Secondary Education Examination (SEE)
Compulsory Mathematics
2080 (2024) · Bagmati · 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
A survey was conducted among 50 tourists arrived in Nepal asking them about preference of two cities Pokhara and Lumbini. Findings are given below: 20 tourists like Pokhara only. 15 tourists like Lumbini only. 10 tourists do not like any of these cities.
a)Write the set of tourists who don't like any of these cities in cardinal notation by letting the sets of tourists who like Pokhara by P and Lumbini by L.1
b)Present the above information in a venn-diagram.1
c)Find the number of tourists who liked Pokhara.3
d)Is the number of tourists who like to visit only one place more than that who like to visit neither of the places? Give reason.1
- 2
Ram borrowed a sum of Rs. 50,000 from Shyam for 2 years at the rate of 10% compound interest compounded annually. Ram invested the same sum for the same time and rate of interest to Pratik at the semi-annual compound interest.
a)Write the formula for finding the annual compound interest.1
b)Calculate the interests to be paid to Shyam by Ram and to Ram by Pratik.2
c)If Ram had lent the loan to Pratik in quarterly compound interest instead of semi-annual compound interest, how much less or more interest will he acquire? Calculate it.1
- 3
The present population of a rural municipality is 10,000 and the population is being increased by 2% every year.
a)Write the formula to find population (Pₜ) 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 rural municipality after 3 years? Calculate it.2
c)In how many years will the population of the rural municipality be 10,404 at the same rate of population growth? Find it.1
- 4
On 30th October, 2023 according to the money exchange rate of Nepal Rastra Bank, the buying and selling rates of 1 American dollar were NPR. 132.90 and NPR. 133.50 respectively.
a)How many Nepalese rupees could Prasiddhi exchange with American Dollar ($) 1,000 on that day? Find it.1
b)If Prasiddhi needed American Dollar ($) 5,000 to go for higher studies to America and the money exchange counter charged 2% as commission to exchange the amount on the same day, how many Nepalese rupees did she require? Calculate it.2
c)If the Nepalese currency had devaluated by 1.5%, how much rupees would be less or more than the value at the time before devaluation when exchanging Nepalese rupees for American dollars 1,000? Find it.2
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