Quantitative Aptitude - Arithmetic Ability Questions

If √20 + √125 = 15.65, then what is the value of √45 + √5?

A solid right circular cone of radius 4 cm and height 7 cm is put inside a cylindrical vessel of radius 5 cm and height 8 cm. How much water in cubic cm will be required to fill the cylindrical vessel completely?

What is the value of 2 - 2z + z22 + 2z - z2, when z+2z = 2 ?

Two circles touch externally. The sum of their areas is 130π sq.cm and the distance between their centers is 14 cm. The radius of the bigger circle is

If a+1a2 = 3, then the value of a18+ a12+a6 + 1 is

The least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case, but when divided by 9 leaves no remainder, is:

The sum of 15 observations of a data is (434 + x). If the mean of the data is x, then the value of x is

Working together, pipes A and B can fill an empty tank in 10 hours. They worked together for 4 hours and then B stopped and A continued filling the tank till it was full. It took a total of 13 hours to fill the tank. How long would it take A to fill the empty tank alone?