Quantitative Aptitude - Arithmetic Ability Questions

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 ?

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

If x = 999, y = 1000, z = 1001, then the value of x3+y3+z3-3xyzx-y+z is

A boat moves down stream at the rate of 8km/hr. and upstream at 4Km/hr. The speed of the boat in still waters is:

A sum of Rs 2489 is divided among A, B and C such that if Rs 12, Rs 12 and Rs 5 be diminish from the shares of A, B and C respectively, then theirshares will be in the ratio of 5 : 3 : 4. What is the new share (in Rs) of C?

3/5 of my current age is the same as 5/6 of that of one of my cousin. My age ten ago will be his age four years hence. My current age is ___ years.

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

If 13A = 11B = 8C, find A : B : C