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Question 28

Data represented using circles is known as:

(a)Bar graph

(b) Histogram

(c) Pictograph

(d) Pie chart

A cycle merchant allows $20\%$ discount on the marked price of the cycles and still makes a profit of $20\%$. If he gains Rs. 360 over the scale of one cycle and still makes a profit of $20\%$. If he gains Rs. 360 over the sale of one cycle, find the marked price of the cycle.

The two adjacent sides of a rectangle are $5x^2-3y^2$ and $x^2+2xy$. Find the perimeter.

Ravi can do a piece of work in 15 hours while Raman can do It In 12 hours. How long will both take to do it, working together?

In the figure, ABCD is a trapezium in which AB || DC and DC = 40 cm and AB = 60 cm. If X and y are, respectively the midpoints of AD and BC, Prove that:
(i) XY = 50 cm
(ii) DCYX is a trapezium
(iii) ar (trap. $DCYX)=\frac{9}{11}$ ar (trap. XYBA)

Question 22

In the following question, out of the four options, only one is correct. Write the correct answer:

For a non-zero integer x,$(x^4{)}^{-3}$ is equal to:
(a) $x^{12}$
(b) $x^{-12}$
(c) $x^{64}$
(d) $x^{-64}$

Which of the following has a square pyramidal shape?

Factorise :

$\left(i\right)x(x+3)+5(x+3)\left(ii\right)5x(x-4)-7(x-4)\left(iii\right)2m(1-n)+3(1-n)$

Two motor mechanics, Raju and Siraj working together can overhaul a scooter in 6 hours. Raju alone can do the job in 15 hours. In how many hours, can Siraj alone do it?

In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. Find the number of bacteria at the end of 2 hours if the count was initially 5, 06,000.

Volume of a cuboidal pencil box is V. It consists of 10 pencils each of volume v . Find the remaining volume.

$a^2{b}^2(a+2b)(3a+b)$

The shape of the top surface of a table is trapezium. Its parallel are sides are 1 m and 1.4 m and the perpendicular distance between them is 0.9 m. Find its area.

Factorize 15pq + 15 + 9q + 25p gives

Write the quotient and remainder when we divide:
$(x^3+1)$ by $x+1$

Find the sum of $-\frac{5}{2}$ and $\frac{2}{3}$

If we subtract $\frac{1}{2}$ from a number and multiply the result by $\frac{1}{2}$, we get $\frac{3}{8}$. What is the number?

A boat goes downstream and covers the distance between two ports in 96 minutes, while it covers the same distance in upstream in 120 minutes. If the speed of stream is 1km/hr, Find the speed of boat in still water?

What is meant by these slashes

Ix+yI

Identify the region in which the elements are divisible by 12.

What is the base of a heptagonal prism?

Question 5 (i)
Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:

525

$\begin{array}{c}AB\\ +AB\\ +B\\ BB\end{array}$
A=___

From a container, 6 litres milk was drawn out and was replaced by water. Again 6 litres of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9 : 16. The quantity of mixture is :

If smita completes the work in 21 days then she completes (2/3) part of the work in

A sum of money at simple interest amounts to ₹ 1860 in 2 years and to ₹1930 in 3 years. What is the sum?

If the number 50 is divided by 5 then, multiplied by 10, what is the resulting number?

A person took some money with some interest for 1 year under simple interest but later he found that the rate of interest was $2\%$ extra. According to the new rate of interest, he paid ₹ 60/- extra. How much money did he borrow?

Expand $\left(2x-\frac{1}{x}\right)\left(3x+\frac{2}{x}\right)$

Three numbers are in the ratio 3:4:5. If the sum of the largest and that smallest equals the sum of the second and 52, find the numbers.

Factorise:

$(x^2+4y^2-9z^2{)}^2-16x^2{y}^2$

By using the formula, find the amount and compound interest on:

Find the amount of Rs 8000 for 2 years compounded annually and the rates being $9\%$ per annum during the first year and $10\%$ per annum during the second year.

Question 58

The compound interest on a sum of Rs P for T years at R% per annum compounded annually is given by the formula P $(1+\frac{R}{100})$

Fill in the blanks $\frac{-2}{9}=\frac{?}{63}=\frac{?}{81}$

If $\frac{3x+4}{2}$ = $\frac{2.5x}{5}$, then find x.

Janhavi types 480 words in 15 minutes. How many words would she type in 5 minutes?

Find the amount on ₹ 40,000 in 2 years, when the rates of interest for two successive years are 14 % and 12 % successively.

Find the range of this data:

7, 6, 17, 25, 2, 1

What is the value of $\sqrt{(-1)}.\sqrt{(-1)}$?