Explore topic-wise InterviewSolutions in Current Affairs.

A tank with length, breadth and height of $5,6$ and $3$ units respectively is open from the top. The cost of anti-microbial coating inside the tank at ₹ 10 per sq. unit is ______.

A right cylindrical shaped oil tank of height 40 m is completely filled in 20 minutes. If oil filled at a rate of 8$\pi$ cubic meter per minute, then find the radius of the tank.

Given are the steps of construction for constructing a triangle ABC whose base length is given say BC, one of the base angles is given, say $\angle$ B and the difference between the other two sides is also given (AB – AC) considering AB $>$ AC.

Pinku was asked to give the steps of construction for the same. He had mugged up all the steps of construction but forgot one point in between. Following are those steps of construction, let’s see if you can help Pinku with the missing step.

Steps of construction:

Draw the base BC and at point B make an angle say XBC equal to the given angle. Cut the line segment BD equal to (AB – AC) from ray BX. Let it intersect BX at a point A. Join AC

Which of the following do you think is the missing step of this construction?

In a $\Delta$ ABC, BD is the median to the side AC, BD is produced to E such that BD = DE.

Prove that : AE is parallel to BC.

Question 78

Divide $\frac{3}{10}$ by $\left(\frac{1}{4}of\frac{3}{5}\right)$

Make a bar graph

$\begin{array}{cc}Weight\left(kg\right)& NumberOfStudents\\ 35.5-40.5& 5\\ 40.5-45.5& 2\\ 45.5-50.5& 12\\ 50.5-55.5& 2\\ 55.5-60.5& 45\end{array}$
[3 MARKS]

If 35 is the upper limit of a class interval of class size 10, then the lower limit of the class interval is _____

The square of a number, when decreased by 15, is twice the original number. What is the original number?

Factorise 3x² – 5x + 2

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD. The value of $\frac{AD}{AE}$ is equal to ______.

If $x=\sqrt{6}+\sqrt{5}$ then $(x-\frac{1}{x}{)}^2$ = _______________.

Which is the correct order for a given number $\alpha$ in increasing order?

The population of a city continuously grows at a rate of 8% yearly. About how many years will it take for the population to triple?

The value of $\sqrt{5+2\sqrt{6}}$ is

Question 2 (vi)
Write the ordinate of the point H.

Find the solution for the pair of linear equations:
$2x+4y=12$
$4x+2y=18$

What is the value of $\frac{16\sqrt{13}}{9\sqrt{52}}$ ?

Represent 5.222222… in a rational form. [3 MARKS]

Question 107

Fill in the blank to make the statement true.
By reversing the order of digits of the greatest number made by five different non-zero digits, the new number is the .............. number of the given five digits.

The Cartesian equation of the curve whose parametric equations are $x=t^2+2t+3$ and y = t + 1 is

Assertion: Median of the given data $34,31,42,43,46,25,39,45,32$, is $39$.
Reason: When the number of observations $\left(n\right)$ is even, the median is the mean of the ${\left(\frac{n}{2}\right)}^{th}$ and ${(\frac{n}{2}+1)}^{th}$ observations.
Which of the following is correct?

In $△$PQR, PQ = 12 cm and PR = 13 cm. $\angle Q={90}^{\circ }$. Find tan P - cot R

In a single throw of dice,what is the probability of getting a sum of 9?

The ratio between the curved surface area and the total surface area of a right circular cone is 1:2 . Find the ratio between the height and radius

Four defenders are standing in the coordinates A(-2,5), B(4,5), C(2,1) and D(-4,1). To stop a striker B and D move two units to the left and right respectively, then what shape does the final position of the four defenders make?

__

While constructing a triangle, we need to consider sum of angles in a triangle as?

How much distance a car covers when it moves 20 km east and then 60 km west?

A line y = mx passes through the origin

In the adjoining figure,ABCD is a quadrilateral in which diag.BD=14 cm.If $AL\perp BD$ and $CM\perp BD$ such that AL=8 cm and CM=6 cm,find the area of quad.ABCD.

If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.

In the following equations, find which variables x, y, z etc, represent rational or irrational numbers :

(i) $x^2$ = 5 (ii) $y^2$= 9

(iii) $z^2$ = 0.04 (iv) $u^2=\frac{17}{4}$

(v) $v^2$ = 3 (vi) $w^2$= 27

(vii) $t^2=0.4$

Use factor theorem to prove that (x +a)is a factor of $(x^n+a^n)$ for any odd positive integer n.

Two coins are tossed 400 times and we get

two heads:112 limes; one head: 160 times; 0 head: 128 limes.

When two coins are tossed at random, what is the prohability of getting

(i) 2 heads? (ii) 1 head? (iii) 0 head?

In the adjoining figure, AB and AC are two equal chords of a circle with centre O. Show that O lies on the bisector of $\angle$BAC.

AB and CD are two equal chords of a circle with centre O such that $\angle AOB={80}^{\circ }$. Then, $\angle COD$ = ?

(a) ${100}^{\circ }$

(b) ${80}^{\circ }$

(c) ${120}^{\circ }$

(d) ${40}^{\circ }$

In the figure, rays OA, OB, OC, OD and OE have the common end point O. Show that $\angle AOB+\angle BOC+\angle COD+\angle DOE+\angle EOA={360}^{\circ }$.

In the given figure, three circles with centres A, B, C respectively touch each other externally. If AB = 5 cm, BC = 7 cm and CA = 6 cm then the radius of the circle with centre A is

(a) 1.5 cm (b) 2 cm

(c) 2.5 cm (d) 3 cm

An iron tank with an open top is cylindrical in shape. It has a height of $10m$ and radius $7m.$ It gets corroded at a rate of $3m^2/day.$ The number of days in which it gets completely corroded is [Take $\pi =\frac{22}{7}$]

The side BC of $\Delta ABC$ is produced to a point D. The bisectors of $\angle A$ meet side BC in L. If $ABC={30}^{\circ }$ and $\angle ACD={115}^{\circ }$,

then $\angle ALC$=

$Thetotalsurfaceareaofaconeofradius\frac{r}{2}andlength2l,is$

Solve the following systems of equations:

$\frac{7x-2y}{xy}=5$

$\frac{8x+7y}{xy}=15$