Quantitative Aptitude - Arithmetic Ability Questions

A = (x8 – 1)/(x4 + 1) and B = (y4 – 1)/(y2 + 1). If x = 2 and y = 9, then what is the value ofA2 + 2AB + AB2?

Given: 5x -3(2x-7) > 3x - 1 < 7 + 4x; then x can take which of the following values?

What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?

BD and CE are two medians of the triangle ABC. If EO = 7 cm, then the length of CE is

Ramesh and Rahman can do a work in 20 and 25 days respectively. After doing collectively 10 days of work, they leave the work due to illness and Suresh completes rest of the work in 3 days. How many days Suresh alone can take to complete the whole work ?

A man engaged a servant on a condition that he would pay him Rs. 80 and a pair of jeans after service of one year. Servant served for only 9 months and receives a pair of jeans and an amount of Rs. 55. The price of the jeans is ________.

In the following question, select the related number from the given alternatives.
 
47 : 57 : : 93 : ?

Find the number of prime factor of 1024.