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Question 76

A car travels a distance of 225 km in 25 litres of petrol. How many litres of petrol will be required to cover a distance of 540 kilometres by this car?

HCF of $x^6{y}^4{z}^2$, $x^5{y}^4{z}^6$ and $x^7{y}^9{z}^4$ is $x^a{y}^b{z}^c$. Then a-b-c+2 = ___

The simple interest on a certain sum of money is $\frac{3}{8}$ of the sum in $6\frac{1}{4}$ years. Find the rate percent charged.

Question 2

The value of $\pi$ upto 35 decimal places is given below.

3.1415926358979328464338327950288

Make a frequency distribution of the digits 0 to 9 after the decimal point.

Question 43

Curved surface area of a cylinder of radius h and height r is ___

Write all numbers from 400 to 425 which end in 2, 3, 7 or 8. Check if any of these is a perfect square.

The geometrical representation of a linear equation in two variables is a ___

Question 4 (iii)

Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:

3250

The length of the diagonals of a cube is $8\sqrt{3}cm$. Find its:
i) Edge
ii) Total surface area
iii) Volume

1. 144

If 14 is the HCF of 4p and 21q, then minimum value of p and q is:

What is $-7\times -13$?

If $a+b=8$, $ab=15$ and $a>b$ , then the value a and b are

40 bags of cotton cost ₹ 2,200. But by exchanging 25 bags to the shopkeeper, we get 30 grams of silver. Find the price of 150 grams of silver by exchanging relevant number of cotton bags.

Calculate the expenditure to cover a ground with carpet whose length is 45 m and width is 12 m. The cost of the carpet per sq. meter is Rs. 20. [2 MARKS]

Question 74

State whether the following statement is true or false:

A number having 7 at its one's place will have 3 at the unit's place of its square.

Which one among the following is correct?

$△$XYZ is constructed such that XY = 4 cm, XZ = 8 cm and $\angle$X = 20${}^{\circ }$. Then, the sum of measures of $\angle$Y and $\angle$X is equal to _____.

i) Percentage of people in the range of 149.5 -159.5 cm is equal to ______

ii) Percentage difference between ranges 159.5 - 169.5 cm and 169.5 - 179.5cm is

What should be added to the sum of $\frac{3}{7}$ and thrice of $-\frac{6}{7}$ to get $\frac{17}{13}$.

16 boys went to canteen to have tea and snacks together. The bill amounted to Rs. 114.40. What will be the contribution of a boy who pays for himself and 5 others?

How one can define a dilation?

If A – B = A, then $(A\cap B)$ = ___.

A cube of side 4 cm is cut into cubes of side 1 cm. The ratio of the surface area of the original cube to that of cut out cube is

Question 51

A man purchased a bicycle for Rs 1040 and sold it for Rs 800. His loss per cent is 30%.

Nazir invested 4000 rupees and Narayanan invested 6000 rupees to set up a partnership. In one year, they got 3000 rupees profit. If they split this in the ratio of their investment, how much would each get?

Which of the following figures represent a polygon?

Four men have $10$ hats. In how many ways can they wear them?

How many $3$ digit numbers can be made using all the even digits between $1$ to $9$?

Question 2 (viii)

The following number is obviously not a perfect square. Give reasons.

505050