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The height of students in a class is as follows: 136, 152, 144, 154, 135, 149, 151, 144, 139, 153, 144, 152, 135, 144, 154, 153, 144, 147, 138, 155, 147, 144, 148, 137, and 146.

What is the probability that the height of a student is 144 cm?(in decimals)___

PQRS is a cyclic quadrilateral such that PR is a diameter of the circle. If $\angle QPR={67}^{o}and\angle SPR={72}^o$, then $\angle QRS=$

$P\left(x\right)=(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)$.
What is the value of $P\left(11\right)\times P\left(10\right)\times P\left(9\right)\times P\left(8\right)\times P\left(7\right)\times P\left(6\right)$?

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a king.

In $\Delta$ ABC, DE is parallel to BC. Which of the following are correct?

1. 1

An angle is equal to five times its complement. Determine its measure.

Which of the following should be the SECOND sentence after rearrangement?

Question 171

Find the LCM of 80,96,125 and 160.

Find the value of k for which the system of equations 6x + 7y = 0, kx + 21y = 0 has infinitely many solutions. ___

The volume of a conical tent is 1232 $m^3$ and its base area is 154 $m^2$. The length of the canvas required to cover this conical tent if its width is 2 m will be:

If the area of trianlge ABC is 16 $c{m}^2$, find the area of triangle PRC.(in $c{m}^2$)

The following observations have been arranged in ascending order.If the median of the data is 63,find the value of x:

29,32,48,50,x,x+2,72,78,84,95

Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes.

$\begin{array}{ccccc}\text{Outcome}& \text{3 heads}& \text{2 heads}& \text{1 heads}& \text{0 heads}\\ \text{Frequency}& 22& 76& 83& 19\end{array}$

What is the probability of getting

(i) not more than one head?
(ii) at least two heads?
(iii) exactly two heads? [3MARKS]

P(x)=ax,a is not equal to 0

A point $C$ divides a line segment $AB$ in the ratio $5:6$. The ratio of lengths $AB:BC$ is ______.

Question 79(iii)

Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Interest for 2nd year.

Cube of $a-2b$ is _______.

Which of the following should be the SECOND sentence after rearrangement?

If $x=\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}$ and $y=\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}$, then x + y + xy =

The base and height of a parallelogram are 5 cm and 8 cm respectively. Find the area of the triangle formed by one of the diagonal with the adjacent sides of the parallelogram.

The distance between the points (–4, 7) and (1, –5) is ___ units.

Question 18
P is the mid-point of the side CD of a parallelogram ABCD. A line through C parallel to PA intersects AB at Q and DA produced at R. Prove that DA=AR and CW =QR.

In the figure, two circles intersect at A and B. The centre of the smaller circle is O and it lies on the circumference of the larger circle. If $\angle APB={70}^o$, find $\angle ACB$.

ABCD is a parallelogram. P is the mid point of AB. BD and CP intersect at Q such that $CQ:QP=3:1.Ifar\left(△PBQ\right)=10c{m}^2$
Find the ara of parallelogram ABCD.

In the given figure, AB = 5cm, BC = 4cm, AC = 3cm. What is the diameter of the circle?​

Can two intersecting lines be parallel to a common line?

If a + b + c = 0, then write the value of $\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab}.$

Find a rational number and also an irrational number lying between the numbers, 0.3030030003... and 0.3010010001...

$\text{Find the length of the longest pole that can be put in a room of dimensions}(10m\times 10m\times 5m.)$

Use identities to evaluate ${201}^2$

In the given figure, DE || BC, AE = 15cm, EC = 9cm, NC = 6 cm & BN = 24 cm. The value of ME & DM are

$\frac{1}{2}+\frac{3}{4}=?$

If $\sqrt{10}=3.162$, find the value of $\frac{1}{\sqrt{10}}$

Which pair of lines in the figure are parallel? Give reasons.

In a cyclic quadrilateral ABCD, if $AB||CD$ and $\angle B={70}^{\circ },$ find the remaining angles.

A diagonal of a rectangle is inclined to one side of the rectangle at ${35}^{\circ }$. The acute angle between the diagonals is

(a) ${55}^{\circ }$

(b) ${70}^{\circ }$

(c) ${45}^{\circ }$

(d) ${50}^{\circ }$

$\frac{sin(90-\theta )cos(90-\theta )}{cot(90-\theta )}$ + $si{n}^2\theta$ =

In a survey of 200 students from 7 different schools, 50 students do not play NFS, 40 students do not play Dota and 10 students play any online games. Then, find the no. of students out of 200 students who do not play both the games.