Explore topic-wise InterviewSolutions in Current Affairs.

The present age of a man is twice that of his son. Eight years hence, their ages will be in the ratio 7 : 4. Find their present ages.

The heights (in cm) of 30 students of class VIII are given below:

155, 158, 154, 158, 160, 148, 149, 150, 153, 159, 161, 148, 157, 153, 157, 162, 159, 151, 154, 156, 152, 156, 160, 152, 147, 155, 163, 155, 157, 153.

Prepare a frequency distribution table with 160-164 as one of the class intervals.

Find the value of x for which $5^{2x}÷5^{-3}=5^5$.

The length of a metallic tube is 1 metre, its thickness is 1 cm and its inner diameter Is 12 cm. Find the weight of the tube if the density of the metal is 7.7 grams per cubic centimetre.

Percentage of the different products of a village in a particular district are given below. Draw a pie-chart representing this information.
$\begin{array}{ccccccc}\text{Items}& \text{Wheat}& \text{Pulses}& \text{Jwar}& \text{Grounnuts}& \text{Vegetables}& \text{Total}\\ \%& \frac{125}{3}& \frac{125}{6}& \frac{25}{2}& \frac{50}{3}& \frac{25}{3}& 100\end{array}$

Question 85 (xv)

Expand the following, using suitable identities.

$(0.9p-0.5q{)}^2$

1. 3

Factorise :

$16p^3-4p$

Two adjacent angles of a parallelogram are $(3x-4{)}^{\circ }and(3x+16{)}^{\circ }$. Find the value of x and hence find the measure of each of its angles.

$\text{Tick the correct answer in each of the following}\text{A die is thrown. What is the probability of getting 6 ?}\left(a\right)1\left(b\right)\frac{1}{6}\left(c\right)\frac{6}{1}\left(d\right)\text{none of these}$

Draw a pie - diagram representing the relative frequencies (expressed as percentage) of the eight classes as given below:

12.6, 18.2, 17.5, 20.3, 2.8, 4.2, 9.8, 14.7

The point (7,3) falls on which of the following lines?

Draw a histogram of the following data:

$\begin{array}{ccccccc}\text{Class interval}:& 10-15& 15-20& 20-25& 25-30& 30-35& 35-40\\ \text{Frequency}:& 30& 98& 80& 58& 29& 50\end{array}$
Draw a histogram representing the above data.

Find the volume of a cube whose surface area is $384m^2.$

Find the M.P if

(i) S.P = Rs. 1222 and Discount $=6\%$

(ii) S.P = Rs. 495 and Discount $=1\%$

Question 163(iv)

Supply the missing information for each diagram.

The front wheels of a wagon are 2 π metre in circumference and the back wheels are 3π metre in circumference. When the front wheels have made 10 more revolutions than the back wheels, how many metres has the wagon travelled?

Where would the number $\sqrt{5}$ lie on the number line?

45 is what % of 54

Find the value of x in the equation $\frac{x}{x-a}+\frac{x}{x-b}=2$.

On factorisation using a^2-b^2=(a+b)(a-b)

(1-a^2)(1-b^2)+4ab

In a parallelogram, if a diagonal bisects the angles through which it passes, then the parallelogram is a ___

Find the component statements of the following compound statements and check whether they are true or false.

(i) Number 3 is prime or it is odd.

(ii) All integers are positive or negative.

(iii) 100 is divisible by 3, 11, and 5.

______ is the only rational number which does not have a reciprocal.

$1200$ soldiers in a fort had enough food for $28$ days . After $4$ days , some soldiers were transferred to another fort and thus the food lasted now for $32$ days more . How many soldiers were left in the fort?

0.00000000837 is expressed in its standard form as $x.37\times {10}^y$, where x and y are integers. Express the number $y\times {10}^x$ in its normal form.

Match the two columns
$\begin{array}{cc}Column-I& Column-II\\ \text{(A) The area of a triangle with base 4cm and height 6cm is}& \left(p\right)\frac{5}{4}\sqrt{11}c{m}^2\\ \text{(B) If the perimeter of the isosceles triangle is 11cm and the}& \left(q\right)16\sqrt{3}c{m}^2\\ \text{Base is 5cm then the area of the isosceles triangle is}& \\ \text{(C) The area of the equilateral triangle, whose each side is}& \left(r\right)12c{m}^2\\ 8cm,is& \\ \text{(D) Area of an equilateral triangle with side a units}& \left(s\right)\frac{\sqrt{3}}{4}{a}^{2}sq.unit\end{array}$
Choose the correct option:

1. 5

The area of the given quadrilateral ABDC is 10 cm². If AP = 2.2 cm, DQ = 1.8 cm, then the area of BDC is ______ .

If $x+\frac{1}{x}=7$ then find the value of $x^3+\frac{1}{x^3}$

23% of 300 is -

Factorise:
$6xy(a^2+b^2)+8yz(a^2+b^2)-10xz(a^2+b^2)$

The sum of two numbers is 405 and their ratio is 8 : 7. Find the numbers.

I have many tiny cups which will hold 3 marbles each. Ram has 512 marbles and Shyam has 675 marbles. Who can put all his marbles into the cups such that all the cups he uses are full and none of his marbles are left out?

If $x$ and $y$ are inversely related and
$x\times y=36$, then match the correct pairs.

If the given figure shows parallelogram ABCD. Points P and Q trisect the side AB, then ____.

The longest chord of a circle is called its ________.

Is it true that for any sets A and B, $P\left(A\right)\cup P\left(B\right)=P(A\cup B)$? Justify your answer.