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The mean marks (out of 100) of boys and girls in an examination are 70 and 73 respectively. If the mean marks of all the students in that examination are 71, find the ratio of the number of boys to the number of girls.

In the figure, if $\angle ABC={20}^{\circ }$, then $\angle AOC$ is equal to

In the given figure, if the altitude and the base of parallelogram are 12 cm and 6 cm respectively, then the area of triangle BEC is:

In the given figure AD is median of $\Delta ABC$, DE is median of $\Delta ABD$ and EF is median of $\Delta BED$. If area of $\Delta BEF$ is $4c{m}^2$, then area of $\Delta ABC$ is

$\mathrm{The}\mathrm{volume}\mathrm{of}a\mathrm{wall},5\mathrm{times}\mathrm{as}\mathrm{high}\mathrm{as}\mathrm{it}\mathrm{is}\mathrm{wide}\mathrm{and}8\mathrm{times}\mathrm{as}\mathrm{long}\mathrm{as}\mathrm{it}\mathrm{is}\mathrm{high},\mathrm{is}12.8\mathrm{cu}.\mathrm{meters}.\mathrm{Find}\mathrm{the}\mathrm{breadth}\mathrm{of}\mathrm{the}\mathrm{wall}\mathrm{in}\mathrm{cm}.$

1. 40

The area of a regular hexagon of side 4 cm is

The polynomials ax^{​​​​​ax3}​​- 3x²+4 and 2x³-5x+a when divided by x-2 leave the remainder p and q respectively.If p-2q=4 , find a

If O is the centre of the circle, find the value of x in each of the following figures:

In the given figure, BA || ED and BC || EF. Show that $\angle ABC+\angle DEF={180}^{\circ }$.

i) Percentage of people in the height range 149.5 -159.5cm is equal to ______.

ii) Percentage difference between the number of people in the height range 159.5 - 169.5cm and 169.5 - 179.5cm is____.

If two arcs of a circle are equal, then length of their corresponding chords will be

Which of the following is a correct statement?

Calculate the amount, if Rs. 15,000 is lent at convound interest for 2 years and the rates for the successive years are 8% p.a. and 10% p.a. respectively.

Marks obtained by 5 students in a class test out of 25 are 12, 15, 12, 20, 17 respectively. Find the mode of given number of observations.

Find the range of the following data: 26, 21, 33, 17, 14, 15, 27.

A point is at a distance of 3 units from the x-axis and 5 units from the y-axis. Which of the following are the coordinates of the point?

1. 90

Find the value of k, If x+k is a factor of the polynomials:

x^4-k^2x^2+3x-6k.

Question 16

The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6 m.

√150(150-60) (150-100) (150-140)

√150*90*50*10

Now how to take common from this and so the answer comes 1500√3msquare.

Factorise:
$a^{12}-b^{12}$

‘p’ and ‘q’ are the zeroes of the polynomial $a{x}^2+bx+c=0$.

(x-p) and (x-q) are the only factors of the expression $a{x}^2+bx+c$,

The values of $a$ and $b$ are:

If $\frac{x}{x^{1.5}}=8x^{-1}andx>0,thenx=$

The value of sin30 is

In the given figure, $\angle ACE={43}^{\circ }$ and $\angle CAF={62}^{\circ };$

find the values of a, b and c.

Study the following figure and answer the items that follow.

Q72. Which letter represents the married teachers who live in a joint family?

नीचे दी गई आकृति का अध्ययन कीजिए और उसके आगे आने वाले प्रश्न का उत्तर दीजिए:

कौन-सा अक्षर एक संयुक्त परिवार में रहने वाले विवाहित शिक्षकों को दर्शाता है?

In the given figure
if $\angle BAC={60}^{\circ }$, AB = AC, then

Choose the major sector in the given figure.

In the given figure, O is the centre of a circle. If $\angle OAB={40}^{\circ }$ and C is a point on the circle then $\angle ACB=?$

(a) ${40}^{\circ }$

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

(c) ${80}^{\circ }$

(d) ${100}^{\circ }$

Solve for x and y; if $x>0$ and $y>0$ :
$logxy=log\frac{x}{y}+2log2=2$.

If $A=\left[\begin{array}{ccc}{1}^2& 2^2& 3^2\\ 2^2& 3^2& 4^2\\ 3^2& 4^2& 5^2\end{array}\right],$ then $|\text{Adj}A|=$