61.

If  with , then the value of  is

• 1

• 0

• 2

• 2

The ratio between the vertical angle and a base angle of an isosceles triangle is 4 : 3. The value of any one base angle is

In  and . Find the measurement of 

a and b are irrational numbers such that a + b = q is a rational number, then a - b is

• always rational

• sometimes rational

• always irrational

• always irrational

The height of a right circular cylinder is twice its radius of the base. If its height be 6 times its radius of the base, then the volume of the cylinder will be 539 cm³ more. Assuming  the height of the cylinder is

• 5 cm

• 7 cm

• 9 cm

• 9 cm

The average age of 40 students of a class is 16 years. If the average age of 24 students is  and that of the 15 students is  then the age of 40th student is

• 17

• 16

• 16.5

• 16.5

A contractor has got two orders A and B. On one (A) he spends ₹ 25,000/- and makes a bill of ₹ 30,500/-. On the other (B) he makes a bill keeping a profit of 20%. Which of the two orders is more profitable to him?

• B

• A

• A nor B

• A nor B

If  the value of 

• 1

• -1

• 0

• 0

Two circles with centres P and Q touch each other externally. A straight line drawn through the point of contact intersects the circle with centre P at A and the circle with centre Q at B. Then, which of the following is true?

• AP = BQ

• AP/BQ

• AP || BQ

• AP || BQ

If  and V₁ and V₂ are the minimum and the maximum values of  then  is equal to

• -36

• 36

• 72

• 72