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Question 82(iv)

Given below is a frequency distribution table. Read it and answer the questions that follow.
$\begin{array}{cc}Classinterval& Frequency\\ 10-20& 5\\ 20-30& 10\\ 30-40& 4\\ 40-50& 15\\ 50-60& 12\end{array}$
Which interval has a frequency of 10 ?

From a square cardboard of side 20 cm, a circle of maximum area is cut off. The area of the cardboard left out is ___ sq. cm. (Take $\pi =3.14$)

Let M = $\left\{lettersofthewordREAL\right\}$ and N=$\left\{lettersofthewordLARE\right\}$. Write sets M and N in roster form and then state whether;

(i)$M\subseteq Nistrue$

(ii)$N\subseteq Mistrue$

(iii) M=N is true

Which one of the following lies between $\frac{5}{7}$ and $\frac{17}{21}$?

There are 216 workers in a factory out of which 75 are labourers. What would be the central angle of the sector representing labourers in a pie chart?

A box has length, breadth and height of 10 cm,20 cm and 5 cm respectively. The lateral surface area of cuboid is:

Find the amount to be paid for a sum of ₹ 10,000 for a period 1 and a half years at 8% per annum, compounded quarterly.

Given that x and y are in direct proportion, and $y_1,y_2$ are values of $y$ corresponding to the values $x_1,x_2$ of $x$ respectively. Which of the following is correct?

Factorise $27-x^3{y}^3+6-2xy$

Question 81

State whether the statement is True or False.

Going 500 m towards east first and then 200 m back, is same as going 200 m towards west first and then going 500 m back.

If $f\left(x\right)=\{\begin{array}{cc}{x}^3,& x<0\\ 3x-2,& 0\le x\le 2\\ x^2+1,& x>2\end{array}$
Then find the value(s) of x for which f(x)=2.

Subtraction is associative for which opeartions?

The marked price of a ceiling fan is Rs. 1250 and the shopkeeper allows a discount of $6\%$ on it. Find the selling price of the fan.

How do you find sum of interior angles and please give an example

If x + 1/x =2,then find x^10+1/x^10

Can you show me the way to solve

Fill in the blanks

-2/9=?/63=?/81

In $△ABC$ and $△XZY$, if AB = XZ, BC = ZY and CA = YX, then by which postulate is $△ABC$ congruent to $△XZY$ ?

Find the value of x if $\frac{8^2}{5^6}={\left(\frac{x}{5}\right)}^6$

If $mn=\frac{-25}{9}$, then find the value of $n$ if the value of

What parts of speech are the underlined words?

The specimens were kept beside each other for observation.

The solution of inequality 4x + 3 < 5x + 7 when x is a real number is

In which city does the person who works in Tetratec live?

Assertion : Tabular presentation helps to compare between rows and columns and data can be represented using tabulation.
Reason: Tabulation of data is a must for diagrammatic representation.
Which of the following is correct.

Fill in the blank with an appropriate verb.

The trusted man ____ the keys of the safes.

If 5B12 is divisible by 11, then find the value of B.

One of the base angles of an isosceles triangle is equal to ${45}^{\circ }$. Find the vertex angle of the triangle.

Directions:- Study the following information carefully to answer the question given below.

A, C, D, I, L, P and M are sitting in a straight line facing North.
(a) P sits fourth to the right of A and C sits second to the left of P. D sits in the middle and is second to the right of M.
(b) I sits at the farthest possible distance from P (five persons sits between I and P).

If all the seven persons are made to sit in alphabetical order from left to right, the positions of how many will remain unchanged as compared to the original seating positions?

(a) If a fan has a rotational symmetry of order 4, how many blades are there in the fan?
(b) Name the quadrilateral which has both line and rotational symmetry of order more than 1. [2 MARKS]

Question 125 (ii)

The plan and measurement for a house are given in the figure. The house is surrounded by a path 1 m wide.

Find the cost of wooden flooring inside the house except the bathroom at the cost of ₹ 1200 per $m^2$

The reciprocal of $\frac{2}{7}\times \frac{1}{5}$ is _____.

The exponent of c after simplifying $(3ab{)}^2$$(-5a^{2}b{c}^4{)}^2$ is

Factorise $4a^2+4ab+b^2$ .

Which of the following is a factor of 5xy?

Directions:- Study the following information carefully to answer the question given below.

Twelve people are sitting in two parallel rows containing six people each, in such a way that there is an equal distance between adjacent persons. In row - 1 A, B, C, D, E and F are seated and all of them are facing south. In row - 2 P, Q, R, S, T and V are seated and all of them are facing north. Therefore, in the given seating arrangement each member seated in a row faces another member of the other row.
V sits third to right of S. S faces F and F does not sit at any of the extreme ends of the line. D sits third to right of C. R faces C. The one facing E sits third to right of P. B and P do not sit at the extreme ends of the line. T is not an immediate neighbour of V and A is not an immediate neighbour of C.

Who amongst the following represent the people sitting at extreme ends of the rows?

Match the following Pythagorean triplets.

Question 86 (xv)

Using suitable identities, evaluate the following:

$10.1\times 10.2$

Sunecta typos 1080 words in one hour. What is GWAM (gross words a minute rate) ?

A student gets 3 marks for answering a question correctly and loses 1 mark for answering it wrong. A student answered 5 questions correctly and 2 questions wrong. Total marks obtained by the student is ___ .

Evaluate :
$\left(i\right)3\sqrt{4^3\times 6^3}\left(ii\right)3\sqrt{8\times 17\times 17\times 17}\left(iii\right)3\sqrt{700\times 2\times 49\times 5}\left(iv\right)1253\sqrt{a^6}-3\sqrt{125a^6}$