Explore topic-wise InterviewSolutions in .

If the length of a chord of a circle is 16 cm and is at a distance of 15 cm from the centre of the circle, then the radius of the circle (in cm) is :

The ______ is always one of the numbers of the given data.

The side of a square with perimeter 70 m is:

1. 3

There is a $\frac{3}{5}$ chance of rain today. What are the odds against it raining today?

Choose the correct answer from the given alternative:

Sum of the three exterior angles of a triangle is _____________.

A. two right angles

B. three right angles

C. one right angle

D. four right angles

The pie chart (as shown in the ffigure) represents the amount spent on diffderent sports by a sports club in a year. If the total money spent by the club on sports is Rs 1,08,000, find the amount spent on each sport.

1. 35

Among the given rational numbers, find the second largest number.

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->

$\frac{-4}{3}$,
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->

$\frac{-7}{8}$,
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->

$\frac{-9}{12}$,
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->

$\frac{-19}{24}$

Is it possible to construct a square if only one of its diagonals is given?

1. 90

A triangle with two angle each of 90^o and 60^o, has its third angle _______ .

Question 92 (xix)

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

$x^4-1$

Question 57

State whether the following statement is true or false:

The area of a trapezium becomes 4 times if its height gets doubled.

Given that $(p+3)$ is the highest common factor of 81 and 108, find the value of $p$.

Question 2(a)

Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of:

The number of students liking football to the number of students liking tennis.

Question 12

An observation, occurring five times in a data is recorded as | | | | | using tally marks.

The angles of triangle are arranged in ascending order of magnitude. If the difference between two consecutive angles is 15°, find the three angles.

Construct an equilateral triangle of side 4.8 cm.

Find $(3^3-2^3)+(5^3-4^3)+(7^3-6^3)+....$ to 10 terms.

Or

Show that $\frac{1\times 2^2+2\times 3^2+....+n\times (n+1{)}^2}{1^2\times 2+2^2\times 3+....+n^2\times (n+1)}=\frac{3n+5}{3n+1}$

Question 2 (vii)

Write the coordinates of the point L.

Question 71

State whether the following statement is true or false:

If $a^2$ ends in 9, then $a^3$ ends in 7.

Find value of $x$ in the given pair of equations.

$\frac{1}{x}+\frac{1}{y}=4$

$\frac{1}{x}-\frac{1}{y}=2$

Evaluate: $\left(\frac{-24}{25}{x}^{3}z\right)\times (-\frac{15}{16}x{z}^{2}y)$

A number decreased by 23% becomes 539. Find the number.

In factor theorem how to take a common number in the question

x square+ 5x + 6

Group the like terms from the following algebraic terms:



$20y,20a^2,15q,-25s,25a,12z,y$

Let n be a natural number. The number of n's for which (n⁴ + 2n³ + 2n² + 2n + 1) is a perfect square is

Which of these numbers is divisible by 6?

A sells radio to B at a loss of 20%, B sells it to C at a loss of 30% and C sells it to D at a loss of 10%. If A pays ₹ 2000, then the Cost Price for D is :

Question 1(ii)

State whether the number given below is a perfect cube or not:

128

Prepare the suitable accounts and find out the missing figure if any:

$\begin{array}{cc}& \text{Rs.}\\ \text{Opening balance of debtors}& 14,00,000\\ \text{Opening balance of bills receivable}& 7,00,000\\ \text{Closing blaance of bills receivable}& 3,50,000\\ \text{Cheque dishonoured}& 27,000\\ \text{Cash received from debtors}& 10,75,000\\ \text{Cheque received and deposited in the banks}& 8,25,000\\ \text{Discount allowed}& 37,500\\ \text{Irrecoverable amount}& 17,500\\ \text{Return Inwards}& 28,000\\ \text{Bills receivable received from customers}& 1,05,000\\ \text{Bills receivable matured}& 2,80,000\\ \text{Bills discounted}& 65,000\\ \text{Bills endorsed to creditors}& 70,000\end{array}$

Solve the following equation :

15 + x = 5x + 3

There are 2 cubes A and B each of volume X $c{m}^3$. Cube B is cut into smaller cubes each of volume Y $c{m}^3$. The surface area and volumes of the resulting cubes are compared.

S1: The ratio of volumes of A and B = 1:1

S2 : The ratio of surface areas of A and B = 1:1