AgniSaiar Krishna VDC_8_2081

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  1. Study the given Venn diagram and answer the following questions:
    1. From listing method, write the elements of sets \(A\) and \(B\).[1]
    2. Write the improper subset from the set \(A\).[1]
    3. In which condition do the given sets \(A\) and \(B\) become disjoint?[1]
    1. Convert \(0.\overline{34}\) into fraction.[2]
    2. The budget of Nepal in fiscal year 2080/081 is Rs. \(1,80,00,000,000\). Write down the number in scientific notation.[1]
    3. Convert \(75\) into the binary number system.[1]
  3. Mohan has deposited Rs. \(2,50,000\) in a bank at the rate of \(8\%\).
    1. Write the simple interest formula.[1]
    2. What does \(R\) stand for in the simple interest formula?[1]
    3. Find the interest amount obtained at the end of \(3\) years and \(9\) months.[2]
    1. Find the ratio of \(1\) m and \(80\) cm.[1]
    2. Simplify: \(\left( \frac{x^2 y}{x y^2} \right)^3\)[2]
    3. If 16 workers can do a piece of work in 25 days, how many workers can complete the same work in 20 days?[2]
    4. Convert \(1101_2\) into quinary number system.[1]
  5. A circular pond of radius \(7\) m is there inside a rectangular piece of land with length \(20\) m and breadth \(15\) m.
    1. Find the area of the land.[1]
    2. Find the area of the pond.[1]
    3. Find the area of the land excluding the pond.[2]
    4. Find the cost of fencing the land at the rate of Rs. 50 per meter.[2]
    1. Simplify: \(x^{a-b} \times x^{b-c} \times x^{c-a}\)[2]
    2. Find the HCF of: \(x^2 + 3x + 2\) and \(x^2 - 4\)[2]
    1. Factorize: \(9x^2 - 25y^2\)[1]
    2. Solve by graphical method: \(x + y = 5\) \(2x - y = 4\)[2]
    1. Evaluate: \(a^0 \times b^0\)[2]
    2. Solve: \(x^2 - 7x + 12 = 0\)[1]
    1. Write the formula to find sum of interior angles of a regular polygon.[1]
    2. Find the value of \(x\) and \(y\) in the given figure.[2]
    3. Find the distance between the points \(P(4,5)\) and \(Q(7,5)\).[2]
    1. Construct a rectangle \(ABCD\) in which \(AB = 6\) cm and \(BC = 5\) cm.[3]
    2. Find the values of \(x\) and \(y\) in the given figure.[2]
    1. Reflection in x-axis to the point \(P(x, y)\).[1]
    2. The bearing of B from A is \(065^\circ\). What is the bearing of A from B?[2]
    3. Draw the net of cube figure.[2]
  12. Study the given table and solve the problem given below:
    13. कक्षा (Class) 1 2 3 4
    विद्यार्थी सङ्ख्या (No. of Students) 40 50 60 30
    1. Find the average value of the above data.[1]
    2. Represent the data given above table in pie chart.[2]

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