Quantitative Aptitude - Arithmetic Ability Questions

Jaikishen can do a piece of work in 15 hours. If he is joined by Jhanvi who is 50% more efficient, in what time will they together finish the work?

A cone of radius 7 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 3.5 cm. What will be the height of water in this vessel?

PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

If curved surface area of a cylinder is 616 sq cm and height is 14 cm, find its radius?

In the following question, select the related number from the given alternatives.
 
47 : 57 : : 93 : ?

If A alone can do a job in 40 days then, in how many days can B alone do the job if together they can do the job in 8 days?

If √(1 + cot2A) = x, then the value of x is

Find the value of 27a3 + 1a3, if 9a2 + 1a2 = 43