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What is the quotient of $\frac{3x^3+4x+11}{x^2-3x+2}$

A's income is 20$\%$ less than that of B. By what per cent is B's income more than A's ?

Find the coordinates of points P,Q,R and S in Figure.

In $\Delta RST$, $RS$ = 5 cm, $\angle SRT={45}^{\circ }$ and $\angle RST={45}^{\circ }$. Which criterion can be used to construct $\Delta RST$?

Evaluate :
$\sqrt[3]{38000}$

Question 17

$(-25)\times [6+4]$ is not same as

(a) $(-25)\times 10$
(b) $(-25)\times 6+(-25)\times \left(4\right)$
(c) $(-25)\times \left(6\right)\times \left(4\right)$
(d) -250

1 card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a red face card. [2 MARKS]

$(-25)\times (-2)=$___ .

Factorise:

$4a^2-49b^2+2a-7b$

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of $\angle$POS and $\angle$SOQ, respectively. If $\angle$POS = $x^{\circ }$, find $\angle$ROT.

Ted with his friend Ned, was watching Mission Impossible. It was the climax scene, Ethan Grunt jumping from an-air plane during night. With the help of his gadgets, he got a blue print of a parallelogram shaped land he was about to land on and its measurements. Find the area of the place he can land to cheat death one more time by not falling in the rectangular killer swamp!

Find the least number which must be added to 5483 so that the resulting number is a perfect square.

The points (0, 0), (–2, 0) and (3, 0) lie on _____.

The sum 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 is:

1-x/0.3=3

The quotient obtained when $x^3-3x^2+x+2$ is divided by $x-2$ is

Which of the following is not a polygon?

A triangle with sides 12, 16 and 20 units is given.

Statement 1: To find the area of this triangle, the formula $Area=\frac{1}{2}\times base\times height$ is the ideal one to be used.

Statement 2: To find the area, the formula $Area=\sqrt{s(s-a)(s-b)(s-c)}$ is the ideal one to be used.

​Enter “1” if you feel Statement 1 is correct, or “2” if Statement 2 is correct.
___

What is the smallest number that must be added to the square of 5 to make it a perfect cube?

Factorise $(2x-y{)}^2-14x+7y-18$

Which of the following numbers is a perfect cube ?
(a) 141 (b) 294
(d) 216 (d) 496

The cost price of $10$ articles is equal to the selling price of $9$ articles. Find profit percent.

The sides of a rectangle are in the ratio $5:4$ and its perimeter is $90cm$. Find its length and breadth.

Using identities, evaluate: $9.5\times 10.05$

Find the smallest number by which 4851 must be multiplied so that the product becomes a perfect square.

find the no. of sides when total int.angles are 10 right angles

Factorise Completely : $a^4-b^4$

Question 23

Fill in the blanks to make the statement true.

Rectangular prism is also called a ___.

A black bag contains 100 casino chips with values €5, €10, €15, €20, €50. There are ten chips of value €5. You have to withdraw one chip from the box. What is the probability that it has a value more than €5?

Is Byju's sending soft copy of chapterwise test questions through mail ? Also, are you providing Hots and Olympiad type of questions?

Car A covers 5.5 km in 4 litres of petrol and another car B covers 1800 metres in 1 litre of petrol. Calculate the mileage per litre of petrol and now calculate which car travels more and by how much distance compared to the other? [4 MARKS]

Solve the following equations :

$(x-5)(x+3)=(x-7)(x+4)$

Factorise the trinomial $x^2-x-12$.

Factorise : $a(b-c)-d(c-b)$

Which of the following not equal to $y^6$?

Question 14

If two quantities p and q vary inversely with each other, then

(a) $\frac{p}{q}remainsconstant$
(b) $(p+q)remainsconstant$
(c) $(p\times q)remainsconstant$
(d) $(p-q)remainsconstant$

The length of a hall is 18 m and the width 12 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the wall.