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 ratio of two numbers is 6 : 11 and their difference is 65. What will be the smaller number among both the numbers?

The incomes of S and T are in the ratio 3 : 4 and their expenditures are in the ratio 1 : 1. If S saves Rs 4000 and T saves Rs 22000, then what will be the income (in Rs) of S?

If x - y = -8 and xy = 45, then (x2 + y2) is

From a point on a bridge across the river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 2.5m from the banks, then the width of the river is (take √3 = 1.732)

The average revenues of 11 consecutive years of a company is Rs 77 lakhs. If the average of first 6 years is Rs 72 lakhs and that of last 6 years is Rs 84 lakhs, What is the revenue for the Sixth year.

A and B can complete a task in 20 days, B and C can complete it in 30 days while C and A can do the same task together in 24 days. How many days will each of and C take to complete the task individually? 

A train travelling at 76 kmph crosses a 450 m long platform in 27 seconds. What is the length of the train?