Secondary Education Examination (SEE)
Compulsory Mathematics
2081 (2025) · Sudurpashchim · 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 among 120 students studying in class Ten of a secondary school, it was found that 60 students liked cricket game, 55 students liked basketball game and 20 students did not like any of these games.
a)If C and B denote the sets of students who liked cricket and basketball game respectively, write the cardinality of n(C ∪ B).1
b)Present the above information in a Venn diagram.1
c)Find the number of students who liked cricket game only.3
d)Compare the number of students who liked cricket game only and who liked basketball game only.1
- 2
Aatmik wants to deposit Rs. 4,00,000 in a bank for 2 years. The bank offers 10% per annum compound interest to Aatmik with three alternates (annual compound interest, semi-annual compound interest and quarterly compound interest).
a)Which option among the above three alternates Aatmik has to use to get more interest? Write it.1
b)How much compound interest does he receive at the end of 2 years compounded semi-annually? Find it.2
c)Is semi-annual compound interest received by Aatmik in 2 years double than the quarterly compound interest received in 1 year? Justify with calculation.2
- 3
A photocopy machine is purchased for Rs. 80,000. After using it for 2 years, only Rs. 30,000 is earned. The price of the machine depreciates annually at the rate of 20% and the machine is sold after 2 years.
a)The initial price of a machine is V(0), annual rate of compound depreciation is R and the price of machine after T years is V(T); express V(T) in terms of V(0), R and T.1
b)Find the total profit or loss amount on selling the machine.2
c)If he had sold the machine after using it one year more, then by how much is the selling price less or more than the purchased price? Compare it.1
- 4
A businessman exchanged Australian dollars with NRs. 1,29,090 at the exchange rate of Australian dollar 1 = NRs. 86.06. After some days, Nepali currency was revalued up by 2% in comparison to Australian dollar and on that day he exchanged the Australian dollars into Nepali currency again.
a)How many Australian dollars did the businessman exchange? Find it.1
b)How many Nepali rupees did the businessman receive when he exchanged Australian dollar after revaluation in Nepali currency? Find it.2
c)What profit or loss percent did the businessman make in that transaction? Find it.1
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