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A line segment 49 m long is divided into 2 parts in the ratio 3:4. Find the length of each part

If P(A) = 0.15, then P(not A) =

$\frac{0.01}{0.001}+\frac{0.001}{0.01}$ equals ______.

If y is inversely proportional to cube of x, and $x=5$ when $y=1$, find the value of $y$, when $x=3$

Let $U=\{1,2,4,6,8,9\},A=\{1,2,4\}$, then find $A^{\prime }$.

A person walks at the rate of $4km/hr$. How long will he take to go round a square park $5$ times , whose area is $2500m^2$?

Subtraction of $pq+6p^2-2q^2$ from $9p^2+2pq-3q^2$ will give the expression .

If $U=\{1,2,3,4,5\}$ and $A=\{2,5\}$, then $A^{\prime }=$

Solve the following problems.

What is the rate of interest, if a certain sum triples itself in 10 years?

The statement (in words) for (12a+7+2b) - x = 10 is:

The last digit of $8^{1026}$ is.

The average mark of $13$ papers is $40.$ The average mark of the first $7$ papers is $42$ and that of the last seven papers is $35.$ Then the marks obtained in the $7^{\text{th}}$ paper is

If MINJUT is coded as 312546 and RADA as 7898, how can MADURAI be coded?

The coordinates of the origin are:

The value of the mixed fraction $5\frac{3}{8}$ is:

What is the scientific notation of 165000000000000?

Karan covers 3.2 km in 16 seconds. How far can Karan run in 1 minute? Express it in metres. [2 MARKS]

If a polyhedron has 10 vertices and 7 faces,

find the number of edges in it.

Step 1: $3x+2=17$

Step 2: $3x=17-2$

This process of shifting the number from one side of the equation to the other side is called as ___.

Jack has $1,254$ books available with him. He gives $6$ books to each of his friends. How many of his friends would get $6$ books each if Jack is left with no book ?

In triangles ABC and PQR, if AB = QR,

BC = RP, and CA = PQ, then which of the following holds?

What is meant by Oblique Sketches and Isometric Sheets? [2 MARKS]

Sophia was counting the number of crystals in 5 kg of sugar. Can you help her to find the number of crystals in 5 kg without actual counting if 12 kg of sugar contains $24\times {10}^4$ crystals?

After playing, Ted remembered that he doesn’t have a home there. Luckily, number $13$ was passing by and asked him if he wanted to stay at its place. Having no other option (and surprised that number $13$ brought good luck), Ted went with $13$. When he reached the house, he was surprised to see that all the houses were placed in a straight line at equal separation. Neighbours of $13$ were $12$ and $14$; similarly $14$ had $13$ and $15$ as neighbours. $13$ said, “This line, mathematically, is called ______.”

A square of side $y$ is shown in the figure given below:

Find an expression for the difference between the area and perimeter of the square.

If $x<2$ is represented on number line as

then $x-2<$ is represented as __

Note: In a number line, a closed circle on the number gets included in the solution, while an open circle on the number will not get included in the solution

1. 1.5

What is mixed fraction?

Q. With the given six digits $(1,2,3,4,5,6)$, how many $3$ digit numbers can be made (without repetition of any digit in the number)?

The product of 0.05 and 0.9 is ___.

Select the odd one out.

$4x^{4}yz$, $6x{y}^{4}z$, $2y{x}^{4}z$, $zy{x}^4$

A pentagon has ___ lines of symmetry.

In the figure below, lines XY and MN intersect at point O. If ∠POY = ${90}^{\circ }$ and A:B = 2:3, find $\frac{C}{2}$.

Ramesh is selling oranges and guavas. He gains ₹1 on selling an orange and loses ₹2 on selling a guava. If there is no profit or loss on the whole, what fraction of the total fruits sold were guavas?