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?

What is the Number of candidates who had applied if the ratio of selected to unselected was 14 : 25. If 35 less had applied and 10 less selected, the ratio of selected to unselected would have been 3 : 5?

If 13A = 11B = 8C, find A : B : C

If a3 + b3 = 28 and a + b = 4, then what is the value of ab?

Abhay and Chintan are riding their motorcycles. They start from the same point. Abhay rides 7 km North, then turns to his left and rides 4 km. In the meanwhile Chintan rides 6 km West, then turns North and rides 7 km, then turns to his left and rides 8 km. Where is Abhay with respect to Chintan?

Chords PQ and RS of a circle extended externally intersect at point T. Length of the segment PT, if lengths of QT, RT and ST are 9 cm, 18 cm and 6 cm respectively, is

What is the third proportional to 9 and 45?

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