Quantitative Aptitude - Arithmetic Ability Questions

In a quadrilateral PQRS, l_S= 90°. A circle (o, r) touches the sides PQ, QR, RS and SP at A, B, C and D respectively. If QR= 38 cm, RS = 25 cm and QA = 27 cm, find 'r'.

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QTis 25 cm, then what is the distance (in cm) between the centers O1 and O2 of the two circles?

In a class of 50 students there are 27 boys. The average weight of these boys is 72 Kg and average weight of the full class is 55.44 kgs. What is the average weight (in kgs) of the girls of the class?

The mean of marks secured by 50 students in division A of class X is 61, 25 students of division B is 57 and that of 50 students of division C is 55. What will be the mean of marks of the students of three divisions of Class X?

Three numbers are in the ratio of 3:5:10 and their LCM is 630. Find their HCF.

If (X/4) = (Y/5) = (Z/9), then what is X : Y : Z?

What is the slope of the line parallel to the line passing through the points (4,-2) and (-3,5)?

If a + b = 3 and ab = -4, then what is the value of a3 + b3?