Quantitative Aptitude - Arithmetic Ability Questions

Find the odd words/letter/number from the given alternatives:

What is the value of (tan60 + 1/3) ?

15 small rods, each of length 23 2/7 m are joined to make a big rod. What then is the length of the big rod?

By what least number should 1200 be multiplied so that it becomes a perfect square?

If the sum of a number and its reciprocal be 2, then the number is

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm . When a few solid spherical metallic balls each of radius 1⁄2 cm are dropped in the vessel , 25% water is overflowed. The number of balls is:

Find the least number among  59, 949, 0.43 and 0.72.