Quantitative Aptitude - Arithmetic Ability Questions

What is the value of [tan (90 – A) + cot (90 – A)]2/[2 sec2(90 – 2A)]?

p3 + q3 + r3 – 3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3 – 3abc?

Weight of Ayush and Abhishek are in the ratio of 6:11. Abhishek's weight increases by 25% and total weight of Ayush and Abhishek both increases by 40%. If total weight becomes 119 kg, then wat is the weight (in kg) of Ayush after the increment?

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

Point A divides segment BC in the ratio 4:1. Co-ordinates of B are (6 , 1) and C are (7/2 , 6). What are the co-ordinates of point A?

Select the odd number from the given alternatives.

If sum of Rs.1000 amount to Rs.1331 in 3 years, compounded annually. Then, find the rate of interest per annum?

The greatest perfect square number of 6 digits is