A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3.Find his average after 17th match.

Find \(x\) when \(x - y = 3\)  and \( x^2 + y^2 = 89\) where \(x\) and \(y\) are integers.

 The radius of wheel of car’s axis is 50 cm. What is the distance that the car would cover in 14 revolutions?

 A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

Find the value of \(p\) when the line through the points \((2,2)\) and \((5,7) \) is perpendicular to the line \( 3x + py-9 = 0\)

P can do a piece of work in 5 days of 8 hours each and Q can do in 4 days of 6 hours each. How long will they take do it working 5 hours a day?

ITC sells one product at a profit of 20% another at a loss of 20% at the same selling price. What is the loss incurred by ITC?

What is the sum of the irrational roots of the equation \((x-1)(x-3)(x-5)(x-7)=9\)

A solid cylinder has total surface area of 462 cm² . If total surface area of the cylinder is thrice of its curved surface area. Then the volume of the cylinder is: