Quantitative Aptitude - Arithmetic Ability Questions

In ΔABC, AD is the median and AD = (1/2)BC. If ∠ACD = 40°, then what is the value (in degrees) of ∠DAB?

Two circles are having radii 9 cm and 12 cm. The distance between their centres is 15 cm. What is the length (in cm) of their common chord?

Point P (8 , 5) is the midpoint of segment AB. Co-ordinates of A are (5, y) and B are (x, -3). What is the value of x?

X is 25% more efficient than Y. If Y alone can make a chair in 10 days, then X alone can make the chair in how many days?

What is the value of cot 11π/6?

The point P(a,b) is first reflected in origin to P1 and P1 is reflected in y-­axis to (6,­-5). The co-­ordinates of point P are

Find the value of 'a' for which x+3x+a24 is a perfect square.

What is the value of cot210°?