Quantitative Aptitude - Arithmetic Ability Questions

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?

Find the greatest number that will divide 390, 495 and 300 without leaving a remainder

If Giridhar's salary is 5/3 times of Hariraj's and Shaunak's is 2/3 times of Hariraj's, what is the ratio of Giridhar's salary to Shaunak's.

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

An army lost 10% of its men in war, 10% of the remaining died due to disease and 10% of the rest were declared disabled. Thus the strength of the army was reduced to 7,29,000 active men. The original strength of the army was

P and Q can do a project in 60 and 30 days respectively. In how many days can they complete 90% of the project if they work together?

In a colored picture of blue and yellow color, blue and yellow color is used in the ratio of 4:3 respectively. If in upper half, blue : yellow is 2:3, then in the lower half blue : yellow is

In the given figure, CD and AB are diameters of circle and AB and CD are perpendicular to each other. LQ and SR are perpendiculars to AB abd CD respectively. Radius of circle is 5 cm, PB : PA = 2 : 3 and CN: ND = 2 : 3. What is the length (in cm) of SM ?