Write all possible subsets that can be formed from set \(M\).[2]
Distinguish the proper and improper subsets from these subsets.[1]
Ramdev went to utensil shop to buy a rice cooker. The marked price of a rice cooker is Rs. 6000.
If marked price and discount are represented by (MP) and (D) respectively, write the formula to find the selling price.[1]
How much discount did Ramdev get while buying a rice cooker on discount of 15%?[1]
The shopkeeper got 15% profit after selling it at 15% discount. What was the cost price of the rice cooker?[2]
Hari took a loan of Rs. 1,00,000 from a bank to go for abroad study at the rate of 12% p.a. simple interest. If he cleared the loan after 10 years then:
Define amount.[1]
What is the interest paid by him in 10 years?[2]
If the interest rate was 10% p.a., what amount of money had he to pay in total?[2]
The capacity of a water tank to supply water to a town is 480,000 liters.
Write the capacity of the water tank in scientific notation.[1]
A family of that town has consumed 3848 liters of water in a month. If the cost of 1 liter water is 50 paisa, how much rupees have to be paid for the consumption of water in one month?[2]
Convert \(0.\overline{35}\) into fraction.[1]
A hotel has a rectangular garden and a circular swimming pool having equal areas as shown in figure.
Write the formula to calculate perimeter of rectangle.[1]
Find the area of circular swimming pool.[1]
Calculate the perimeter of the rectangular garden.[2]
Which would have to spend more for fencing, a garden or a swimming pool?[1]
Express \(\frac{x^a}{x^b}\) as power of \(x\).[1]
Simplify: \(\frac{x}{x-y} + \frac{x}{x+y}\)[2]
If two algebraic expressions are \(x^2 + 8x + 12\) and \(2x^2 - 72\),
Find the highest common factor of given algebraic expressions.[2]
For what value of \(x\), \(x^2 + 8x + 12 = 0\) becomes true?[2]
What types of equations are the given equations called?
\(2x + 12 + y = 7\) and \(x + 2y = 8\)[1]
Solve the above equations by using graph.[3]
Observe the given figure and find the value of \(x\) and \(y\).[2]
Construct a rectangle \(ABCD\) in which \(AB = 7\) cm and \(BC = 4\) cm.[3]
Given triangles are the pair of congruent triangles. Find the values of \(x\) and \(y\).[2]
Define regular tessellation.[1]
Present Lakhans family expenditure in a pie chart.[2]
Write down the bearing of a point \(P\) from a point \(O\).[1]
The vertices of \(\triangle ABC\) are \(A(2,2)\), \(B(4,6)\) and \(C(5,2)\). Sketch it on a graph paper and reflect in y-axis. Write down the co-ordinates of the image.[3]
If the distance between \(P(0,6)\) and \(Q(a,0)\) is 6 units, then find the value of \(a\).[1]
The following are the marks obtained by 7 students of grade 8 in first terminal examination in mathematics: 22, 23, 44, 55, 66, 77, 33.
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