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$△$ABC is drawn with the length of side AB being 4.8 cm. If $\angle$B is 35${}^{\circ }$ and $\angle$C is 65${}^{\circ }$, then, the perimeter of this triangle is

Consider the following data showing runs scored by 11 players in a cricket match:

1, 4, 6, 7, 0, 10, 5, 8, 12, 8, 87

This data is termed as

In the given figure, if AB = AD and CB = CD, then which of the following is true ?

An elevator descends into a mine shaft at the rate of 6 m/min. If the descent starts from 10 m above the ground level, how long will it take to reach −350m? [4 MARKS]

A number when multiplied by 2 and decreased by 41 gives 3. Find the number.

If $\frac{p}{q}$ is a rational number, then _________.

On March 31, 2003, the balance sheet of Pawan, Qatir and Ram, who were sharing profits in proportion to their capitals stood as follows :

$\begin{array}{cccc}\text{Capital and Liabilities}& \text{Amount}& \text{Assets}& \text{Amount}\\ & \text{Rs}& & \text{Rs}\\ \text{Bills Payable}& 8,000& \text{Land and Buildings}& 50,000\\ \text{Creditors}& 12,000& \text{Cash at Bank}& 30,000\\ \text{General Reserve}& 6,000& \text{Debtors}10,000& \\ \text{Capitals:}& & \text{Less: Provision for}& \\ \text{Pawan}30,000& & \text{Doubtful debts}\underset{–}{200}& 9,800\\ \text{Qatir}30,000& & \text{Stock}& 14,000\\ \text{Ram}\underset{–}{15,000}& 75,000& \text{Machinery}& 8,200\\ \text{Employee's P.F}& 17,000& \text{Profit and Loss}& 6,000\\ & \overline{\underset{–}{\underset{–}{1,18,000}}}& & \overline{\underset{–}{\underset{–}{1,18,000}}}\end{array}$

Qatir retires and the following readjustments of the assets and liabilities have been agreed upon before the ascertainment of the amount payable to Qatir :

(i) That out of the amount of insurance which was debited entrirely to profit and loss account, Rs 1,292 be carried forward as unexpired insurance.

(ii) That the land and building be appreciated by 10%.

(iii) That the provision for doubtful debts be brought upto 5% on debtors.

(iv) That machinery be depreciated by 6%.

(v) That a provision of Rs 1,500 be made in respect of any outstanding bill for printing and stationery.

(vi) That the goodwill of the firm will be valued at Rs 18,000.

(vii) That the entire capital of the firm as newly constituted be fixed at Rs 60,000 between Pawan and Ram in the proportion of three-fourth and one-fourth after passing entries in their accounts for adjustment, i.e., actual cash to be paid off or to be brought in by the continuing partners as the case may be.

(viii) That Qatir be paid Rs 5,000 in cash and the balance be transferred to his loan account payable in two equal annual instalments along with interest 8% p.a.

Prepare necessary accounts and the balance sheet of the firm of Pawan and Ram. Also prepare Qatir's loan till it is finally settled.

The sum of two numbers is 100 and their difference is 40. Find the numbers.

Find the value of 'p' if the mean of the following data is 17.

$$\begin{array}{cccccc}{x}_i& 10& p& 18& 21& 25\\ f_i& 10& 15& 7& 9& 9\end{array}$$

Which of the following is a rational number between $\frac{1}{6}$ and $\frac{1}{4}$

What is the area of a rectangle having length 6 cm and breadth 4 cm ?

Question 4(b) :

Look at the figures and write ‘<’ or ‘>’ between the given pairs of fractions:

$\frac{3}{4}\square \frac{2}{6}$

2 multiplied by itself ten times, when written in the exponential form is .

Question 37

Fill in the blanks to make the statement true.

x - ................. = 15; when $\frac{x}{2}=6$

Question 105(ii)

In the given PQ, RS and UT are parallel lines.

If c $={75}^{\circ }anda=\frac{2}{5}c,$ find b.

The length of the complete circle is called__ of the circle.

Express the given statement as an equation.

$13$ subtracted from twice of a number gives $3$.

In figure,$E$ and $F$ are mid - points of the sides $AB$ and $AC$ respectively of the $\Delta ABC$. $G$ and $H$ are mid-points of the sides $AE$ and $AF$ respectively of the $\Delta AEF$. If $GH=1.8cm,$ find $BC.$

Find angle x.

ABCD is a rectangle and EGF is a right angled triangle with angle EGF = 90 degrees. Find the area of trapezium AFED.

If one angle of a triangle is 60° and the other two angles are in the ratio 2:3,find these angles.

What is the reciprocal of $\frac{1}{7}$?

The first step that we will use to separate variables and constants in the linear equation 2x + 3 = 7 is

Choose the correct nets of a cube.

Find the mean of the following data:

$\begin{array}{cccccccc}x:& 19& 21& 23& 25& 27& 29& 31\\ f:& 13& 15& 16& 18& 16& 15& 13\end{array}$

A scalene triangle has __ lines of symmetry.

A die is thrown 325 times. The frequency of the outcomes of the event 1, 2, 3, 4, 5 and 6 are recorded in the following frequency distribution table.

$\begin{array}{ccccccc}\text{Outcome}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 50& 65& 45& 34& 55& 76\end{array}$

Find the probability of the occurrence of an (i) even number (ii) odd number.

$(100-52.8)-7.2=?$

V = 1 - 4t if t<4

V= 5 - 2t if t >6

Find the value of v (m/s) when t = 7

Match the equations given on the left with the respective values of $x$ on the right.

Factors of $18y^2+24xy+36y$ are:

In a quiz program the correct answer gets you $2$ marks. For each wrong answer, one mark is deducted from the total score. There are $50$ questions to be answered. If Preeti scored $76$ marks , how many of her questions were right?

Question 91 (iv)

Factorise the following:

$p^2+14p+13$

Question 53 (l)

Write the following statement in the form of algebraic expressions and write whether is monomial, binomial or trinomial.

Two times q subtracted from cube of q.

Ram drew $\angle ABC$ and then he drew a line segment $BD$ so that the line segment $BD$ is angle bisector of $\angle ABC$. Then, $\angle \left(ABC\right)=$ __ $\times \angle \left(ABD\right)$.

x+2x+3x-355+211=1234

Find x

The area of figure 1 (in $c{m}^2$​) ___ .

Facts or figures collected for a definite purpose are called _______.

Deepa invested a sum of money from March $2011$ to March $2016$ at the rate of $12\%$ p.a. If the interest received is $Rs.1620$, find the sum.

Suppose you are staying in a hostel and you have to enter the details of your studies on an online portal on daily basis. But there is one problem, the portal takes input only in hours. If you have studied for 5 hours and 15 minutes, how will you enter the number of hours studied in the portal?

75% can be written in fraction as:

Solve the inequation $6x-7<2x+5,x\in$ W and graph the solution on the number line.

A train 27 M long is running at 80 km /hour how much time will it take to cross a platform 130m long