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$△$ABC is such that AB = 5.5 cm and $\angle$A = 90${}^{\circ }$. Which among the given options is correct if we need to construct $△$ABC?

After buying a toy from the shop, I am left with $Rs.15$ from my $100$ rupees of pocket money. Then the cost of toy (in rupees) is:

If the ratios $2:a$ and $8:b$ are equivalent, then possible value(s) of $a$ and $b$ is/are

Find the quantity of paint required to paint all the faces of a room of dimensions 10 m $\times$ 8 m $\times$ 10 m, assuming paint to have negligible thickness.

Ascending order of following numbers
3/6, 2/8, and 4/9 is

Mangoes are being sold at 155/4 Rs per kg. What is the cost of 16/5 kg of mangoes ?

Question 3(vii)

Simplify:

(a+b+c)(a+b-c)

Which of the following is the product law of indices?

In the figure shown, lines l and m are parallel and lines r and t are transversals. Find x.

If the sum of the circumferences of two circles with radii $R_1$ and $R_2$ is equal to the circumference of a circle of Radius R then _________.

Question 58

State whether the following statement is true or false:

A cube of side 3 cm painted on all its faces, when sliced into 1 cubic cm cubes, will have exactly 1 cube with none of its faces painted.

3 out of 5 is equal to

Consider two families $A$ and $B.$ Suppose there are $4$ men, $4$ women and $4$ children in family $A$ and $2$ men, $2$ women and $2$ children in family $B.$ The recommended daily amount of calories is $2400$ for a man, $1900$ for a woman, $1800$ for a child and $45$ grams of proteins for a man, $55$ grams for a woman and $33$ grams for a child.

The requirement of calories and proteins for each person is given by matrix $R$ and the number of family members in each family is given by matrix $F.$



Matrix $F$ is

The maximum number of lines of symmetry possible in a polygon is equal to ___.

The cost of 5 hairbands is ₹60. What's the price of each hairband?

A square number can be expressed as product of consecutive even / odd numbers. For $n^2$, it is represented as:

What is the angle between the directions North and South?

The perimeter of a rectangular plot of land is 240m and it's length is 63m find the breadth and area of the plot

Question 180(vi)

Simplify :

$\frac{(3^{-2}{)}^2\times (5^2{)}^{-3}\times (t^{-3}{)}^2}{(3^{-2}{)}^5\times (5^3{)}^{(-2)}\times (t^{-4}{)}^3}$

Question 46

Fill in the blanks to make the statement true.

If a number is increased by 20, it becomes 45. Then, the number is .................

A car's number plate was to be painted equally in blue and red as shown in the figure. What will be the total cost of painting the car's number plate if red paint costs Rs 2 per $c{m}^2$ and blue paint costs Re 1 per $c{m}^2$? ___

5.4 is what percent of 18?

Question 74

In questions 60 to 79, state whether the statements are True or False.

If a bicycle was bought for ₹ 650 and sold for ₹ 585, then the percentage of profit is 10 %.

Observe the given figure.

Which of the following is the correct representation of the triangular sum of the FOURTH square in the sequence?

An angle is 2/3 of its complementary angle.Find the measure of the angle

Simplify:

$(14x^{1000}+20x^{10}{y}^5+3y^{1000})+$$(-2y^{1000}-10x^{10}{y}^5+x^2-14x^{1000})$