Questions

Find the arithmetic mean between $\rm 6x^{2} $ and $\rm 2x^{2}$

Find the arithmetic mean between $(\rm \frac{p}{2} + \frac{q}{2} )$and $(\rm \frac{q}{2} - \frac {p}{2})$

Find the arithmetic mean between $\rm (a + b) $ and $\rm (a - b )$

Find the arithmetic mean between $\rm \frac{2}{9}$and $\rm \frac{6}{7}$

Find the arithmetic mean between $\rm \frac{11}{2}$and $\rm \frac{15}{2}$

Find the arithmetic mean between $\rm \frac{15}{4}$and $\rm \frac{19}{4}$

If n(A) = 65, n(B) = 50, n(C) = 35, n(A $\rm \cap$ B) = 25, n(B $\rm \cap$ C) = 20, n(C $\rm \cap$ A) = 15, n(A $\rm \cap$ B $\rm \cap$ C) = 5, and n(U) = 100,

1. Are the sets A, B, and C overlapping sets? Give reason.
2. Find the value of $\rm n(A \cup B \cup C)$.
3. Find the value of $\rm n \overline{ A \cup B \cup C }$.
4. Show the given information in a Venn diagram.

If A = {1, 2, 3}, B = {2, 3, 4}, and C = {3, 4, 5}, find $\rm n(A \cup B \cup C)$.

If A = {a,c,e}, B = {b,c,d}, and C = {a,c,d,f}, find $\rm n(A \cap B \cap C)$.

The population of a village increases every year by 5%. At the end of two years, the total population of the village was 10000. If 1025  were migrated to other places,

1. Find the total population at the end of 2 years.
2. What was the population of the village in the beginning?
3. Find the increased population in 2 years.