Quantitative Aptitude - Arithmetic Ability Questions

For real a, b and c if a2 + b2 + c2 = ab + bc + ca, then find the value of a+b+c2.

Pick the odd one out from the following

Pipes A and C can fill an empty cistern in 32 and 48 hrs, respectively while Pipe B can drain the filled cistern in 24hrs. If the three pipes are turned on together when the cistern is empty, how many hrs will it take for the cistern to be 2/3 full?

The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is:

The diagonals are congruent in a _____.

Present age of R and S are in the ratio of 3 : 2 respectively. If the present age of H is 117 years and R’s present age is 4/13 of H’s present age, then after how many years the ages of R and S would be in the ratio of 15 : 11?

Simple interest on a sum of Rs 6800 for 18 months is Rs 2244. What is the rate (in percentage) of interest per annum?

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If S divides PQ in the ratio 4:3 and length of QR is 4.9 cm, find ST?