Quantitative Aptitude - Arithmetic Ability Questions

What is the value of {sin (90 – x) cos [π – (x – y)]} + {cos (90 – x) sin [π – (y – x)]}?

A basket contains 300 mangoes . 75 mangoes were distributed among some students . Find the percentage of mangoes left in the basket

What is the area (in sq cm) of an equilateral triangle of side 14 cm?

The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent?

If 3 dozen guavas cost Rs. 90, how many guavas can be bought for Rs. 240?

What is the reflection of the point (-1 , 5) in the line x = 1?

If a + b + c + d = 4, then the value of 1(1-a)(1-b)(1-c) + 1(1-b)(1-c)(1-d) + 1(1-c)(1-d)(1-a) + 1(1-d)(1-a)(1-b)

If secA + tanA = x, then find the value of x.