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Frame the algebraic expression:

Number 5 added to three times the product of m and n.

Find the value of a:
$43=a\times 4+1\times 3$

_____

The congruence criterion SSS stands for

$△$XYZ is drawn with the length of side XZ being 4.7 cm. If $\angle$X is 80${}^{\circ }$ and $\angle$Z is 65${}^{\circ }$, then, the measure of $\angle$Y and the length of side YZ respectively are

X and Y are partners with a profit sharing ratio of 1 : 2 with capitals of Rs 4,00,000 and Rs 6,00,000 respectively. On 1st October, 2014 X and Y granted loans of Rs 1,00,000 and Rs 60,000 respectively to the firm. Distribute the profit/losses amongst the partners for the year ended 31st March, 2015 in each of the following cases:

Case (a) If the profit before interest for the year amounted to Rs 12,000.

(b) If the profit before interest for the year amounted to Rs 3,000.

(c) If the loss before interest for the year amounted to Rs 7,500.

(i) Will the value of $2x^2+12x+3$ for x = - 4 be greater than or less than 15?

(ii) If $x^2$ is added to $2x^2+12x+3$ and 15 is subtracted from it then evaluate its value at x = -4? [3 MARKS]

A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is $\frac{2}{3}$. Find the number of blue marbles in the jar.

1. 25

In figure, lines XY and MN intersect at O. If $\angle POY={90}^{\circ }$ and a : b = 2 : 3, find 'c'.

Draw a histogram from the given data of a class students.

$\begin{array}{cc}\text{Weight (kg)}& \text{Number of students}\\ 35.5-40.5& 4\\ 40.5-45.5& 15\\ 45.5-50.5& 12\\ 50.5-55.5& 13\\ 55.5-60.5& 6\end{array}$
[4 MARKS]

A ray OC is constructed on a line segment AB such that ∠BOC is x°. ∠AOC is ______.

Find x when (x/4) = 5

What is the value of 15/x=3?

A man travelled ¾ of his journey by bus 1\5 by taxi and remaining 5km on foot . Find the total distance of his journey.

Question 146

$\Delta DEF$ and $\Delta LMN$ are both isosceles with DE = DF and LM = LN, respectively. If DE = LM and EF = MN, then are the two triangles congruent? Which condition do you use?
If $\angle E={40}^{\circ }$, what is the measure of $\angle N$?

ABC is an equilateral triangle of side 2a. Then the length each of its altitude is

Which of the following polygon has the formula $\frac{1}{2}$ {(sum of parallel sides) × h} for the area?

If the length of one side of the square shown in fig:a is 1m. Which of the following options will best describe the area of square shown in Fig: b?

Subtract the sum of 2 whole 3/7 and -5 whole 4/7 from the difference of 4/15and -2/5

Pawan is a cashier in a bank. He has currency notes of denominations 1000, 500 and 100 which are in the ratio 2:3:5. If the total cash with Pawan is ₹ 5,00,000, how many ₹1000 notes does he have?

Write 29 as the sum of powers of 2

The sum of two adjacent angle is 110 degree . If one angle is 30 degree more than the other. Find the measures of the 2 angles.

If the interest charged for 18 months is 0.15 times the money borrowed under simple interest, then the rate of interest per year is _______

ABC is an isosceles triangle with AB = AC. AD is common to triangle ABD and ACD (perpendicular bisector). Then :

$\angle BAD$ = _____

A food item contains flour and sugar. The ratio of flour and sugar is 7:5 and the total quantity of the food item is 48 kgs.

If the quantity of food item is doubled, find the amount of flour present in the overall food now.

Which of the following shapes have six faces?

The idea of the perimeter plays a vital role for:

Change the units of the following measures into the measures given below. [3 MARKS]

$\begin{array}{ccc}Measure& Changetrom& Changeto\\ 7& Kilograms& Grams\\ 274& Millimeters& Centimeters\\ 145& Paise& Rupees\end{array}$

In the given figure, $\Delta AEC$ and $\Delta DBF$ are equilateral. Prove that all other triangles are equilateral. (Given that bases of the triangles are parallel).
[4 MARKS]

Question 93

In th egiven figure, OB is perpendicular to OA and$\angle BOC={49}^{\circ }.$ Find $\angle AOD.$

If $\frac{\left(2n\right)!}{(3!)\times (2n-3)!}:\frac{n!}{(2!)\times (n-2)!}=44:3,$ find the value of n.

This question is in the booklet provided by Byju's.

The sum of two integers is -56. The quotient is 7. What will be the integers...?

Every month, a man spends 72% of his income and saves ₹12,600. Find: (1) his monthly income (2) his monthly expenses

Question 4 (ii)
If $\Delta DEF\cong \Delta BCA$, write the part(s) of $\Delta BCA$ that corresponds to:
$\overline{EF}$

28945*99-(-28945)

Question 3(a)
Give first the step you will use to separate the variable and then solve the equation:
3n - 2 = 46

A motorboat travels 40 Km downstream in 4 hours and 30 Km upstream in 5 hours. Find the speed of the stream(in Km/hr).

Select the correct answers.

1. 1

Find the length of the side of a cube whose surface area is $1536c{m}^2$.