Quantitative Aptitude - Arithmetic Ability Questions

If a2+b2+c2=14 and a+b+c=6, then the value of ab+bc+ca is,

A can do a work in 36 days and B in 12 days. If they work on it together for 3 days, then what fraction of work is left?

9 women can complete a work in 50 days. If more 6 women were added to them, how many days before the work can be completed?

M can complete 3/4 part of a work in 12 days and N can complete 2/7 part of the same work in 8 days. In how many days will both complete 11/14 part of the total work?

Find the angular elevation of the sum when the shadow of a 15m long pole is 152meters

The sum of a fraction and 4 times its reciprocal is 13/3. What is the fraction?

A rectangular swimming pool of length 20 m and breadth 10 m has a uniformly sloping floor. It is 1 m in depth on one end of its length and 3 m at the other. How much water is needed to completely fill this pool? (Take π = 22/7)

If 7A = 5B = 2C; find A : B : C.