Quantitative Aptitude - Arithmetic Ability Questions

Average of all even numbers between 222 and 250 is __________.

Of the 3 numbers whose average is 70, the first is 1/9 times the sum of other 2. The first number is

If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is

Meghnad can do a piece of work in 45 hours. If he is joined by Jayshri, who is 50% more efficient, in what time will they together finish the work?

Sachin lent out Rs 60000 in two parts, first at 4% and the second at 10% interest. The yearly average interest comes out to be 6.4%. What are the amounts (in Rs) that were lent at 4% and 10% respectively?

If a - b = 1 and ab = 6, then what is the value of a3- b3?

What is the value of (1/√3 + sin45 ) ?

Two whole numbers are such that the cube of first number exceeds the cube of second by 61 and the ratio of the numbers is 5:4. What is the value of larger number?