Quantitative Aptitude - Arithmetic Ability Questions

P(3,1) and R(-7,5) are vertices of a rhombus PQRS. What is the equation of diagonal QS?

A jar contains a blend of a fruit juice and water in the ratio 5 : x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 : 1. What is the value of x?

The first and last terms of an arithmetic progression are 32 and ­-43. If the sum of the series is ­-88, then it has how many terms?

The point P(a, b) is first reflected in origin to P1 and P1 is reflected in Y-axis to (4, -3). What are the co-ordinates of point P?

Two successive discounts of 10% and 20% are equivalent to a single discount of

If secA + tanA = x, then the value of x is

What is the value of tan­ -240°?

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 429, then what is the difference between the first and the third number?