Quantitative Aptitude - Arithmetic Ability Questions

In what ratio wheat costing Rs 17/kg mixed with another wheat costing Rs 12/kg to get a mixture costing Rs 13.5/ kg?

How many spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6 cm?

The 3rd and 6th term of an arithmetic progression are 19 and 37 respectively. What is the 13th term?

 In a fraction when 3 is added to its numerator and denominator it becomes 4/5. And it becomes 1/2 when 2 is subtracted from both the numerator and denominator. Find the fraction.

In a triangle, the length of the side opposite the angle which measures 45° is 16 cm, what is the length of the side opposite to the angle which measures 90°? 

What is the area (in square units) of the figure enclosed by the graphs of the lines x = -4, x =2, y = -2 and y = 3?

P + Q = 2(P-Q). If Q = 10, what is the value of P?

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.