Quantitative Aptitude - Arithmetic Ability Questions

What is the equation of line whose slope is -1/2 and passes through the intersection of the lines x - y = -1 and 3x - 2y = 0?

Speed of a boat along and against the current are 14 kms/hr and 8 kms/hr respectively. The speed of the current is

If a + b = 8 and ab = 15, then what is the value of a3 + b3?

If sin P + cosec P = 2, then the value of sin7P + cosec7P is

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

Select the odd word from the given alternatives.

The ratio of the amount of work done by (x-1) labours in (x+1) days and that done by (x+1) labours in (x+2) days is 5 : 6. Then the value of x is

ΔPQR is right angled at Q. QS is the altitude. PQ is 2√13 cm and PS is 8 cm. What is the length of SR?