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The mean of first five odd numbers is

(a) If AB || DE, ∠AOD = 50° and ∠DPC = 160°, find the value of ∠DBE?

(b) A 15 m long ladder reached a window 12 m high from the ground when placed against a wall at a distance 'a'. Find the distance of the foot of the ladder from the wall.

[4 MARKS]

What will be the expression for the sum of the squares of the numbers $x$ and $y$, which is subtracted from the square of their difference?

Select the statements that are true.

How many triangles are possible if length of two sides and non-included angle is given, assuming that the given length is the minimum length required to form a triangle ?

Compare the rational numbers and choose the correct option.

$\frac{2}{5}$___$\frac{3}{4}$.

If 1100 people like playing cricket, then what is the total number of people who took the survey?

The number of permutations that can be made out of the letters of the word “EQUATION” which start with a consonant and end with a consonant is

200 people were surveyed to see which of the four mentioned snacks below that people prefer. The data is as shown in the table.

$$\begin{array}{cc}\text{Snack}& \text{Number of people}\\ \text{Pizza}& 42\\ \text{Sandwich}& 50\\ \text{Burger}& 74\\ \text{Ice cream}& 34\end{array}$$

What is the probability that a person

(i) prefers ice cream
(ii) does not prefer ice cream.
(iii) are (i) and (ii) complementary? [ 1 MARK]

Question 92

In the given figure, $AB||CD,AF||ED,\angle AFC={68}^{\circ }$ and $\angle FED={42}^{\circ }.$. Find $\angle EFD.$

Question 153(i)

In a repeater machine with 0 as an exponent, the base machine is applied 0 times.
What do these machines do to a piece of chalk?

If 8, 15 and c form a Pythagorean triplet then the value of c is

A train 760m long crosses a platform 440m long in 40 seconds. find the speed of the train in km per hour

Three persons start a business and spend rupees 45000 and Rs 15,000 and Rs 40,000 respectively find the share of each out of a profit of rupees 14400 in a year

Look at the graph shown, thickness of bars and gap between bars are identical, it shows details of vehicles purchased by members of the residences of same apartment during the year.
1 unit of length represents 2 vehicles purchased.

Number of Vehicles Purchased during the Year

Who has purchased the maximum number of vehicles during the year?
Here the horizontal axis is x axis which represents number of vehicles and vertical axis is y axis which represents name of people. The scale for y axis is 1 cm = 1 name and x axis 2 cm = 1 vehicle .

The opposite faces of a dice always have a total of ___ on them.

Observe the given rectangle

How many minimum extra dots we need to add and make it a square.

The lines joining the points of intersection of line x + y = 1 and curve $x^2+y^2-2y+\lambda =0$ to the origin are perpendicular, then the value of $\lambda$ will be

1. 16

What is the order of rotational symmetry in the following figure?

What should be the value of a, if the value of $2x^2+6a–5x+10$ is $25$, when $x=1$?

Question 61
State whether the statement is True or False.
A circle has two lines of symmetry.

If we roll a die, there are total six possible outcomes (1,2,3,4,5,6). What is the probability of getting 2?

Choose the correct statement(s).

Samir bought a box containing ball pens and gel pens. The number of ball pens was six then gel pens and there were a total of 24 pens. How many gel pens did Samir buy ?

Shubendhu buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain (in percentage) is:

The length of a rectangle is twice its width. If the perimeter of the rectangle is 42 m, then find the area of the rectangle.

How is $\frac{12}{25}$ represented as a decimal?

A 10-inch long candle lasts for 45 minutes. How long will another candle of same material and same thickness but 4 inches longer than the previous one last?

Two sides of a triangle have lengths of 5 units and 6 units respectively. Which of the following is a possible length for the third side?

Area of a circle is 36 cm² and the area of a rectangle is $\frac{1}{6}$^th of the area of the circle. If the breadth of the rectangle is 1 cm,find its length?