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Which one of them is the solution for x, when x is integer and 12 x > 30?

There are $5$ different shirts ${}^{\prime }{P}^{\prime }$ to ${}^{\prime }{T}^{\prime }$ placed in a row for a hanger (not necessarily in alphabetical order). If the shirt ${}^{\prime }{Q}^{\prime }$ is exactly placed between ${}^{\prime }{R}^{\prime }$ and ${}^{\prime }{S}^{\prime }$, ${}^{\prime }{R}^{\prime }$ is not at either extreme, and ${}^{\prime }{P}^{\prime }$ is somewhere between ${}^{\prime }{S}^{\prime }$ and ${}^{\prime }{T}^{\prime }$, then which shirt is placed in the middle.

In the given figure, if x= ${120}^{\circ }$ and y= ${50}^{\circ }$, then find the value of z.

Question 4(ii)
The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions:

How many more marks were obtained by the students in Mathematics than in Hindi?

Factorise:

$a^6+27b^3$

$(a+b+c)(a-b-c)$ = ______

Construct an isosceles triangle whose altitude is 6.6 cm and vertex angle is 60°.

Match the numbers in the first column with their respective conjugate pairs.

Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

Which of the following is the largest set of numbers?

A verandah 50m long and 12m broad is to be paved with tiles , each measuring 6dm by 5dm. Find the no.of tiles needed.

The total value of pie chart is always equal to:

Define Section 37 of the Indian Partnership Act, 1932.

Question 119 (vi)

Write two integers which are greater than -10 but their sum is smaller than -10.

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 _____.

On the number line given below, which rational number is indicated by the point E?

What is the interest for 16,000 rupees at $12\frac{1}{2}\%$ for one year? What would be the interest if the rate of interest is only $6\frac{1}{4}\%$.

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

Select the correct option.

If Rs 1,600 is the commission at 8% for goods sold through a broker the selling price of the goods is:

A. Rs 18,000

B. Rs 20,000

C. Rs 22,000

D. Rs 24,000

Shane has to fill a water tank in 3 hours 40 minutes and he used 7 pipes for that. How many pipes should he use to fill the tank in 1 hour 21 minutes?

Which of the following options is not true?

The value of $\frac{\sqrt[3]{3-8}}{4}$ is _____.

Express 5005 as a product of its prime factors.

Find the value of the following:

$297\times 17+297\times 3$

Question 108(i)
Verify the property $x\times y=y\times x$ of rational numbers by using $x=7$ and $y=\frac{1}{2}$

Which of the following identity can be used to factorize $x^2-4y^2$?

Question 104

Many schools have a recommended students teachers ratio as 35:1.
Next year, school expects an increase in enrollment by 280 students.
How many new teachers will they appoint to maintain the students -teachers ratio?

Find the volume of a cube if each face of a cube has a perimeter of $32cm?$

Choose the triangle that is cut into equal parts.

Without adding, find the sum:

1 +3 + 5+7 + 9 +11 +13+ 15 + 17+19

Question 58

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

On dividing $8^5$ by ___ we get 8.

If the value of $a^2+b^2$ = 41 and ab = 20, find the value of a-b

From the figure, pair the correct trigonometric ratios.

Question 98

Solve the following question:

Is 176 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square.