If p : q : r = 2 : 3 : 5, then what will be the ratio of (p + q + r) : (3p + q – r)?

If a number is reduced by 35%, then it becomes 416. By how much percent should the number be increased so that it become 876.8?

A circle has points P, Q, R on a circle in such a way that angle PQR is 60 deg and angle QRP is 80 deg. Calculate the angle subtended by an arc QR at the centre.

Calculate the length (in cm) of the chord of the circle which is at the distance of the 12 cm from the centre and at the radius of the circle is 13 cm.

From which of the following quadrants does the line 7x + 12y = 16 will pass?

If (8, 2) is a solution of x + 4y - 2k = 0 then find the value of k2.

The sum of the square of three consecutive odd numbers is 2195. Find the numbers.

The sum of a fraction and its reciprocal is 113/56. Find the fraction.