Quantitative Aptitude - Arithmetic Ability Questions

If a = √2 + 1, b = √2 - 1 then the value of 1a+1+1b+1 ?

If x +y = √3 and x - y = √2, then the value of 8xy (x2 + y2) is

If Ram walks at the speed of 3 km/hr, then he reaches his school 6 minutes late but if he walks at the speed of 4 km/hr, then he reaches 4 minutes before the scheduled time. What is the distance (in km) of his school from his house?

A does 30% of a work in 30 days. He then calls in B and they together finish the remaining work in 20 days. How long B alone would take to do the whole work?

Find k, if the line 2x- ­3y = 11 is perpendicular to the line 3x + ky = -­4?

If a boat goes a certain distance at 30 km/h and comes back the same distance at 20 km/hr, what is the average speed (in km/hr) for the total journey?

0.08% of 120% of 50,000 is equal to __________.

Before a battle there were the ratio of captains to soldiers was 2 : 7. During the war 25 captains and 100 soldiers were martyred. The new ratio of captains to soldiers became 3 : 10. What is the number of soldiers after the war?