Quantitative Aptitude - Arithmetic Ability Questions

Reflection of the point (4,­6) in the origin is

If "basis points" are defined so that 1 percent is equal to 100 basis points, then by how many basis points is 82.5 percent greater than 62.5 percent?

The ratio of sand to gravel in a mixture is 7 : 8 while that between gravel and cement is 6 : 7. What is the ratio of sand to cement in the mixture?

A natural number, when divided by 5,6,7 or 8,leaves a remainder of 4 in each case. what is the smallest of all such numbers?

A train of length, 245 metres, takes 20 seconds to cross a 355 metres long bridge. How much time (in seconds) will the train take to cross a 390 metres long platform?

The distance between two cities X and Y is 270 km. First train starts from X at 7:00 a.m. and travels towards Y at 40 km/hr. Second train starts from Y at 8:30 a.m. and travels towards X at 30 km/hr. At what time (in a.m.) will both the trains meet?

In triangle ABC, ∠ABC = 15 deg. D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)?

What will be the value of xy, if x2+y2 = 45 and x-y=5 ?