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Select the bubbles that give negative exponent after simplification.

1. 58

You deposit ₹400 in a bank account at $5\%$ simple interest per year. How much interest would you have earned after 3 years?

Find the interior angles of a right-angled isosceles triangle.

If
$AB\times 5\underset{–}{}1BB\underset{–}{}$

then which of the following is correct?

Match the numbers in the column A with their squares in the column B:

A tin holds 33/2 litres of oil then how many such tins will be required to hold 627/2 litres of oil?

Question 39

Fill in the blanks to make the statements true.

The digit at the one's place of ${57}^2$ is ___

If a + b = c and a $\times$ b = c , where a and b are whole numbers, then c is also a whole number. This follows which of the properties of whole numbers?

Which of the following are correct axial distance and axial angles for a rhombhohedral system?

Expand $(2x+4y{)}^2$ using algebraic identity.

In the figure, ABCD is a parallelogram and AP = CQ. Prove that PD = BQ. Prove also that the quadrilateral PBQD is a parallelogram.

The value of $\sqrt{\frac{36}{49}}$ equals to

Using Eulier's formula, find the values of x, y and z.

$\begin{array}{cccc}& \text{Faces}& \text{Vertices}& \text{Edges}\\ \left(i\right)& x& 15& 20\\ \left(ii\right)& 6& y& 8\\ \left(iii\right)& 14& 26& z\end{array}$

The cost price of a tablet is 20000.What is the total amount to be paid if tax is 5% of the cost price?

Find a+ b + c; if $a^2+b^2+c^2=83andab+bc+ca=71$

In the figure below, the diagonals of the quadrilateral ABCD are perpendicular to each other.

For the given triangles, which of the following is true?

Question 3 (iii)
The squares of which of the following would be odd number:

7779

In what period will Rs 5,200 amounts to Rs 7,384 at 12% per annum simple interest?

Question 1 (x)

What will be the unit digit of the squares of the following number:

55555

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

Factorise the following
expressions.

(i) a²
+ 8a + 16

(ii) p²
− 10p + 25

(iii) 25m²
+ 30m + 9

(iv) 49y²
+ 84yz + 36z²

(v) 4x²
− 8x + 4

(vi) 121b²
− 88bc + 16c²

(vii) (l + m)²
− 4lm (Hint: Expand (l + m)²
first)

(viii) a⁴
+ 2a²b² + b⁴

The breadth and length of a rectangle are in the ratio 2:3. In a rectangle with breadth 1 centimetre less than this and length 3 centimetres less, the breadth to length ratio is 3:4. Find the lengths and breadths of both rectangles.

Three equal cubes are placed adjacently in a row. Find the ratio of the total surface area of the new cubiod to that of the sum of the surface areas of the three cubes.

Write 0.00000000000321 in standard form.

Question 66

A three-digits number 2a3 is added to the number 326 to give a three-digits number 5b9 which is divisible by9. Find the value of b - a.

Question 97:

What's the error?
A student said that $\frac{3^5}{9^5}$ is the same as $\frac{1}{3}$. What mistake has the student made?

From the given pie charts, find X (the percentage of people who like Reading). The percentage of people who like movies is 4% less than that of the people who like playing.

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

Sum of two negative integers is:

A. negative

B. positive

C. zero

D. infinite

The common factor of 3ab and 2cd is:

The points (-5, 2) and (2, -5) lie in which quadrant?

Find the least number that must be added to 3325 so as to get a perfect square.(Use long division method)

Cost of a
dozen pens is Rs 180 and cost of 8 ball pens is Rs 56. Find the ratio
of the cost of a pen to the cost of a ball pen.

If $\int \frac{dx}{x^{22}(x^7-6)}=\frac{1}{K}\{\ln |t|-\frac{t^3}{3}-3t+\frac{3t^2}{2}\}+C$, then which of the following is/are true

(where $K$ is fixed constant and $C$ is constant of integration)

When 7xy + 5yz - 3zx, 4yz + 9zx - 4y and - 3xz + 5x - 2xy are added, we get: