Quantitative Aptitude - Arithmetic Ability Questions

10 persons can do a job in X days. If 20 persons with twice the efficiency can do the same job in 5 days, then find the value of X?

What is the difference of the cube and square of the common root of (x2 – 8x + 15) = 0 and (y2 + 2y – 35) = 0?

In a class of 56 students there are 28 girls. The average weight of these girls is 46 kg and average weight of the full class is 51 kgs. What is the average weight of the boys of the class?

The sum of thrice a number and twice its reciprocal is 97/4. What is the number?

What is the area (in sq cm) of a rectangle if its diagonal is 51 cm and one of its sides is 24 cm?

Two identical hemispheres of maximum possible size are cut from a solid cube of side 14 cm. The bases of the hemispheres are part of the two opposite faces of cube. What is the total volume (in cm3) of the remaining part of the cube?

If x + y = 3, then what is the value of x3 + y3 + 9xy?

In what ratio does the point T (3,0) divide the segment joining the points S (4,­2) and U (1,4)?