Quantitative Aptitude - Arithmetic Ability Questions

The sum of the cubes of two numbers in the ratio 3 : 4 is 5824. The sum of the numbers is:

The perimeter and the breadth of a rectangle are 44 cm and 10 cm respectively. Find its area (in cm2).

Alarms from 3 different clocks sound after every 2, 4 and 6 hours, respectively. If the clocks are startedat the same 6 time, how many times do the alarms ring together in 3 days?

At what point does the line 2x - 3y = 6 cuts the X axis?

Atul and Binay together complete a piece of work in 5 days. If Binay alone can complete the same work in 8 days, how many days Atul take to complete the same work alone?

What is the value of S = 11x3x5 + 11x4 + 13x5x7 + 14x7 + 15x7x9 + 17x10 + ... upto 20 terms. Then what is the value of S? 

When [x + (1/x)] = 5, then what is the value of [x – (1/x)]?

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.