Questions

In a survey of 119 students, it was found that 16 drink neither milk nor tea and 69 drink milk and tea.

1. Show the given information in a Venn diagram.
2. How many students drink milk only?
3. How many students drink tea only?
4. How many students like either of the drinks?

In a group of 100 students, 68 liked the football game, 60 liked the volleyball game and 2 didn't like any of the games.

1. Shwo the given information in a Venn diagram.
2. How many students like both games?
3. How many students like only football?
4. How many students like either of the games?

In a survey before an election, 65% of people liked leader A and 60% of people liked leader B. If 15% of people did not like to open their opinion about any of the leaders,

1. If A and B denote the set of people who like leader A and leader B respectively and n(U) = 100 then find n(A) and n(B).
2. Show the given information in a Venn-diagram.
3. Find the percentage of people who liked both the leaders by using the Venn diagram.
4. Find the percentage of people who like either of the leaders.

In a class of 30 students, 20 students like to play cricket and 15 like to play volleyball. Also, each student likes to play at least one of the two games.

1. If C and V be the set of students who like cricket and volleyball respectively then find the cardinality of C and V.
2. Illustrate the above information in a Venn diagram.
3. Find the number of students who like either of the games.
4. How many students like to play both the games?

The height of a square-based pyramid is 21 cm and the length of the base is 20 cm.

1. How many triangular surfaces are there in a square-based pyramid? Write it.
2. Find the slant height of the pyramid.
3. What is the total cost of painting the total surface area of the pyramid at the rate of Rs. 5 per square cm? Find it.

A man went to the Bank to exchange American dollars to visit abroad. In that day, according to the money exchange rate, the buying rate of the American Dollar is Rs. 132 and the selling rate is Rs. 133.

1. How many dollars does the man receive while exchanging American dollars with Rs. 332500? Find it.
2. How much Nepali rupees does his friend receive while exchanging American dollars 2800 on the same day? Find it.
3. After 10 days, the selling rate for American dollar 1 becomes Rs. 138.22, then by what percent the Nepali currency was devaluated? Find it.

A minibus is purchased for Rs. 40,00,000. After using the bus for three years, Rs. 15,00,000 is earned. The value of the bus depreciates at the rate of 15% per annum and the minibus is sold after three years.

1. If the purchasing price of the bus is Rs. $\rm V_{o}$, the annual rate of compound depreciation is $\rm R$%, and price of the bus after T years is Rs. $\rm v_{t}$, the express $\rm V_{t}$ in terms of $\rm V_{o}, R, \ and \ T$.
2. Find the selling price of the bus after three years.
3. FInd the total profit or loss in percent through the total transaction of that minibus.

A retired teacher deposited Rs. 80,000 in own account at the development bank for two years to get half-yearly compound interest at the rate of 10% per annum.

1. How many times the interest is calculated according to the semi-annual compound interest in 2 years? Write it.
2. According to the half-yearly compound interest, what would be the compound interest received by the teacher at the end of 2 years? Find it.
3. According to the same rate of yearly compound interest, in how many years will the compound amount of Rs. 80,000 be Rs. 1,06,480? Find it.

Find the foreign exchange rates published by Nepal Rastra Bank for today and compare the exchange with the exchange rates given in this book. Write your conclusion about the value of money.

The plane fare of Qatar Airlines, from Kathmandu to the USA, in Kathmandu is Rs 120000. If the ticket is bought in the USA then it costs \$ 1400. ).[\$ 1=Rs 130]

1. Which place is cheaper?
2. By what percentage the place is cheaper?
3. If the Euro is devaluated by 5% then find the cost of ticket bought in USA.
4. Which place will be cheaper if the Nepali currency is revaluated by 10%?