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If AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and $\angle$ ABC= ${60}^{\circ }$ are given, then can you draw a quadrilateral?

The factorised form of $21x^2{y}^3+27x^3{y}^3$ is __________.

Which of the following are applicable to the sentence?

Mitchelle and Bart joked and laughed about their dilemma.

Question 63

Find the value of k, where 31k2 is divisible by 6.

Sum of three consecutive numbers is 39. Find the numbers?

Consider six squares with sides of different lengths.The length of side of square is in direct proportion to:

A cylinder, a cone and a hemisphere have equal base and equal height. What is the ratio in their volumes?

If the radius and the height of a cylinder are 2 cm and 3 cm respectively, then its total surface area is:

1. 62

Tap on the pythagorean triplets among the following.

Name the polyhedron that can be made by folding each of the following nets :

The diameter of a wire is measured with a screw gauge having $50$ divisions on circular scale and by one complete rotation of circular scale, main scale moves $0.5\text{mm}$. If reading of screw gauge is $0.250\text{cm}$. The minimum percentage error in the reading will be

Pair the numbers with their respective additive inverses.

Question 60

In the following question, fill in the blanks to make the statements true.

The value of $[3^{-1}\times 4^{-1}{]}^2$ is ___ .

How to differentiate between a direct and an indirect variation?

A mat shaped in a parallelogram has a height of 4 cm and a base of 3 cm. How much would it cost to cover a parallelogram shaped hall with area 180 sq. cm with mats, if 1 mat costs Rs. 7?

Two sets are given as

Set$A=\{1,2,3,4,99\}$ and

Set$B=\{2,3,0,1,89\}$

Which of the following collection of ordered pairs represents the function defined from set $A$ to set $B$ ?

In the figure, it is given that $\angle$A = ${90}^{\circ }$, AB = AC, and point D bisects the side BC. Find $\angle$ADC.

A grandfather is ten times older than his granddaughter and he is 63 years older than her. Find their present ages.
[3 MARKS]

If $\sqrt[3]{34\frac{12}{125}}=x$, then the value x is:

Question 24

In the following question, out of the four options, only one is correct. Write the correct answer.

The standard form of 0.000064 is :

(a) $64\times {10}^4$

(b) $64\times {10}^{-4}$

(c) $6.4\times {10}^5$

(d) $6.4\times {10}^{-5}$

Area of the roti for your cousin is one-fourth the roti for you. What can you say about the ratio of $\frac{\text{radius of your cousin's roti}}{\text{radius of your roti}}$?

At what rate % per annum compound interest will Rs5000 amount to 5832 in2 years?

Which of the following shape has no edges?

The median class for the following data is
$\begin{array}{cccccc}\text{Marks}& \text{Below 10}& \text{Below 20}& \text{Below 30}& \text{Below 40}& \text{Below 50}\\ \text{No. of students}& & & & & \\ \text{(Cumulative frequency}& \text{5}& \text{10}& \text{23}& \text{31}& \text{40}\end{array}$

1. 234

Choose the correct pairs which statisfy the identity ${}^n{\text{C}}_r={}^n{\text{C}}_{(n-r)}$

An army camp of 250 men has provision for 350 days. After 25 days, 50 men died due to epidemic. The food will last for

How many sides does the flag of Nepal have?

In which of the following cases, a unique and stable quadrilateral cannot be constructed?

Question 57

${\left(\frac{4}{3}\right)}^5\times {\left(\frac{5}{7}\right)}^5={(\frac{4}{3}+\frac{5}{7})}^5$

Question 7

Zero (0) is:

(a) the identity for addition of rational numbers.

(b) the identity for subtraction of rational numbers.

(c) the identity for multiplication of rational numbers.

(d) the identity for division of rational numbers.

Convert $0.41\overline{6}$ into $\frac{p}{q}$ form.