Quantitative Aptitude - Arithmetic Ability Questions

Δ DEF is right angled at E. If m∠F = 45°, then what is the value of 2 Sin F x Cot F?

If cot 60° + cosec 60° = x, then the value of x is

The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?

Twenty one times of a positive number is less than its square by 100. The value of the positive number is

The average of marks obtained by 100 candidates in a certain examination is 30. If the average marks of passed candidates is 35 and that of the failed candidates is 10, what is the number of candidates who passed the examination?

A money lender lends Rs. 400 for 3 years to a person and lends Rs. 500 for 4 years to the other person at the same rate of simple interest. If altogether he receives Rs. 160 as interest, what is the rate of interest per annum ?

What is that least number that must be added to the product 684 × 686 to make it a perfect square?

Point P is the midpoint of segment AB. Co-ordinates of P are (3 , 1) and B are (5, -4). What are the co-ordinates of point A?