Explore topic-wise InterviewSolutions in Current Affairs.

Which figure given below is a closed curve as well as a polygon?

A sum of money is put at compound interest for 2 years at $20\%$ p.a. It would fetch ₹ 482 more, if the interest were payable half-yearly, than if it were payable yearly. The sum is

Which of the following expressions are polynomials?
(i) $x^2+4$
(ii) $4-x^{-1}$
(iii) $2x^2-\frac{2}{x}$

Verify each of the following :

(i) $(\frac{5}{7}\times \frac{12}{13})\times \frac{7}{18}=\frac{5}{7}\times (\frac{12}{13}\times \frac{7}{18})$
(ii) $\frac{-13}{24}\times (\frac{-12}{5}\times \frac{35}{36})=(\frac{-13}{24}\times \frac{-12}{5})\times \frac{35}{36}$
(iii) $(\frac{-9}{5}\times \frac{-10}{3})\times \frac{21}{-4}=\frac{-9}{5}\times (\frac{-10}{3}\times \frac{21}{-4})$

A swimming pool is 250 m long and 130 m wide. 3250 cubic metres of water is pumped into it. Find the rise in the level of water.

Which of the following is correct.

Find the value of the following expression ​_​​​​​​​​ ( with the steps )​​​​_​​​ :

_​​​​( 8 × (4²)⁴ × 3³ × 27²) + (9 × 6³ × 4⁷ × (3²)³)

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(24 × (6^​​​​​​​²)⁴ × (2⁴)²) + (144 × (2³)⁴ × (9²)² × 4²

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Question 92 (xix)

Factorise the following using the identity $a^2-b^2=(a+b)(a-b).$

$x^4-1$

Question 72

State whether the statement is True or False.

5 - (- 8) is same as 5 + 8.

In a two digit number, the digit at the ten's place is thrice the digit at the unit's place. If the number obtained by Interchanging the digits is added to the original number, the sum is 44. Find the number.

On the coordinate axes: [3 MARKS]

(a) Draw a rectangle ABCD, such that its vertices are (4, 3), (4, -2), (-2, -2) and (-2, 3) respectively.
(b) Draw the graph of the equation y=5.

The opposite sides of a parallelogram are given by (7x-5) cm and (13-2x) cm find the length of the sides.

The distance from the Earth to the Sun is 149,600,000,000 m. Express it in standard form.

A linear equation in two variables

A car can finish a certain journey in 10 hours at the speed of 48 km/hr. By how much should its speed be increased so that it may take only 8 hours to cover the same distance ?

Splitting into prime factors, find the square root of:

i)396900

ii)194481

Factorise :

6a(a-2b)+5b(a-2b)

What is a positive integer

Question 4

The number of teeth and the age of a person vary
(a) directly with each other
(b) inversely with each other
(c) neither directly nor inversely with each other
(d) sometimes directly and sometimes inversely with each other

A money box contains one rupee and two rupee coins in the ratio 5:6. If the total value of coins in the money box is ₹85, find the number two rupee coins..

Factorise: a³(b - c)³ + b³( c - a)³ +c³(a - b)³

Eqation for 7x+5y=46

If you have 50 chocolates and you distributed 1/12th of chocolates among your friends then number of chocolates remaining with you is?

Find square root of 5 correct to 3 decimal places

Plot the line graph for this data. Which of the following statement is true?

Sarah brought a new car in 2001 for ₹8,00,000. The value of her car changed each year as shown in the table below.
$\begin{array}{cc}\left(ValuesofSara{h}^{\prime }scar\right)& \\ \text{Year}& \text{Value}\\ 2001& ₹8,00,000\\ 2002& ₹7,50,000\\ 2003& ₹6,60,000\\ 2004& ₹5,80,000\\ 2005& ₹4,80,000\\ 2006& ₹3,30,000\\ 2007& ₹1,90,000\end{array}$

Prove that a parallelogram inscribed in a circle is a rectangle. [2 MARKS]

To construct a rectangle ABCD given AC=6cm and angle between diagonals is ${30}^{\circ }$, which of the following properties of rectangles do we use?

$(a+b{)}^2-(a-b{)}^2$ is always divisible by

The least square number which is divisible by each one of 8, 9, and 10 is

Number of faces in the following shape is:

A = set of all triangles
B = set of all right triangles
A - B=?

Find the value of A and B in the following.

$3A+25\underset{–}{}B2\underset{–}{}$

$(2a+3b{)}^2=$

Which of the following is/are the irreducible factor(s) of $3m^2+9m+6?$

Draw a histogram table for the following data: [4 MARKS]

$\begin{array}{ccccc}\text{Class interval}& 1-10& 11-20& 21-30& 31-40\\ \text{Frequency}& 7& 12& 15& 13\end{array}$

The adjacent angles of a rhombus add up to:

Mohan bought a certain number of note-books for Rs. 600. He sold $\frac{1}{4}$ of them at 5 percent loss. At what price should he sell the remaining note-books so as to gain 10% on the whole ?

The solution of 2 - x < 5 is

Estimated value of the square root of 10 to the nearest whole number is

What is the rate per cent if ₹ 1600 amounts to ₹ 1900 in 2.5 years?