Set 30

1. Study the Venn diagram and answer the following questions:
1. List the elements of set R and S by listing method.[1]
2. Write the improper subset formed from the set R.[1]
3. In which condition do the given sets R and S become disjoint sets?[1]
2. Anup bought a mobile phone labelled at Rs. 12,000 at a 20% discount.
1. How much is the discount price of an article whose marked price is (M.P.) and discount percentage is (D%)?[1]
2. Find the selling price of the mobile phone.[1]
3. If the mobile phone is sold at a 20% loss, find the cost price.[2]
3. If Anju deposited Rs. 35,000 in a bank at the rate of 12% per year for 2 years.
1. Write the formula to find Principal.[1]
2. What interest does Anju get in 2 years?[1]
3. Find the amount.[1]
4. Hari bought a car at Rs. 42,000.
1. Write the cost of car in scientific notation.[1]
2. Find the ratio \(1\) meter and \(80\) cm.[1]
3. Express \(0.\overline{34}\) into fraction.[2]
4. \(101010_2\) is a binary number. Convert the number into decimal number system.[2]
5. The length of rectangular surface is \(10\) m. and perimeter is \(32\) m.
1. Write the formula to find perimeter of rectangle.[1]
2. Find the breadth of surface.[1]
3. How much does it cost to color the surface at the rate of Rs.100 per square meter? Calculate.[2]
4. Compare with length and breadth the surface.[1]
1. What should be the index of \(x\), so that its value will be \(1\)?[1]
2. Simplify: \(\frac{a}{a-b} - \frac{a}{a+b}\)[2]
7. Two equations are given as: \(x + y = 8\) and \(x - y = 4\).
1. What is the system of given equation called?[1]
2. Solve the above equation by using graph.[2]
1. Find the H.C.F. of \(x^2 - 4\) and \(x^2 - 6x - 16\).[2]
2. For what value of \(x\) the value of \(x^2 - x - 12\) is zero?[2]
9. In the given figure \(\triangle ABC\) is formed between \(PQ \parallel XY\). \(\angle BAC = 65^\circ\) and \(\angle CBY = 60^\circ\) are given.
1. What is the value of \(x\)?[1]
2. What is the value of \(y\)?[1]
3. Verify experimentally that the sum of internal angles of a triangle is \(180^\circ\).[2]
1. Construct a parallelogram \(PQRS\) with \(PQ = 8\) cm, \(QR = 6\) cm and \(\angle POR = 30^\circ\).[3]
2. If \(\triangle ABC \cong \triangle DEF\), find the value of \(x\).[2]
1. Draw the net of a cube.[1]
2. If the bearing of a place B from place A is \(060^\circ\), find the bearing of A from B.[2]
3. Find the vertices of the image triangle \(\Delta P'Q'R'\) of \(\Delta PQR\) with vertices \(P(6,8)\), \(Q(4,5)\) and \(R(6,2)\) after rotation through \(+90^\circ\) about origin. Represent \(\Delta PQR\) and \(\Delta P'Q'R'\) in same graph.[3]
12. The monthly expenditure of a family is given in the table below:

(Title)	(Food)	(Education)	(Clothing)	(Other Expenses)
(Expenditure Rs.)	18,000	10,000	5,000	3,000

1. Show the given data in pie-chart.[2]
2. Find the median of the given data: \(14, 15, 20, 37, 18, 17, 46, 19, 25, 22, 21, 23, 24\).[1]