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Find the value of $x$ in the equation

$\frac{x}{3}+4=2$

There is an ivory sculpture in the museum. It is of height 4/5 yd. It has 5 identical parts. Find the height of each part.

Factorise :
$3(a-2b{)}^2-5(a-2b)$

The graph of the linear equation: 2x+3y=6, cuts the y-axis at the point:

If the number of elements in each of universal set, set A and set B are represented as n(U), n(A), n(B) respectively, then the number of elements that are not in set A and not in set B is given by ___.

Find five rational numbers between:
$\frac{2}{3}$ and $\frac{4}{5}$

Which of the following traffic signs has a perimeter of 90 cm?

Question 27

If x varies directly as y, then

$\begin{array}{ccc}x& 12& 6\\ y& 48& -\end{array}$

Multiplicative inverse of ${10}^{-100}$ is:

___is added to -3/4 to get 2/4?

Construct angle ABC = ${45}^{\circ }$ in which BC = 5 cm and AB = 4.6 cm.

Question 92 (ii)

Radius of a cylinder is r and the height is h. Find the change in the volume if the height is doubled and the radius is halved.

The rates of working of A and B are in the ratio 3 : 4. The number of days taken by them t6:1 finish the work are in the ratio

(a) 3: 4

(b) 9 : 16

(c) 4 : 3

(d) 16 : 9

1. 2.2

If $\frac{x}{pq}+\frac{x}{qr}+\frac{x}{pr}=p+q+r$, then find the value of$x$.

Question 58

The compound interest on a sum of Rs P for T years at R% per annum compounded annually is given by the formula P $(1+\frac{R}{100})$

Separate the monomials, binomials and trinomials from the following:

What will be the cost of the product in ₹ after adding $10\%$ sales tax on ₹ 400? ___

Is the formula. " P*R*T/100" used to calculate interest for savings account?

Alisha has forgotten the passcode of her mobile consisting of 4 distinct digits. What are the number of different combinations she can make for retrieving the passcode?

Vishakha offers a discount of $20\%$ on all the items at her shop and still makes a profit of $12\%$. What is the cost price of an article marked at ₹280?

A cylinder is formed by rolling a rectangular sheet along its length as shown below. What is the radius of the cylinder?

Divide the given polynomial by the given monomial
$(3y^8-4y^6+5y^4)÷y^4$

Directions:- Study the following information carefully to answer the question given below.

Twelve persons are sitting in two parallel rows containing six persons each, in such a way that there is an equal distance between adjacent persons. In Row-I A, B, C, D, E and F are seated (but not necessarily in the same order) and all of them are facing south. In Row-2, P, Q, R, S, T and U are seated (but not necessarily in the same order) and all of them are facing north. Therefore, in the given sitting arrangement each person seated in a row faces another person of the other row.
S sits third to the right of R. S does not sit at an extreme end. Two persons sit between P and Q. T sits third to the left of U. R is not an immediate neighbour of U.
F sits third to the right of D. C does not sit at any extreme end. One person sits between B and D. D sits second to the left of C. C is not an immediate neighbour of B and A.

Four of the following five are alike in a certain way based on their sitting arrangement and hence form a group. Which one does not belong to the group?

In the expression $y^{(\sqrt{2}+\sqrt{6})}=\frac{1}{\sqrt[4]{4{11}^{(\sqrt{2}-\sqrt{6})}}},$ find the value of $y.$

Make a list of all perfect squares from 1 to 500.

Explain
why a rectangle is a convex quadrilateral.

1. 80

Shalini deposited Rs. 4,00,000 in a bank where she was promised an interest of 10%. She deposited it for a period of two years. Find the difference in the amount, if the interest is calculated in a compounded manner to the amount interested in a simple manner.
Fill the right answer in the blank ___.

If $ABCD$ is a rhombus whose diagonals cuts at the origin $O,$ then $\overrightarrow{OA}+\overrightarrow{OB}+\overrightarrow{OC}+\overrightarrow{OD}$ equals

The price of the milk has increased in the ratio 1:5. What would be the price of the milk this year if last year, the price was ₹ 20 per litre.