Divide 32 into four parts which are in A.P. such that the ratio of the product of extremes to the product of means is 7:15.

Divide 28 into four parts in an A.P. so that the ratio of the product of first and third with the product of second and fourth is 8:15.

Divide 21 into three parts in A.P. such that the product of the first and second parts is 21.

Divide 24 into two parts such that their product is maximum.

Divide 24 into two parts such that their product is maximum.

A man divides Rs. 24000 among his four sons in such a way that the amounts received by the four sons are in A.P. The ratio of the product of the amounts received by the 1st and the 3rd sons to the product of the amounts received by 2nd and 4th sons is 7 : 15. Calculate the amounts received by each son.

If the circumference of a circle be divided into five parts which are in A.P and if the greatest part be six times the least , find in radians the angles subtended by the parts at the centre.

Divide 5 into two parts such that the product of the square of one and the cube of the other may be the greatest possible.

The ratio of the 11th and 14th terms of an A.P. is 7:9, find the ratio of the 10th term to 3rd term of the series.

The ratio of the sum and the product of the roots of the equation 7x^(2)-12x+18=0 is ______.

Fill in the blanks the ratio of the sum of the roots and the product of the roots of an equation 7x^2-12x+18=0 is_________.