Compulsory Mathematics SEE 2081, Lumbini Province question paper

Group A

Very short answer questions(11 × 1 = 11)

1. 1.

   In a survey conducted on the students studying in class ten of a school to determine suitable place for educational tours to Janakpur and Birgunj. It was found that 60 students considered Janakpur, 40 students considered Birgunj and 20 students considered both places suitable but 10 students did not consider any of the two places suitable. a) If 'J' and 'B' denote the set of students who prefer Janakpur and Birgunj respectively. Write the set of students who considered as both places suitable in cardinality notation. [1] b) Present the above information in a Venn diagram. [1] c) How many students are studying in class ten in the school? Find it. [3] d) If 10 students who did not consider any of the two places suitable had said Janakpur as a suitable place, then what would be the ratio of students who consider only Janakpur and only Birgunj as the suitable place? Find it. [1]

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2. 2.

   Anil deposited Rs.2,00,000 in a Bank at the rate of 10% p.a. compound interest for 2 years. a) Write the formula for finding quarterly compound interest. [1] b) How much annual compound interest did Anil receive in 2 years? Find it. [2] c) If the bank provides the semiannual compound interest instead of the annual compound interest at the same rate of interest, how much more interest would be received by Anil? Find it. [2]

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3. 3.

   The present population of a municipality is 20,000 and the annual population growth rate is 3%. a) Write the formula to find the population $P_T$ after T years if the initial population is P and rate of annual growth is R. [1] b) What will be the population of municipality after 2 years? Find it. [1] c) Is the calculation process of population growth and compound interest same? Give your opinion. [1]

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