Secondary Education Examination (SEE)
Compulsory Mathematics
2080 (2024) · Lumbini · English medium
ℹ️ Give the answers in your own creative style based on the given instructions. Figures in the margin indicate the full marks. Attempt all the questions.
- 1
Out of the people who participated in a survey, 80 people liked oranges, 85 people liked mangoes and 75 people liked both, while 50 people did not like any of these fruits.
a)Assuming the set of people who like oranges as O and mangoes as M, write the set of people who like both fruits in the cardinality notation.1
b)Present the above information in a Venn diagram.1
c)Find the total number of people who participated in the survey by using Venn diagram.3
d)Compare the number of people who like only one fruit and the number of people who like both the fruits.1
- 2
The difference between the yearly compound interest for 2 years and half yearly compound interest on a sum of money for the same time at the interest rate of 20% per annum is Rs 482.
a)Which is higher in yearly compound interest and half-yearly compound interest of an amount for keeping the same interest rate and time? Write it.1
b)Find the principal.2
c)Find the quarterly compound interest of the same principal in 1 year at the same rate of interest.2
- 3
The initial population of Rampur was 2,40,000 and that of Laxmanpur was 2,30,000. The population of Rampur increases by 4% per year and the population of Laxmanpur decreases by 5% per year.
a)Write the formula for finding population after T years.1
b)After 2 years which place has more population and by how much? Find it.2
c)By what percentage should the population of Laxmanpur increase in 2 years to reach the same population as the initial population of Rampur? Find it.1
- 4
On a day, the exchange rate of US dollar ($) 1 was NRs. 133.63.
a)How much Nepalese rupees can be exchanged with $ 1000? Find it.1
b)While Nepalese currency is devaluated by 1.5% as comparison to dollar, what will be the Nepalese rupees equal with $ 1? Find it.1
c)If Nepalese currency is revaluated by 1.5% instead of devaluation of 1.5%, what would be the difference in Nepalese rupees while exchanging $ 1000? Find it.2
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