Quantitative Aptitude - Arithmetic Ability Questions

A and B can do a piece of work in 24 and 30 daysrespectively. Both started the work and worked for 6 days.Then B leaves the work and C joins and the remaining workis completed by A and C together in 11 days. Find the days in which C alone can do the work

A mason can build a wall in 70 hours. After 7 hours he takes a break. What fraction of the wall is yet to be built?

ax + 5y = 8 has slope of -4/3. What is the value of a?

What is the length of the side of a regular hexagon, if its area is 54√3 sq cm?

Find the L.C.M of 4/5, 2/3 and 5/7.

What is the simplified value of (1– sin A cos A)(sin A + cos A)?

If a = 73, b = 74 and c = 75, then what is the value of a3 + b3 + c3 – 3abc?

If a-b=1 and a3-b3 = 61, then the value of ab will be