Questions

Without using formula, find the annual compound interest on: 

1. Rs 10000 at 10$\%$ for 2 years
2. Rs 8000 at 8$\%$ for 3 years
3. Rs 12000 at 5$\%$ for 3 years
4. Rs 15000 at 4$\%$ for 2 years

If n(A) = 40, n(B) = 60 and $\rm n (A \cup B) = 80$, then

1. find the value of $\rm n( A \cap B)$.
2. find the value of $\rm n_o (A)$.
3. show it in a Venn Diagram.

If A and B are two subsets of a universal set U in which, n(U) = 70, n(A) = 40, n(B) = 20, and $\rm n \overline { A \cup B}$ = 15 then

1. Show the above information in a Venn diagram.
2. Find the value of $\rm n ( A \cap B)$.

A and B are two subsets of a universal set U in which n(U) = 43, n(A) = 25, n(B) = 18, and n(A $\rm \cap$ B) = 7.

1. Draw a Venn diagram of the above information.
2. Find the value of $\rm n \overline{ A \cup B} $.

If n(A) = 40, n(B) = 60, and n(A $\rm \cup$ B) = 80,

1. Find the value of n (A $\rm \cap$ B).
2. Draw a Venn diagram of the above information.

In a school, 640 teachers like either milk or curd or both. The ratio of the number of teachers who like milk to the number of teachers who like curd is 3:2 and 160 teachers like both milk and curd. Find:

1. Find the number of students who like milk.
2. Find the number of students who like curd.
3. Find the number of students who like only one: milk or curd.
4. Show the results in a Venn diagram.

1000 students in a school like Nepali, History, or both subjects. Out of them, 400 like both subjects. If the ratio of the number of students who like Nepali and History is 3:2, by using the Venn diagram, find

1. Find the number of students who like Nepali.
2. Find the number of students who like History.
3. Find the number of students who like only one subject.
4. Show the results in a Venn diagram.

250 students in a group were asked whether they like mango or apple. 80 students like mango but not apple and 50 students like apple but not mango. If 50 students do not like both of the fruits, then,

1. Let M and A represent the set of students who like mangoes and apples respectively then write the value of $\rm n_o(M)$ and $\rm n_o(A)$.
2. Show the given information in a Venn diagram.
3. Find the number of students who like both mangoes and apples.
4. Find the ratio of the students who like mango to the students who like apple.

Out of 100 students in a class, 20 students like Maths but not Science, and 30 students like Science but not Maths. If 20 students like neither of the subjects

1. Let M and S represent the set of students who like Maths and Science respectively then write the value of $\rm n_o(M)$ and $\rm n_o(S)$.
2. Show the given information in a Venn-diagram.
3. Find the number of students who like both Maths and Science.
4. Find the ratio of the students who like Maths to the students who like Science. 

Out of 75 students of class X, 30 passed in Mathematics and 40 in Social Studies in the final examination, but 10 failed in both subjects and 5 were absent in the examination.

1. If M and S represent the set of students who passed in Maths and Social Studies, find the value of n(M) and n(S).
2. Find the total number of students who failed in both subjects.
3. Find the number of students who passed in both subjects.
4. Show the given information in a Venn-diagram. Which region in the Venn-diagram represents the minimum number of students?