Secondary Education Examination (SEE)
Compulsory Mathematics
2082 (2026) · Bagmati · English medium
ℹ️ Attempt all the questions. Give your answers in your own creative style based on the given instructions.
- 1
In a survey conducted among 120 students of a school, the ratio of the students who liked to play football only and volleyball only was found to be 2:1. Also there were 20 students who liked to play both football and volleyball and 10 students who did not like any of these two games.
a)If F and V are the sets of students who like to play football and volleyball respectively, write the set of students who like to play both games in cardinality notation.1
b)Present the given information in a Venn-diagram.1
c)Find the number of students who like to play football.3
d)By what percentage the number of students who like to play volleyball is more or less than the number of students who like to play football? Compare it.1
- 2
The difference between annual compound amounts of a sum of money in 1 year and 2 years at the rate of 10% annual compound interest is Rs. 47,250.
a)Find the sum.2
b)By how much the quarterly compound interest is more than the semi-annual compound interest of the same sum in one year? Find it.2
- 3
The current price of a machine is Rs. 50,000. Its price depreciates at the rate of 20% annually.
a)Define compound depreciation.1
b)How much price of the machine is depreciated in first year? Find it.1
c)Will it be possible to buy that machine at half of its current price after 3 years? Give logic with calculation.2
- 4
According to the exchange rate of Nepal Rastra Bank on the date of 11/25/2025, the buying rate and selling rate of 1 US dollar were NRs. 142.48 and NRs. 143.08 respectively.
a)Among the buying rate and selling rate, which one is used while exchanging US dollar into Nepalese rupees? Write it.1
b)How many Nepalese rupees can an American tourist get while exchanging 3,000 dollars? Find it.1
c)Compare the buying rate and selling rate after 0.5% devaluation in Nepali currency.1
d)How much will the tourist gain while exchanging the 3,000 American dollars into Nepalese rupees after devaluation? Find it.2
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