Quantitative Aptitude - Arithmetic Ability Questions

What is the area (in sq cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm?

The length of one side of a rhombus is 13 cm and one of the diagonals is 10 cm. What is the legth of the other diagonal?

Product of digits of a 2­digit number is 12. If we add 36 to the number, the new number obtained is a number formed by interchange of the digits. What is the number.

7 litres mixture of milk and water contains 30% water. 3.5 litres of milk is added to this mixture. What is the percentage of water in the new mixture?

If sinθ+ cosecθ=2, then the value of sin-7∅+cosec7∅ is

In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then what is the value (in degrees) of ∠QPR?

By which least number should 5000 be divided so that it becomes a perfect square?

Find the unit digit in the given product (4211)102 x (361)52.