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
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
D.
16.5
Total age of 40 students = 40 x 16 = 640 years
Total age of 24 students =
Total age of 15 students =
Age of 40th student = 640 - (372 + 250) = 640 - 622 = 18 years.
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
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