The sum of twice a number and thrice its reciprocal is 25/2. What is the number?

What is the value of (1 + cotA)2 + (1 -­ cotA)2?

If a + b = 8 and ab =15, then a3 + b3 is

If Gangadhar's salary is 3/11 times of Hari's and Shambhu's is 3/4 times of Hari's, what is the ratio of Gangadhar's salary to Shambhu's?

If secA/√(sec2A ­- 1) = x, then value of x is

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 198, then what is the difference between the first and the third number?

In Δ ABC, the median AD is 7 cm and CB is 14 cm, measure of ∠CAB is

A cone is hollowed out of a solid wooden cube of side 6 cm. The diameter and height of the cone is same as the side of the cube. What is the volume of the remaining cube?