Quantitative Aptitude - Arithmetic Ability Questions

If a - b = -6 and a2 + b2 = 44, then ab is

The average weight of 10 parcels is 1.7 kg. Addition of another new parcel reduces the average weight by 60 gram. What is the weight , in kg, of the new parcel?

A number is greater than five times its reciprocal by 19/2. Find the number.

Find the remainder when 413 divided by 3?

Two buses are moving towards each other with speed of 20 km/hr and 34 km/hr respectively. What will be the distance (in metres) between the two buses one second before they collide?

If Giri's salary is 9/5 times of Hariprasad's and Shaukat's is 9/2 times of Hariprasad's, what is the ratio of Giri's salary to Shaukat's?

If α + β = 90° and α:β = 2:1, then the ratio of cosα to cosβ is

If 7x + 6y = 5xy and 10x ­- 4y = 4xy, then value of x and y is