# CBSE [All India ]_X_Mathematics_2008_Set II

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• Q1

In figure, if  ATO = 400, find AOB.

Marks:1

Given, ATO = 400AOT = 500.

Now,   AOB = 2 AOT

= 1000.

• Q2

If tan = cot(30 +  ), find the value of .

Marks:1

Given,
tan = cot(30 + )
tan = tan(90 - (30 + ))    [ cot = tan(90 - )]
= 60 -
2 = 60   or  = 30

• Q3

Find the perimeter of figure, where AED is a semi-circle and ABCD is a rectangle.

Marks:1

Perimeter of figure = AB + BC + CD + length of AED

= 20 + 14 + 20 + half of the circumference of the circle

= (54 + 22) cm

= 76 cm.

• Q4

A bag contains 4 red and 6 black balls. A ball is taken out of the bag at random. Find the probability of getting a black ball.

Marks:1

Total numbers of outcomes (balls) = 6 + 4 = 10

Number of black balls = 6
Probability of getting black ball = (6/10) = (3/5)

• Q5

Find the median of the following data:

 Marks obtained 0-10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 Frequency 8 10 12 22 30 18

Marks:1

 Class Intervals Frequency Cumulative frequency 0 - 10 8 8 10 - 20 10 18 20 - 30 12 30 30 - 40 22 52 40 - 50 30 82 50 - 60 18 100 N = fi = 100

N = fi = 100, (N/2 = 50)

Now, 30- 40 is the class whose cumulative frequency 52 is greater than N/2 = 50.

Therefore, 30-40 is the median class.

• Q6

Write a rational number between  2 and 3..

Marks:1

2 = 1.414 (approx), 3 = 1.732 (approx)

3/2 lies between 2 and 3.

• Q7

Write the number of zeros of the polynomials Y = f(x), whose graph is given in the figure.

Marks:1

The number of zeroes are 3 as the graph intersects the x-axis at three points.

• Q8

Is x = -3 a solution of the equation 2x2 + 5x + 3 = 0 ?

Marks:1

On putting x= -3 in equation 2x2 + 5x + 3 = 0, we have
LHS = 2 x 9 - 15 +3

= 6 0.

LHS RHS.

Thus, x = -3 is not a solution of the given equation.

• Q9

D, E and F are the mid-points of the sides AB, BC and CA respectively of ABC.
Find [ar(DEF)/ar(ABC)].

Marks:1

• Q10

Write the next term of the A.P 8, 18, 32, ...

Marks:1