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$36\frac{km}{hr}$ = ___ $\frac{m}{s}$

How many traigles can be draw having its as 30°,60°and 90°

From the figure given below, find out the measure of $\angle$COB and $\angle$AOC respectively.

If $P(2x-3,x+2)$ and $P^{\prime }(x+2,2x-3)$ represent the same point, then find the value of $x$.

A bag contains 155 Rupees in the form of 1 rupee,50 Paisa,a and 10 Paisa coins in the ratio of 3:5:7 . Find the number of each type of coins

If the polynomials divided (2×3+ax*2+3x-5) and leave the same remainder when divided by (x-2 )find the value of "a"

When 5 times the larger of the two numbers is divided by the smaller , the quotient and the remainder is 2 and 9 respectively . Form a linear equation in two variables

Which of the following is not true?

A quadrilateral with four congruent sides and four congruent angles is:

Which single geometric instrument is necessary to fulfill the same function of angle bisector construction?

Use the following information to answer the next question.

How many isosceles triangles are shown in the given set of figures?

In a triangle, if the sum of two angles is ${150}^{\circ }$, what is the third angle equal to?

A ladder is resting on a wall of height $10\sqrt{7}m$ such that the foot of the ladder when placed $10\sqrt{7}m$ away from the wall, half of the ladder is extending above the wall. When the tip of the ladder is placed on the tip of the wall, how far is the foot of the ladder from the wall?

Consider the following figure. If $AB=2BD,PD=AC$ and $2AP=AD$

What is the ratio $BC:BD$?

In triangle ABC; angle ABC = ${90}^0$ and P is a point on AC such that $\angle$ PBC = $\angle$ PCB. Show that : BP = CP.

The angles of a quadrilateral are in the ratio $1:2:3:4$. Then the angles of the quadrilateral are

If a diagonal of a rectangle is inclined to one side of the rectangle at ${40}^{\circ }$, then the acute angle between the diagonals is _____.

If $x^2$ + $y^2$ = 14 and xy = 3, find the value of $2{(x+y)}^2-5{(x-y)}^2$.

In how many points two distinct lines can intersect?

In the given figure, $AOB$ is a straight line. If $\angle AOC=(3x+10{)}^{\circ }$ and $\angle BOC=(4x-26{)}^{\circ }$, then $\angle BOC=?$

(a) ${96}^{\circ }$

(b) ${86}^{\circ }$

(c) ${76}^{\circ }$

(d) ${106}^{\circ }$.

The length of the longest rod that can be placed in a room of dimensions $(10m\times 10m\times 5m)$

(a) 15 m (b) 16 m (c) $\sqrt{5}m$ (d) 12 m

$\left(△ABCand△BDE\right)$ are two equilateral traingles such that D is the midpoint of BC.Then,ar$\left(△BDE\right)$:ar$\left(△ABC\right)$=?

(a) 1:2

(b) 1:4

(c) $\sqrt{3}:2$

(d) 3:4

Two lines are intersecting, if they have :

The opposite angles of a parallelogram are (3x - 2)^o and (50 - x)^o the measure of these angles is ______.

The difference between inside and outside surface of a cylindrical tube 14 cm long is 88 sq. cm. If the volume of the tube is 176 cubic cm,find the inner and outer radii of the tube.

To construct a histogram, Ankita observed the range of observations. She decided to divide that range into a number of parts. Then she does following calculation:
Range/no. of parts.

What are the terms used to describe
a. number of parts
b. range

If there are exactly two sides equal in a triangle, it is known as

Show that the quadrilateral formed by joining the midpoints of the pairs of adjacent sides of a square is a square.

Question 19

$\frac{4}{5}$ of 5 kg apples were used on Monday. The next day $\frac{1}{3}$ of what was left was used. Weight (in kg) of apples left now is

(a) $\frac{2}{7}$
(b) $\frac{1}{14}$
(c) $\frac{2}{3}$
(d) $\frac{4}{21}$

$\text{AB and CD are respectively the smallest and largest sides of a quadrilateral ABCD.}\text{Show that}\angle A>\angle Cand\angle B>\angle D.$

What are the possible expressions for the dimensions of the cuboid whose volume is 3x^— 12x

Find the value of a if (x-a) is a factor of the polynomial.

x⁶- ax⁵+ x⁴- ax³+ 3x- a+ 2

In the figure, what is y in terms of x?

In the given figure, AC the diameter of the circle with centre O. CD and BE are parallel. Angle $\angle$ AOB = ${80}^o$ and $\angle$ ACE = ${10}^o$. Calculate :

(i) Angle BEC,

(ii) Angle BCD,

(iii) Angle CED.

The point (-2, -1) lies in ____________

In the given figure,ABCD and ABFE are parallelograms scuh that ar(quad.EABC)=$17c{m}^2$ and ar(||gm ABCD)=$25c{m}^2$.Then,ar($△BCF$)=?

(a) $4c{m}^2$

(b) $4.8c{m}^2$

(c) $6c{m}^2$

(d) $8c{m}^2$

(i) How many lines can pass through a given point?
(ii) In how many points can two distinct lines intersect at most?

Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubic centimeter of copper weighs 8.4 g.

In the given figure, O is the centre of the circle and $\angle DAB={50}^{\circ }.$ Calculate the values of x and y.

The number of planes passing through 3 noncollinear points is

(a) 4

(b) 3

(c) 2

(d) 1

Find the perimeter and area of a quadrilateral ABCD in which BC = 12 cm, CD = 9 cm, BD = 15 cm, DA = 17 cm and $\angle ABD={90}^{\circ }.$

If a line segment is extended in both the directions then we will get a __