Explore topic-wise InterviewSolutions in Current Affairs.

Fill in the blanks :
(i) Lower class limit of 15-18 is ___ .
(ii) Upper class limit of 24-30 is ___.
(iii) Upper limit of 5-12.5 is ___.
(iv) If the upper and the lower limits of a class interval are 16 and 10; the class interval is ___.
(v) If the lower and the upper limits of a class interval are 7.5 and 12.5; the class interval is ___.

A rectangular sheet of paper $30cm\times 18cm$ can be transformed into the curved surface of a right circular cylinder in two ways i.e., either by rolling the paper along its length or by rolling it along its breadth. Find the ratio of the volumes of the two cylinders thus formed.

1)A polygon has 27 diagonals. How many sides does it have?

Pipes A and B can fill an empty tank in $10$ hours and $15$ hours respectively. If both are opened together in the empty tank, how much time will they take to fill it completely?

The number of vertices on a pyramid with square base is

A student buys a pen for Rs. 90 and sells it for Rs. 100. Find his gain and gain percent.

Three numbers are to one another 2:3:4. The sum of their cubes is 33957. Find the numbers.

The product of two rational numbers is $\frac{-36}{49}$ . If one of the number is $\frac{-4}{7}$, find the other number

Question 140(i)

Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression $3^{-t}$
What frcation of the substance remains after 7 half-lives?

The sum of the cubes of two numbers is 35. The numbers are in the ratio of 2:3. Find the numbers. [3 MARKS]

Question 1 (d)
Which congruence criterion do you use in the following?
Given: EB = BD, AE = CB, $\angle A=\angle C={90}^{\circ }$

Question 22

In the given figure,$\angle ROS$ is a right angle and $\angle POR$ and $\angle QOS$ are in the ratio 1:5. Then, $\angle QOS$ measures

(a) ${150}^{\circ }$
(b) ${75}^{\circ }$
(c) ${45}^{\circ }$
(d) ${60}^{\circ }$

Question 69

Find $m$, so that ${\left(\frac{2}{9}\right)}^3\times {\left(\frac{2}{9}\right)}^6={\left(\frac{2}{9}\right)}^{2m-1}$

Question 82 (vi)

Subtract

7p(3q + 7p) from 8p(2p - 7q)

Why should power of variable and the variable itself should be a whole number not a natural number.

Factorise:

$a^3-27$

Ankit was given an increment of 10% on his salary. His new salary is Rs.3575. What was his salary before increment?

Find each of the following products:

$(x^4+\frac{1}{x^4})\times (x+\frac{1}{x})$

The electricity bills (in rupees) of 25 houses of a cetrain locality for a month are given below :

324, 700, 617, 400, 356, 365, 435, 506, 548, 736, 780, 378, 570, 685, 312, 630, 584, 674, 754, 776, 596, 745, 565, 763, 472.

Arrange the above data in increasing order and form a frequency table using equal class intervals, starting from 300 - 400, where 400 is not included.

Draw a trapezium ABCD in which AB || DC, AB = 7 cm, BC = 5 cm, AD = 6.5 cm and $\angle B={60}^{\circ }$

Question 133

Solve the following question:

Find the square root of 324 by the method of repeated subtraction.

The value of $12\frac{1}{2}\times 8\frac{1}{3}$ calculated using binomial multiplication is

If the ordinate is twice the abscissa, then find the point where
$7x-3y=8.$

A sum amounts to Rs. 756.25 at $10\%$ per annum in 2 years, compounded annually. Find the sum.

Complete each of the following, so as to make a true statement:
(i) A quadrilateral has ______sides.
(ii) A quadrilateral has ______angles.
(iii) A quadrilateral has ______vertices, no three of which are ______
(iv) A quadrilateral has ______diagonals.
(v) The number of pairs of adjacent angles of a quadrilateral is ______
(vi) The number of pairs of opposite angles of a quadrilateral is ______
(vii) The sum of the angles of a quadilateral is ______
(viii) A diagonal of a quadrilateral is a line segment that joins two ______vertices of the quadrilateral.
(ix) The sum of the angles of a quadrilateral is ______ right angles. (x) The measure of each angle of a convex quadrilateral is ______ $180\circ$.
(xi) In a quadrilateral the point of intersection of the diagonals lies in ______ of the quadrilateral.
(xii) A point is in the interior of a convex quadrilateral, if it is in the ______ of its two opposite angles.
(xiii) A quadrilateral is convex if for each side, the remaining ______ lie on the same side of the line containing the side.

Find the value of $(7+\sqrt{7})(7-\sqrt{7})$. Is it rational? [4 MARKS]

A can do a piece of work in 15 days. 13 is 50% more efficient than A. B can finish it in

(a) 10 days

(b) $7\frac{1}{2}$ days

(c) 12 days

(d) $10\frac{1}{2}$days

Construct a rhombus ABCD with AB = 4.5 cm and AC = 6 cm. [4 MARKS]

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.

$y^2=12x$

Which of the following solids can be formed using the given net?

Find the area of a flat circular ring formed by two concentric circles (circles with same centre) whose radii are 9 cm and 5 cm.

A man invests ₹ 5000 at a certain rate of interest, compounded annually. At the end of one year, it amounts to ₹ 5600. The rate of interest per annum is

Find $\sqrt[3]{3\frac{7290\times 20\times 5}{343\times 216}}$

Question 1(v)
Carry out the multiplication of the expressions in each of the following pairs:
pq+qr+rp,0