Explore topic-wise InterviewSolutions in Current Affairs.

If the mean of the following distribution is 6, find the value of 'P'.

AB is the diameter of the circle with centre O. P is a point on the circle such that $PA=2PB.$ If $AB=d,$ find BP.

A vertical pole & a vertical tower are on the same level ground. From the top of the pole the angle of elevation of the top of the tower is 60^o & the angle of depression of the foot of the tower is 30^o. Find the height of the tower if the height of the pole is 20 m.

The points A(2, 3), B(4 , 5) & C(7, 2) are the vertices of ∆ ABC.

∆A”B”C” is the image of ∆ ABC, when reflected in – axis.

Mention the special name of quadrilateral BCC”B” & find its area.

( – 2) is a factor of the expression ³ + ² + + 6. When this expression is divided by ( – 3) it leaves the remainder 3. Find the values of & .

Which of the following numbers has a non- terminating, repeating decimal representation?

Solve the following pairs of linear (simultaneous) equations using method of elimination by substitution:

$1.5x+0.1y=6.2$

$3x-0.4y=11.2$

In each of the given pairs of triangles, find which pair of triangles are similar. State the similarity criterion and write the similarity relation in symbolic form.

(i)

(ii)

(iii)

(iv)

(v)

If the length of the shadow of a tower is $\sqrt{3}$ times its height then the angle of elevation of the sun is

(a) ${45}^{\circ }$

(b) ${30}^{\circ }$

(c) ${60}^{\circ }$

(d) ${90}^{\circ }$

tan ${10}^o$ tan ${15}^o$ tan ${75}^o$ tan ${80}^o$ = ?

(a) $\sqrt{3}$ (b) $\frac{1}{\sqrt{3}}$ (c) -1 (d) 1

PQRS is a diameter of a circle of radius 6 cm. The lengths PQ, QR and RS are equal. Semicircles are drawn with PQ and QS as diameters, as shown in the given figure. If PS = 12 cm, find the perimeter and area of the shaded region. [ Take $\pi$ = 3.14]

What is the sum to n terms of the following series: 2,4,6,8,…, ( $n^{th}$ term)?

Use graph paper for this question.Take 2 cm = 1 unit on both the axes.

(i) Plot the points A(1,1) , B(5,3) and C(2,7).

(ii) Construct the locus of points equidistant from A and B.

(iii) Construct the locus of points equidistant from AB and AC.

(iv) Locate the point P such that PA=PB and P is equidistant from AB and AC.

(v) Measure and record the length PA in cm.

The lines represented by 4x + 3y = 9 and px - 6y + 3 = 0 are parallel. Find the value of p.

Find two consecutive positive integers such that the sum of their squares is 365.

Consider the following distribution of the number of mangoes being packed in cardboard boxes where these boxes contain varying number of mangoes. Find the mean number of mangoes kept in a packing box using assumed mean method?

$$\begin{array}{cccccc}Numberofmangoes& 50-52& 53-55& 56-58& 59-61& 62-64\\ Numberofboxes& 15& 110& 135& 115& 25\end{array}$$

A bag contains 24 red and white balls. If the probability of drawing a red ball is twice that of drawing a white, how many white balls are there?

Select the statements that are true.

pr.route sec^2theta+cosec^2theta=tantheta+cot theta

If the points A(7,-2), B(5,1) and C(3,k) are collinear, then the value of K is:

Solve the equation $\frac{4}{x}-3=\frac{5}{2x+3};x\ne 0,-\frac{3}{2}$ for x.

If alpha and beta are the zeroes of polynomial=x^2-2x+3.find the Value of[ 1÷(2alpha+beta)]+[1÷(2beta+alpha)].

Divide ₹ 40,608 such that if one part is invested in 8%. ₹ 100 shares at 8% discount and the second part is invested in 9% % , ₹ 100 shares at 8 % premium , then the annual income from both the investments are equal.

If $A=\left[\begin{array}{cc}1& 1\\ 2& 33\end{array}\right]$and 2A – B =0, find B.

In a G.P., $T_2$ + $T_5$ = 216 and $T_4$ :$T_6$ = 1:4 and all terms are integers, then its first term is:

Find the value of P for which the lines 2x + 3y -7 = 0 and 4y - px - 12 = 0 are perpendicular to each other.

Give the range of values of $x$ where it satisfies both the given inequation
$2x<14$ and $3x+1>16$ where $xϵN$

Which of the following statements can be represented as a general form of inequation?

$\frac{1}{1+cosA}-\frac{1}{1-cosA}=2cose{c}^{2}A$

The probability that a non-leap year selected at random will have 53 Mondays is

The surface area of a solid metallic sphere is 1256 cm. sq. It is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate the number of cones recast. (take π = 3.14)

Given that hcf (252,594)=18 find lcm (252,594)

(-5, 2), (3, -6) and (7, 4) are the vertices of a triangle. Find the length of its median through the vertex (3, -6).

If the rate of flow of water from a pipe is $2m^3{s}^{-1}$, then how much time will it take to fill a bucket whose volume is $1200m^3$?

The polynomial equations $P_1$(x) = $x^3+x^2+x+1$ and $P_2$(x) = $x^2-1$ have how many factors in common?

Find the ${20}^{th}$ term of the AP 2, 5, 8, 11, 14 ,...

If A and B are symmetric matrices of the same order, then A - B will be

Solve: $\frac{3}{x+y}+\frac{2}{x-y}and\frac{9}{x+y}-\frac{4}{x-y}=1$

$Thetablebelowshowsthenumberofchildrenwithdifferentheights.$$$\begin{array}{ccccc}Height& 110cm& 120cm& 130cm& 140cm\\ No.ofchildren& \text{22}& \text{25}& \text{21}& \text{32}\end{array}$$

The percentage of students whose height is more than 125 cm is ___.

Write down the decimal expansions of : $\frac{13}{1325}$