

• S₂ and S₄

• S₄ and S₅