Quantitative Aptitude - Arithmetic Ability Questions

If  P2+1P2 = 47, then the value of P + 1P is

The angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be α and β (α>β). The height of the tower is h unit. A possible distance (in the same unit) between the points is

In the given figure, AB is a diameter of the circle with center O and XY is the tangent at a point C. If ACX = 35 deg, then what is the value (in deg) of CAB?

If (x – y) = 7, then what is the value of (x – 15)3 – (y – 8)3?

One of the diagonal of a rhombus is 70% of the other diagonal. What is the ratio of area of rhombus to the square of the length of the larger diagonal?

What number should be added to each of the numbers 94, 24, 100 and 26, so that the resulting numbers are in continued proportion?

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

24 men can complete a piece of work in 18 days while 12 women can complete the same piece of work in 28 days. 27 men start working and are replaced by 14 women after 8 days. In how many days will 14 women finish the remaining work?