Quantitative Aptitude - Arithmetic Ability Questions

For triangle PQR, find equation of altitude PS if co-­ordinates of P, Q and R are (1,2), (2,­-1) and (0,5) respectively?

ΔXYZ is right angled at Y. If m∠X = 30 deg, then find the value of (sinZ + √3).

Select the odd word/letters/number/number pair from the given alternatives.

If a3 + b3 + c3 - 3abc = 0, then the value of a2/bc + b2/ac - 3.

Find the radius of the circle if the length of its arc is 33 cm whose corresponding central angle is 90° ?

The sum of a fraction and 3 times its reciprocal is 31/6. What is the fraction?

The average age of 36 students in a group is 14 years. When the teacher's age is included in it, the average increases by one. The teacher's age in years is

Simple interest on a sum of Rs 3300 for 5 years is Rs 1980. What is the annual rate (in percentage) of interest?