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In a grouped frequency distributions, the class intervals are 1-10, 11-20, 21-30,....The class width is

If $A=\{x:x^2-4\le 0,x\in Z\}$ and $B=\{y:y^2-9\ge 0,y\in Z\}$, then $n(A\cap B)$ is equal to

In given below Fig. $AOB$ is a straight line and the ray $OC$ stands on it. The value of $x$ is
(a) $16$
(b) $26$
(c) $36$
(d) $46$

All the following are criteria for measuring the congruency of triangles except the _____.

Question 3
The lengths of two parallel chords of a circle are 6 cm and 8 cm. If the smaller chord is at distance 4 cm from the centre, what is the distance of the other chord from the centre?

Factorise:
$\frac{2}{3}{x}^2-\frac{17}{3}x-28$

Question 22

x and y are said to vary directly with each other, if for, some positive number k,___ =k.

A wall 24 m long, 0.4 m thick and 6 m high is constructed with the bricks each of dimensions $25cm\times 16cm\times 10cm$. If the mortar occupies $\frac{1}{10}th$ of the volume of the wall, then find the number of bricks used in constructing the wall.

In the given figure, radius of the circle is $5cm$ and perpendicular distance from the centre of the circle to the chord $AC$ is $3cm$.

Find the length of the chord $AC$.

A right circular cylinder just encloses a sphere of radius r (see figure). Find

(i) surface area of the sphere,

(ii) curved surface area of the cylinder,

(iii) ratio of the areas obtained in (i) and (ii).

Question 7
The diameter of the moon is approximately one-fourth of the diameter of the earth.

Find the ratio of their surface area.

If $A=\left[\begin{array}{cc}1& tan\frac{\theta }{2}\\ -tan\frac{\theta }{2}& 1\end{array}\right]$ and AB = I, then B =

There are 20 cylindrical pillars in a building, each having a diameter of 50 cm and height 4 m, Find the cost of cleaning them at Rs 14 per $m^2$.

Which of the following graph represents 2x - y = 10?

Question 57

Fill in the blanks to make the statement true.

(-40) $\times$ ___ = 80

Question 103

By what number should $(-15{)}^{-1}$ be divided so that quotient may be equal to $(-15{)}^{-1}$?

In the given figure, $\frac{BC}{AC}$ = $\frac{24}{25}$ . Find the value of $cose{c}^{2}A$ – $co{t}^{2}A$ =

__

Find the distance between the points (-3, -3) and (4, 5).

The median AD of the $\Delta ABC$ is bisected at E, BE meets AC in F, then AF: AC is equal to

Factorise:
2a(x+y)- 3b (x+y)

If a coin is tossed three times, then what is the probability that at least one head occurs in the three trials?

If the mean of five observations $x,x+2,x+4,x+6,x+8$ is $11$, then the mean of first three observations is:

Three angles of a quadrilateral measure ${37}^{\circ }$, ${130}^{\circ }$ and ${53}^{\circ }$. Find the measure of the fourth angle.

Factorise $2x^7-128x$

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