Quantitative Aptitude - Arithmetic Ability Questions

If the sum of ten different positive integers is 100, then what is the greatest possible number among these 10 numbers?

Divide 32 into two parts such that the sum of the square of the parts is 674. What is the value of the parts?

The measures of the four angles of a quadrilateral are in the ratio 1:2:3:4. What is the measure of the biggest angle?

If a+1a2 = 3, then the value of  a3+1a3 is

If 7x - [3(2x - 3)]/2 = 1/2, then what is the value of x?

If Tan θ = 4/3, then what is the value of Sin θ?

In a college union, there are 48 students. The ratio of the number of boys to the number of girls is 5:3. The number of girls to be added in the union, so that the number of boys to girls in 6:5 is

The ratio of the heights of Nani and Leelu is 4 : 3. If Leelu is 1.2 m tall, then what is the height of Nani?