Explore topic-wise InterviewSolutions in Current Affairs.

If $\frac{2}{x+10}=\frac{8}{x}$ then the value of $x$ is

If in the given figure, triangle ABC and triangle DCE are equilateral, the measure of the angle ACD is

How to find the square roots of a five digit number 16244

Factorise : $x^2+5xy+4y^2$

Question 6(ii)
Simplify:
(ii) $7^2\times 2^2$

Three numbers are in the ratio of 4 : 5 : 6. If the sum of the largest and the smallest is equals to the sum of the third and 55, find the numbers.

The width of a rectangle is two-thirds its length. If the perimeter is 180 metres, find the dimensions of the rectangle.

Express the following as decimal fractions:

(i)27% (ii)6.3% (iii)32% (iv)0.25% (v)7.5% $\left(vi\right)\frac{1}{8}\%$

Identify the shape that has 2 lines of symmetry, as well as the order of rotational symmetry, is 2.

Question 61

Sum of all the central angles in a pie chart is ${360}^{\circ }$.

Question 81 (iii)

Add :

$x{y}^2{z}^2+3x^2{y}^{2}z-4x^{2}y{z}^2,-9x^2{y}^{2}z+3x{y}^2{z}^2+x^{2}y{z}^2$

Question 147

Stretching Machine
Suppose you have a stretching machine which could stretch almost anything. e.g. If you put a 5 m stick into a (x 4) stretching machine (as shown below), you get a 20 m stick.
Now, if you put 10 cm carrot into a (x 4) machine, how long will it be when it comes out ?

Construct a parallelogram PQRS such that PQ =5.2 cm, PR=6.8 cm, and QS=8.2 cm,

Write the following in generalised form:
i) 425

ii) 7799001

iii) 4535

iv) 5621 [4 MARKS]

Explain the cartesian coordinate system with an example. [2 MARKS]

1. 150

Factorise by grouping method:

$ab(x^2+1)+x(a^2+b^2)$

What will be the unit digit of the square of 121223?

Factorise : $x^2+6x+9-4y^2$

The following are the expenses of a household.

$\begin{array}{cc}\text{Items}& \text{Expenditure (in}₹)\\ \text{Food}& 4000\\ \text{Clothing}& 2000\\ \text{Rent}& 1500\\ \text{Education}& 1500\\ \text{Miscellaneous}& 1000\end{array}$

When drawing a pie – chart, the central angle for money spent on education will be ____ .

According to a survey conducted in a city, 25% were doctors, 30% engineers, 15% businessmen and rest were illiterates. What is the number of illiterates if the total population of the city is 5000?

A man borrows ₹5000 at 12 % compound interest payable every six months. He repays ₹1800 at the end of every six months. Calculate the third payment he has to make at the end of 18 months in order to clear the entire loan.

The cube root of (-63 x -73 ) is

Question 37

If x varies inversely as y and x=4 when y =6, when x =3, then value of y is___

|x^2 -1| + x +1

Find the value of x such that: $4^{x+1}\times 2^2=32$

There is a regular octagonal park. Find the surface area of the park (in $m^2$ ).
___

The states of the eighteenth century can be divided into how many overlapping groups?

What are the common factors of ​$3x^{3}y,5x{y}^2$ and $15xy$?

What is the greatest number of acute angles that can occur in a convex n gon

A plastic can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. Initially quantity of liquid A in the mixture is ___ liter(s).

How natural numbers

are their between 19sq and 23sq

Simplify : $\left[\right\{(-5{)}^5\times (-5{)}^{-10}\}÷2^5]\times {10}^5$ [4 MARKS]

Q6. Consider the following statements:

1. DTAA is a tax treaty signed between countries (or any two/multiple countries) so that taxpayers do not pay double taxes on their income earned from source country as well as their residence country.

2. The need for DTAA arises out of imbalance in tax collection on global income of individuals.

Which of the above statement(s) is/are correct?

In what ratio should two kinds of sugar at Rs. 140 and Rs. 260 per quintal be mixed so that the price of each quintal of the mixed sugar will be Rs. 200?

A square is a _______ with equal sides.

Ages of 44 residents living in a society are given in the following frequency distribution table.

Question 116(i)

Following is a pie chart showing the amount spent (in Rs thousands) by a company on various modes of advertising for a product.
Now, answer the following questions
Which type of media advertising is greatest amount of the total ?

The length of a rectangle is 15 CM greater than its breadth its perimeter is 150 centimetre find the dimensions of the rectangle