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find the greatest four digit no. which when divided by 20, 24 and 45 leaves a remainder of 18 in each case.

If F is the number of faces, V is the number of vertices and E is the number of edges of the given solid, then, F + V - E = ___.

The CGS unit of density is .

The quotient when 72 is divided by 0 is

If AB = 3 cm and P is a point on AB. If CP is perpendicular bisector of AB then AP =

Solve the following Linear equations

x\2 _ 1\5 = x\3 +1\4

A rectangular cardboard has sides of length 5 m and width of 3 m. The area of the card board is:

If $P=\{P:PisletterofthewordPERMANENT\}$. Then n(P) ___.

Find the surface area of a circular park having diameter 50m. (Take $\pi =3.14$)

Number of sticks required to design the letters "L” and "N” are 2 and 3 respectively. How many sticks are required to make "LNNL”?

The method in which we find the value of one unit and then the value of the required number of units is known as

In a bike race of 15.75 km, after covering 7.8 km, the racer halted for rest. After another 1.3 km, he again stopped. How many kilometers are yet to go?

Which of the following figures has exactly 1 pair of parallel sides?

Convert $\frac{7}{4}$ to decimal form.

What is the volume of the following figure?

Find the mean of the following distribution :

$\begin{array}{cccccc}x:& 4& 6& 9& 10& 15\\ f:& 5& 10& 10& 7& 8\end{array}$

write a 5-digit number using digits 1,2,3,4,5 which is divisible by 8 .Use the digits only once.

Estimate (to the nearest hundred's place): 15,990 - 1216.

A storage tank is in the form of a cube of side 4.5 m. Find the volume of the cubical tank.

Find the length of a side of an equilateral triangular garden whose perimeter is 66 m.

Select the numbers that could be added to 43581 to make it divisible by 5.

What is the scale of the bar graph shown below? [1 MARK]

Question 3 (c)

Write the following decimal in the place value table:

19.60

Express 1.65 as a percentage.

(794*9)+(794*991)

Simplify using distributive law

Shubhendhu has Rs 200 with him. He buys 25 chocolates worth Rs 5 each. What is the amount remaining with Shubhendhu after buying 25 chocolates?

The figure below shows a circle divided into 3 equal parts. The shaded region corresponds to ${\frac{2}{3}}^{rd}$ of the circle. If the unshaded region corresponds to ${\frac{a}{3}}^{rd}$ of the circle. Then, the value of '$a$' is ___ .

Choose the correct option regarding the accuracy of the given statements:
Statement 1: All numbers divisible by 4 must also be divisible by 8
Statement 2: All numbers divisible by 8 must also be divisible by 4

Find the greatest number that will divide 445,572 and 699, leaving remainders 4,5,6 respectively

The sum of the interior angles of a quadrilateral is ________.

Question 1 (a)

Complete the table with the help of the box and use decimals to write the number:

$\begin{array}{cccc}Ones& Tenths& Hundredths& Number\\ & & & \end{array}$

The volume of a room is $16m^3$ and the area of the floor is $4m^2$. The height of the room would be .

Which of the following is the relation (R) for the given sets A = {1, 2, 3, 4}, B = {a, b, c}.

The figure below shows a circle divided into 3 equal parts.The shaded region corresponds to ${\frac{2}{3}}^{rd}$ of the circle. The unshaded region corresponds to ${\frac{a}{3}}^{rd}$ of the circle. Then, the value of a is _____.

___

The measures of the inner $\angle A$ and inner $\angle C$ in the given figure is

Which of the following is the correct order?

Question 1 (b)

Express the following as rupees using decimals:

75 paise

Question 8 (b)

Write four negative integers less than –10.

Question 3 (b)

Express the following as cm using decimals:

60 mm

In the given number line, what is the fraction that point A denotes?

Question 3(d):

Express the following as improper fractions:

$10\frac{3}{5}$

Question 3 (c)

Name the following triangle in two different ways: (You may judge the nature of angle by observation)

In a school bus there are 44 students. If $25\%$ of them are girls, then find the number of boys in the bus.

Karan spends Rs. 5000 on food which is $\frac{5}{8}$th of his income. Karan's income is ___ (in rupess).

$\text{Convert}12\frac{6}{7}\text{to improper fraction}?$

Derive the general rule for the perimeter of the rectangle?
( use $l$ and $b$ for length and breadth of the rectangle respectively)