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Question 124

In $\Delta ABC$, if $\angle A=\angle C$ and exterior $\angle ABX={140}^{\circ }$, then find the angles of the triangle.

In the given figure, $\angle PAC={90}^{\circ }$. Choose the incorrect option:

In a group of five students, there are 4 boys and 1 girl. Which of the following statements is correct?

Ted bought 28 rectangular grass beds. Each of it has a length 10cm and breadth15cm. When he arranged them on his lawn, 4 beds were left unused. Find the area of the lawn (in square cm).

By walking at $\frac{3}{4}$ th of his usual speed, a man reaches office 20 minutes later than usual. What is the usual time he takes to reach office?

for what values of p and q,

(a) (-p)/(-p)=1

(b)0/q is meaningless

If one acute angle of a set square is ${60}^{\circ }$, then the other acute angle is

Question 84 (xi)

Simplify

$(4.5a+1.5b{)}^2+(4.5b+1.5a{)}^2$

Question 28

In which of the following figures, a and b are forming a pair of adjacent angles?

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If a = 2 and b = 3 then, find the value of $(a^b{)}^a$.

Find the perimeter and area of a rectangular having

Length =6hm

Breadth=8dam

After school, you were watching a shadow play on the TV. So you thought of playing a shadow game with Emma. You guys went to your room and switched off the light and took a torch.
You found a Rubik's cube and got its shadow on a wall by putting torch light from behind. The shadow is a _____ dimensional projection of the Rubik's cube.

Let a fruit bowl contain $x$ number of fruits. After some time, Kavya adds one more than the initial number of fruits to the same bowl. If Shravya takes out two fruits from the same bowl, then the number of fruits remaining in the bowl is

The top view of the following solid is:

Akash draws a straight line on a sheet of paper.
Then he draws another line such that the distance between the two is same throughout.
Similarly, he draws one more line in the same manner. He names these line as l, m and n.
Which of the following is correct?

In the given figure, find the value of $\angle ACB$.

The circumference of a circle with centre O is divided into three arcs APB, BQC and CRA such that

$\frac{arcAPB}{2}=\frac{arcBQC}{3}=\frac{arcCRA}{4}$. Find $\angle COA$.

Question 4(ii)
Write the equation for the following statement:
2 subtracted from y is 8.

In which quadrant does the point whose abscissa and ordinate have same signs lie?

Find a single discount equivalent to three successive discounts of 20%, 10% and 5%

What are the differences between measurements and mensuration

The boys and girls in a school are in the ratio 8:3 . If the number of girls is 405, how many boys are there in the school ?

If a right angle triangle has sides of lengths 'a' and 'b' and hypotenuse of length 'c', then

Question 88

Length and breadth of the floor of a room are 5 m and 3 m respectively. Forty tiles, each with area $\frac{1}{16}{m}^2$ are used to cover the floor partially. Find the ratio of the tiled to the non-tiled portion of the floor.

In an isosceles triangle, the two angles are together equal to half of the third angle. Find the angles of the triangle.

A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find the cost of painting a pole that casts a shadow of 5 m. Painting is done at Rs.5 per cm.

Arun scored 36 marks in English, 44 marks in Hindi, 75 marks mathematics and x marks in science. If his average marks is 50, find the value of x.

What number should be added to -7 so that you will get zero as the answer?

___

The point (4, 1) and (- 2, 4) are reflected in the line y = 3. Find the coordinates of their images.

Question 18

Fill in the blanks to make each statement true:

The solution of te equation 2y=5y-$\frac{18}{5}$ is ..............

A tanker contains 983 litres of water. Due to the leakage in the tanker the quantity of water decreases at the rate of 9 litres per hour.How much willwill be left in the tanker after 5 hours?

Choose the correct statements from the following:

Statement 1: All the parallelograms having the same base and lying between the same parallels have equal areas.

Statement 2: All the parallelograms having the same base and lying between the same parallels have same perimeters.

Statement 3: Of all the parallelograms having same base and lying between same parallels, rectangle will have the smallest perimeter.

Statement 4: All the parallelograms having equal areas must have the same base but they may or may not lie between the same parallels.

Question 26

Fill in the blanks to make the statement true.
.................. is the solution of the equation 3x - 2 = 7.

Ram buys 40 pencils for ₹ 80 and sells 30 of them for ₹ 90. Find the profit or loss percentage.

Each symbol given below represents an algebraic expression.

The symbols are then represented in the expression

Find the expression which is represented by the above symbols.

Question 73
State whether the statement is True or False.
A pyramid has only one vertex.

Question 4 (b)

Identify terms which contain $y^2$ and give the coefficient of $y^2$.

(i) $8–x{y}^2$
(ii) $5y^2+7x$
(iii) $2x^{2}y–15x{y}^2+7y^2$

Question 66

Fill in the blanks to make the statement true.

___ $÷(-1)=75$

How is the pre-image(A) related to the image(A')?

What is the value of $\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}}$ =?

If P(-1 , 1), Q(3, - 4 ), R( 1 , - 1 ), S( - 2 , -3) and T( -4 , 4) are plotted on the graph paper, then the points(s) in the fourth quadrant is/are: