Secondary Education Examination (SEE)
Compulsory Mathematics
2081 (2025) · Bagmati · English medium
ℹ️ Answer all the questions. Give the answers creatively in your own style based on the given instructions.
- 1
In the survey conducted on 120 households of a village, 70 households are doing homestay business, 50 households are doing agriculture business and 30 households do other work. The sets of household doing homestay and agriculture business are denoted by H and A respectively.
a)Write the cardinality notation of the number of households who do not do any of the homestay and agriculture business.1
b)Present the above information in a Venn-diagram.1
c)Find the number of households doing only one business.3
d)If 10 households who do other work start home stay business, find the ratio of homestay and agriculture business households.1
- 2
Ramesh borrowed the loan Rs.2,00,000 from the bank at annual compound interest rate of 7% per annum. After some time, he repaid Rs.2,28,980 including the principal and interest to the bank.
a)How much interest has Ramesh paid? Find it.1
b)For how many years has Ramesh used the loan? Find it.2
c)If the interest rate is reduced by 1%, how much amount would be paid by Ramesh? Find it.1
- 3
The present population of village 'A' is 4500 and village B is 5000. The annual population growth rate of village A is 2%.
a)What does P denote in the population after T years given below? Write it.1
b)If 200 people are added by migration in the village 'A' after 1 year, what will be the population after 1 year? Find it.1
c)If the population of village B decreases by the same growth rate of village A, what will be the population of village B after 2 years? Find it.2
- 4
When Rita came to Nepal from America, she brought 2500 American dollars ($). When she came to Nepal, the exchange rate of American dollar was as follows. $1 = NRs. 127.35 buying rate and $1 = NRs. 127.95 selling rate.
a)Which exchange rate is used to exchange Nepali currency by Rita from the bank? Write it.1
b)What is the profit or loss for Rita if she exchanges the American dollars into Nepali currency and then exchanges Nepali currency into American dollars after two days? Find it.2
c)On the same day, the exchange rate of $1 = NRs. 127.35 and NRs. 160 = Indian Rs. 100. How many dollars can be exchanged with Indian Rs. 1,20,000? Calculate it.2
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