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Give some examples of prisms? [2 MARKS]

0.05 $\times$ 0.7 =

diferenceate between exponnt and power

Question 41

Fill in the blanks to make the statement true.

$(-23)\times \left(42\right)=(-42)\times$

Question 3 (a)

Draw the perpendicular bisector of $\overline{XY}$ whose length is 10.3 cm
Take any point P on the bisector drawn. Examine whether PX = PY.

Three lines AB, CD and EF interesect each other at O. If $\angle AOE={30}^{\circ }and\angle DOB={40}^{\circ }$ (see the figure). Find $\angle COF.$

Question 84(iii)

What is the type of the other angle of a linear pair, If one of its angles is right?

Two right-angled triangles are congruent if the hypotenuse and a leg of one of the triangles are equal to the corresponding leg of the other triangle. What is this condition called?

50 men mow 32 hectares of land in 3days . How many days will 15men take to mow it.

Cards were drawn from a regular deck of 52 for a 100 times, replacing it each time after drawing. The data about the number is as follows.

$$\begin{array}{cc}\text{Number}& \text{Frequency}\\ A& 10\\ 2& 8\\ 3& 5\\ 4& 6\\ 5& 8\\ 6& 5\\ 7& 10\\ 8& 11\\ 9& 8\\ 10& 7\\ J& 6\\ Q& 7\\ K& 9\end{array}$$

(i) Find the probability of drawing a face card ;

(ii) Find the probability of drawing a number card with a prime number on it . [2MARKS]
.

Parts exiting in an assembly line are inspected and categorized as good or bad (defective). In a batch of 100 parts, 8 were found to be defective.
What is the probability that a part drawn at random is defective?

The amount of loan to be paid back if the principal is Rs. 5000 at a 11% interest per annum for 3 years will be ________.

Which of the following statements is true about the figure given below?

Given : $\angle$ABD = 110${}^{\circ }$

One day Suresh and his son Rakesh went to see their new plot. The plot is in a square shape and a part of it is used as a garden. From the given figure, describe the part of plot used for the garden in decimals.

Harry can run a stretch of 400m in 100 seconds. The time taken by him to run 100m at double the speed will be

Find the number of sides of the polygon whose interior angle is 140${}^{\circ }$.

How many numbers (integers) are found in between the numbers -8 and 3?

If the below pattern follows the formula 'an+1', where n is the number of squares formed, find a.

If two lines are intersecting as shown. At least, how many angles out of the four must be known in order to find all the angles?

Question 2(h)
Give first the step you will use to separate the variable and then solve the equation:
20t = -10

$2^3\times 3^3$
___

In the figure given below, find 'x' if AB || CD.

Three prizes are to be distributed in a quiz contest. The value of second prize is $\frac{5}{6}$ of the value of first prize and the value of third prize is $\frac{4}{5}$ of second prize. If the total value of three prizes is Rs.1500. Find the value of each prize. (in order of 1^st, 2^nd & 3^rd)

If CP = Rs 580 and SP = Rs 650, then profit percent is

${\left(\right(2{)}^2)}^2$× ($3^3$ ÷$4^2$) ÷ $3^2$ is equal to

Find the complement of ${75}^{\circ }$

The value of 15 x (125 - 75) is equivalent to:

(a+b)(a-b) = ___ .

The denominator of a rational number is greater than its numerator by 3. If the numerator is increased by 7 and the denominator is decreased by 1, the new number becomes $\frac{3}{2}$. The original number is

75% of 200 is -

$(13+3\frac{1}{3})-\frac{1}{3}=$ ______

In the figure, if AB = AC and AD || BC, then x, y and z are respectively = _____.

Among the following options which value of a and b satisfies the given equation:
${20}^2$ + $a^2$ = $b^2$

Question 17

In standard form, the number 829030000 is written as $K\times {10}^8,$ where $K$ is equal to:
(a) 82903
(b) 829.03
(c) 82.903
(d) 8.2903

Question 27

If one of the angle of a triangle is ${110}^{\circ }$, then the angle between the bisectors of the other two angles is

a) ${70}^{\circ }$
b) ${110}^{\circ }$
c) ${35}^{\circ }$
d) ${145}^{\circ }$

A principle of Rs. 40,000 is deposited in a bank which offers a simple interest at a rate of 10% per year. What is the amount at the end of 2 years?

1. 50

Solve $21x^2-28x+10=0$

If A = {set of whole numbers less than 6} and B = {set of prime numbers less than 7}, then

What is the last digit of 10⁹?

The given table shows data for a specific school in India. The State-wise number of students are given.

Calculate the average number of students taking all the regions into consideration.

Mrs. Jain is 27years older than her daughter Nilu. After 8 years she will be twice as of Nilu. Find their present age.