Quantitative Aptitude - Arithmetic Ability Questions

The angles of elevation of the top of a tree 220 meters high from two points lie on the same plane are 30° and 45°. What is the distance (in metres) between the two points?

The expression 52n –23n has a factor?

A mason can build a wall in 70 hours. After 7 hours he takes a break. What fraction of the wall is yet to be built?

In the given figure, in triangle STU, ST = 8 cm,TU = 9 cm and SU = 12 cm. QU = 24 cm, SR = 32 cm and PT = 27 cm. What is the ratio of the area of triangle PQU and area of triangle PTR?

A batsman makes a score of 95 runs in the 13th match and thus increases his average runs per match by 4. What is his average after the 13th match?

If x + y = 5, x3 + y3 = 35, then what is the positive difference between x and y?

In the following question, select the odd number pair from the given alternatives.

If 2x + 3y – 5z = 18, 3x + 2y + z = 29 and x + y + 3z = 17, then what is the value of xy + yz + zx?