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A man's salary increased by 10% and then again by 10%. Due to corrections made by the company, his salary was decreased by 20%. By what percent did his salary increase or decrease?

In a triangle ABC, ∠B = 70°, Find ∠A + ∠C.

Match the values with the corresponding laws of exponents.

Question 2 (vii)

The following number is obviously not a perfect square. Give reasons.

222000

What will $A^{1/3}\times A^{1/3}\times A^{1/3}$ be equal to?

The marks obtained by 40 students of class VIII in an examination are given below:

16, 17, 18, 3, 7, 23, 18, 13, 10, 21, 7, 1, 13, 21, 13, 15, 19, 24, 16, 3, 23, 5, 12, 18, 8, 12, 6, 8; 16, 5, 3, 5, 0, 7, 9, 12, 20, 10, 2, 23.

Divide the data into five groups, namely 0-5, 5-10, 10-16, 15-20 and 20-25 and prepare a grouped frequency table.

A rhombus ABCD is to be constructed with side AD = 5 cm. Which of the following dimensions must also be specified to construct the rhombus?

Four alternative options are given for each of the following statements. Select the correct option.

The median of 37, 83, 70, 29, 32, 42, 40 is:

A. 29

B. 30

C. 40

D. 42

Choose the correct option:

Give a point on the plane, one can draw ____________

A. unique

B. two

C. finite number of

D. infinitely many lines through that point

Simplify:

$\frac{2}{3}\times \frac{6}{1}+\frac{3}{5}÷\frac{2}{7}-{\left(\frac{8}{3}\right)}^2\times \frac{3}{4}$

Find each of the following products:

$(x^3-2x^2+5)\times (4x-1)$

Four alternative options are given for each of the following statements. Select the correct option.

The size or width of the Class interval (0 - 4) is

A. 4

B. 5

C. 3

D. 0

Let pqr be a three digit number. Then, pqr + qrp + rpq will not be always divisible by

Given the universal set = $\{-7,-3,-1,0,5,6,8,9\},A=\{x:x<2\}$ then $A^{\prime }$ is

Find the value of

$\frac{3}{5}\times (\frac{35}{24}+\frac{10}{1})$

In algebra, terms are added to form ___________.

How many rectangles does a $4\times 4$ square has?

Which of the following is not a congruence criteria?

Which of the following correctly depicts three rational numbers between -1 and -2?

Reena loves cycling. She rode her bicycle for $3\frac{1}{5}miles$ in the evening. Express this distance as an improper fraction.

Jayant, Kartik and Leena were partners in a firm sharing profits and losses in the ratio of 5:2:3. Kartik died and Jayant and Leena decided to continue the business. Their gaining ratio was 2:3. Calculate the new profit sharing ratio of Jayant and Leena.

If 70 men dig 15,000 sq. m of a field in 5 days, how many men will dig 22,500 sq. m field in 25 days?

Draw a histogram to represent the following frequency distribution.

The measure of each exterior angle of a regular polygon of 12 sides is ______ .

Find the digit A

$$\begin{array}{c}BA\\ \times B3\\ 57A\end{array}$$

Question 59

In the following question, fill in the blanks to make the statements true.

On multiplying ___ by $2^{-5},$ we get $2^5$.

In the given figure, aBCD is a square. Find the measure of $\angle CAD$.

Evaluate:

$\left(i\right)(\frac{5}{3}{)}^2\times (\frac{5}{3}{)}^2$

$\left(ii\right)(\frac{5}{6}{)}^6\times (\frac{5}{6}{)}^{-4}$

$\left(iii\right)(\frac{2}{3}{)}^{-3}\times (\frac{2}{3}{)}^{-2}$

$\left(iv\right)(\frac{9}{8}{)}^{-3}\times (\frac{9}{8}{)}^2$

Find the mode of 11, 3, 5,11, 7, 3, 11.

$\text{Find the product of}(7x-4y)\text{and}(3x-7y).$

After buying a toy from the shop, I am left with ₹15 from my 100 rupees of pocket money. Then, find the cost of toy (in rupees).

If $AD$ is median of $△ABC$ and area of $△ACD=15\text{cm}{}^2,$ then area of $△ABC$ is

When we add $5a^{2}b+6ab+7bc+54$ and $14ab+8bc+16$, we get:

Find compound interest on Rs. 7500 at 4$\%$ per annum for 2 years, compounded annually.

Three identical square sheets of paper need to be cut into 4, 5, and 6 stripes of equal size respectively. Find the minimum length of the side of the original square sheet.