Quantitative Aptitude - Arithmetic Ability Questions

A spherical lead ball of radius 6 cm is melted and small lead balls of radius 3 mm are made. The total number of possible small lead balls is

If 6/7th of 8/5th of a number is 192, then 3/4th of that number is _____.

The ratio of three numbers is 2 : 3 : 5. If the sum of the three numbers is 275, then what is the largest among the three numbers?

If cosec θ + sinθ = 5/2 then the value of cosecθ - sinθ is

Two numbers are 90% and 75% lesser than a third number. By what % should the first number be increased so that it becomes equal to the second number?

If x2+ x = 19, then what is the value of (x + 5)2+ [1/(x + 5)2]?

Pradeep has done 1/4th of a job in 14 days, Saquib completes the rest of the job in 56 days. In how many days can they together complete the job?

Two spheres of equal radius are taken out by cutting from a solid cube of side (12 + 4√3) cm. What is the maximum volume (in cm3) of each sphere?