Quantitative Aptitude - Arithmetic Ability Questions

Kamal has some apples. He sold 40% more than he ate. If he sold 70 apples, how many did he eat?

If x2+ x = 19, then what is the value of (x + 5)2+ [1/(x + 5)2]?

What is the sum of a3+b3+c3-3abc, when the value of a=4, b=2 and c=-6?

If cosθ1-sinθ+cosθ1+sinθ = 4, then the value of θ (0°<θ<90°)?

If Giridhar's salary is 5/3 times of Hariraj's and Shaunak's is 2/3 times of Hariraj's, what is the ratio of Giridhar's salary to Shaunak's.

In the following question, select the odd number pair from the given alternatives.

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given options.

90% of X = 40% of Y and Y = a% of X. What is the value of a?