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If $\frac{5a+2b}{5a-2b}=\frac{5}{3}$, then a : b =

The pair of linear equations 3x + 2y = 5 and 2x - 3y = 7 will have

The class mark of class interval 25-30 is ______

​ABCD is a parallelogram and E and F are mid-points of AD and BC respectively. P is any point on AB. If area of ΔEDF=16 $c{m}^2$, then find the area of ( ΔAEP+ ΔBFP) [3 MARKS]

Find the value of y using substitution method:
$\sqrt{3}x=2$
$\frac{x}{3}=7-\frac{y}{5}$

In the figure, 2 AD = AB, P is the mid point of AB, Q is mid point of DR and $PR\parallel BS$. Then, $\frac{DS}{RS}=$

The value of the expression $\left[cosec\right({75}^{\circ }+q)-sec({15}^{\circ }-q)-tan({55}^{\circ }+q)+cot({35}^{\circ }-q\left)\right]$ is:

What is the area of the triangle ACD?

A bicycle wheel, diameter 56 cm, is making 45 revolutions in every 10 seconds. At what speed, in kilometre per hour, is the bicycle travelling?

Alex can solve a problem in 4 minutes. Brian can solve the same problem in ${\frac{1}{5}}^{th}$ of the time taken by Alex. How long does it take Brian to solve the problem?

The number of consecutive zeros in $2^3\times 3^4\times 5^4\times 7$, is

In the figure, it is given that RT = TS, $\angle 1=2\angle 2and\angle 4=2\angle 3.Provethat\Delta RBT\cong SAT.$

The median of the numbers 84, 78, 54, 56, 68, 22, 34, 45, 39, 54 is
(a) 45
(b) 49.5
(c) 54
(d) 56

In a parallelogram ABCD, $\angle D={135}^{\circ },$ determine the measure of $\angle Aand\angle B$.

The smallest rational number by which $\frac{1}{3}$ should be multiplied so that its decimal expansion terminates after one place of decimal is:

There is a square park of side length 7 m, if the cost of laying the grass in the field is Rs. 10 $m^2$​, find the total cost of laying grass in the field?
___

Consider the above figure where $O$ is the center of the circle, $AB=CD$ and $\angle AOB={30}^{\circ }.$ Then, $\angle AED$ = ___ and $\angle COD$ = ___.

A triangle has base length 1 cm. Its base angle is 45 degrees and the sum of its other 2 sides is [1+$\sqrt{2}$ cm]. What type of triangle is this? (2 words)

A pair of dice is rolled a 1000 times. The results are as shown.

$\begin{array}{ccccccc}& 1& 2& 3& 4& 5& 6\\ 1& 34& 26& 23& 28& 36& 30\\ 2& 25& 35& 20& 33& 20& 23\\ 3& 25& 27& 36& 23& 23& 30\\ 4& 30& 32& 24& 35& 23& 31\\ 5& 33& 28& 30& 25& 20& 26\\ 6& 26& 35& 21& 28& 25& 31\end{array}$

(i) What is the probability of getting a double?
(ii) What is the probability of getting a 6 on at least one of the two dice?
(iii) What is the probability of getting a 6 on exactly one dice? [4 MARKS]

If AB is a line and P is a fixed point (outside AB), how many lines can be drawn through P which are:
(i) Parallel to AB
(ii) Not parallel to AB.

In the given figure, ABCD is a parallelogram then ar($\Delta AFB$) is

In the given figure, x = ?

250 cylinders cups have to be filled with soup. If the height of the bowl is 4cm and diameter is 7 cm find the total volume of the soup required.(1000cm3=1L)

Length and width of rectangle are $(x+4)$ & $(x-1)$, then the area of the rectangle is.

If opposite angles of a parallelogram are supplementary, then the parallelogram is ______.

If the lateral surface of a cylinder is $94.2c{m}^2$ and its height is $5cm$, then find the radius of its base. [use $\pi =3.14$].

If 1 kg of corn flour costs Rs. 12, what will be the cost of 3 kg of corn flour?

The sum of roots of the equation $(x+1)(x+2)+(x+3)(x+4)+(x+5)(x+6)+\dots .(x+9)(x+10)=0$ is

WHAT IS A FOCI ?

How many circles can pass through 3 given points not in a straight line?

Factorise 3u³-4u²-12u+16

Express $4.95\times {10}^5$ in the usual form.

A trial of throwing of an unbiased die is performed. Which of the given options consists of the list of all possible outcomes?

In the given figure AC is the diameter of the circle. If arc AXB is equal to half of arc BYC. Find $\angle BOC$

If A is a subset of B, then A ⋃ B ___.

In fig., if AB = AC and PB = QC, then by which congruence criterion ΔPBC ≅ ΔQCB

Absolute error of a number is 0.4 and approximate value of the same number is 15. Then the actual value of number is

Read the following sentences and choose the correct option.

Who heads the selection committee?

The head of the family takes all decisions in my house.

Simplify $2^5{5}^5$

ABCD is a quadrilateral in which AD = BC. E, F, G and H are mid-points of AB, BD, CD and AC respectively. Then EFGH is a -

Statements: All men are dogs.

All dogs are cats.

Conclusions: All men are cats.

All cats are men.

An equilateral triangle ABC is inscribed in a circle of radius 18 cm, which is centered at O, as shown below. Then the length of the side of this triangle is equal to