SEE | Compulsory Mathematics Model Question | Set 3 | Of 2080-2024

SEE Compulsory Mathematics Model Question Set 3 of 2080-2024.

SECONDARY EDUCATION EXAMINATION [SEE]
Compulsory Mathematics (SET 3)
Grade 10-Class 10
SEE – 2080 (2024)
RE-1031
Full Marks – 75
Time - 3 hrs

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Candidates are required to answer the questions in their own words as far as practicable. Figures in the margin indicate the full marks.

Attempt all the questions.

Group 'A' [10x1=10]

1. In survey conducted among 120 students studying in class 10 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 two games.

a) If C and B denote the sets of students who liked cricket and basketball game respectively, write the cardinality of (̅ ̅̅ ̅̅̅ ̅). [1]

b) Present the above information in a Venn-diagram. [1]

c) Find the number of students who liked cricket only. [3]

d) Compare the number of students who liked both cricket and basket ball and who liked except these two games. [1]

2. Bijaya borrowed Rs. 60,000 from Ramesh for 2 years at the rate of 10% p.a. simple interest. At the same rate he invested the same sum for the same time at the compound interest compounded annually.

a) Define compound interest. [1]

b) Find the compound interest received by Bijaya after 2 years. [2]

c) What is the remaining amount with Bijaya after paying Principal and compound interest to Ramesh? Find it. [2]

3. A photocopy machine is purchased for Rs. 80,000. After using for 2 years, only Rs. 30,000 is earned. The price of machine depreciates annually at the rate of 20% and the machine is sold after 2 years.

a) The initial price of machine is Rs. VO, annual rate of compound depreciation is R% and the price of machine after T years is Rs. VT, express VT in terms of VO, R% and T.[1]

b) Find the selling price of the machine after 2 years. [1]

c) Find the total profit or loss in percentage on selling the machine. [2]

4. A business man exchanged some Australian dollars with NRs. 3,56,000 at the exchange rate of Australian dollar 1=NRs. 80. After 5 days, Nepali currency was revaluated by 2% in comparison to Australian dollar and on that day he exchanged the dollars into Nepali currency again.

a) How many Australian dollars did he exchange with NRS 3,56,000? Find it. [1]

b) How much Nepali rupees did the business man receive when he exchanged Australian dollar after revaluation in Nepali currency? Find it. [2]

c) Calculate his gain or loss amount. [1]

5. The base area of a square based pyramid is 64 sq.cm. and its height is 3cm.

a) Write the formula to find the area of the triangular surfaces of a square based pyramid. [1]

b) Find the length of side of the base of the pyramid. [1]

c) Find the total surface area of the pyramid. [2]

....

See below -

SEE Compulsory Mathematics Model Question Set 3 of 2080-2024.

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