Quantitative Aptitude - Arithmetic Ability Questions

The average of 29 consecutive even integers is 60. The highest of these integers is

What is the value of sin225°+ sin265°?

Two trains move from stations M and N. Both trains move towards each other at speeds of 54 km/hr and 63 km/hr respectively. When they meeteach other, the second train has travel 100 km more than the first. What is the distance (in km) between M and N

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at a speed of 4 km/hour and partly on bicycle at a speed of 9 km/hour . The distance travelled on foot is

What is the remainder when 6910 is divided by 81?

If x3 – y3 = 81 and x – y = 3, then what is the value of x2 + y2?

P and Q are two alloys which are prepared by mixing tin and lead in the ratio of 12 : 5 and 4 : 3 respectively. If equal quantities of alloys are melted to form athird alloy R, then what is the ratio of tin and lead in alloy R?

If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?