Secondary Education Examination (SEE)
Compulsory Mathematics
2081 (2025) · Lumbini · English medium
ℹ️ Answer all the questions. Give the answers creatively in your own style based on the given instructions.
- 1
In a survey conducted on the students studying in class ten of a school to determine suitable places for educational tours to Janakpur and Birgunj, it was found that 60 students considered Janakpur, 40 students considered Birgunj and 20 students considered both places suitable, but 10 students did not consider any of the two places suitable.
a)If 'J' and 'B' denote the set of students who prefer Janakpur and Birgunj respectively, write the set of students who considered both places suitable in cardinality notation.1
b)Present the above information in a Venn diagram.1
c)How many students are studying in class ten in the school? Find it.3
d)If the 10 students who did not consider any of the two places suitable had said Janakpur as a suitable place, then what would be the ratio of students who consider only Janakpur and only Birgunj as the suitable place? Find it.1
- 2
Anil deposited Rs. 2,00,000 in a bank at the rate of 10% p.a. compound interest for 2 years.
a)Write the formula for finding quarterly compound interest.1
b)How much annual compound interest did Anil receive in 2 years? Find it.2
c)If the bank provides the semiannual compound interest instead of the annual compound interest at the same rate of interest, how much more interest would be received by Anil? Find it.2
- 3
The present population of a municipality is 20,000 and the annual population growth rate is 3%.
a)Write the formula to find the population P(T) after T years if the initial population is P and the rate of annual growth is R.1
b)What will be the population of the municipality after 2 years? Find it.2
c)Is the calculation process of population growth and compound interest the same? Give your opinion.1
- 4
According to the money exchange rate of a certain time, one American dollar ($1) was equal to NRs. 136.04.
a)How many American dollars ($) can be exchanged with NRs. 20,406? Find it.1
b)How many Nepali rupees can be exchanged with American dollars 2,500 when Nepali currency is devalued by 2%? Find it.2
c)If the Nepali currency was revalued up by 2% instead of devaluation, how much less or more Nepali rupees can be obtained while exchanging 2,500 American dollars? Find it.2
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