Explore topic-wise InterviewSolutions in Current Affairs.

Find the mode.

$\begin{array}{cc}Classinterval& Frequency\\ 100-110& 8\\ 110-120& 9\\ 120-130& 11\\ 130-140& 12\\ 140-150& 10\end{array}$ [2 MARKS]

Sujitha had made a square pyramid but one of the triangular faces went missing. Her friend said she will help her. What should be the slant height of the pyramid if it has a base of 16 cm and height 15 cm?

What is the value of cosecant of an angle of a right triangle?

In $\Delta ABC$, AB = AC. Side BC is produced to D. Prove that $(A{D}^2-A{C}^2)=BD.CD$.

If one of the zeroes of a quadratic polynomial $(k-1)x^2+kx+1$ is -3, then the value of k is .

If a circle is drawn with centre C(4,0) and radius 6 cm as shown in below figure then find the coordinates of A and B.

Three coins are tossed once. Find the probability of getting
(i) 3 heads (ii) 2 heads (iii) at least 2 heads (iv) at most 2 heads
(v) no head (vi) 3 tails
(vii) exactly 2 tails (viii) no tail
(ix) at most two tails.

Prove the following trigonometric identities:\

$\frac{1+cosA}{si{n}^{2}A}=\frac{1}{1-cosA}$

Prove the following trignometric identities:

$cosec\theta \sqrt{1-co{s}^2\theta }=1$

The perimeter of a circular field is 242 m. The area of the field is

(a) $9317m^2$ (b) $18634m^2$ (c) $4658.5m^2$ (d) none of these

A number x is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3, the probability that |x| < 2 is

Find the value of :
$\frac{1}{x+p}+\frac{1}{x+q}+\frac{1}{x+r}+\frac{px}{x^3+p{x}^2}+\frac{qx}{x^3+p{x}^2}+\frac{rx}{x^3+rx}$

1. 5

Find the value for k which each of the following systems of equations has a unique solution:

$kx+3y=(k-3),12x+ky=k.$

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:
$\frac{1}{x}-\frac{1}{x-2}=3,x\ne 0,2$

In the given figure, ΔABC is right- angled at C. Let BC = a, CA = b, AB = c and CD = p, where CD $\frac{1}{p^2}$ = $\frac{1}{a^2}$ + $\frac{1}{b^2}$

If $\Delta ABC\sim \Delta DEF$ such that AB = 1.2 cm and DE = 1.4 cm . Find the ratio of area of $\Delta ABC$ and $\Delta DEF$. [4 MARKS]

In an A. P., if $m^{th}$ is n and $n^{th}$ term is m, show that its $r^{th}$ term is (m +n -r).

If the equation ax^2+bx+c=0 is not altered when each of the coefficient is increased by the same quantity. Then x^2+x+2=

A car has two wipers which do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of ${120}^{\circ }$. Find the total area cleaned at each sweep of the blades. (use $\pi$ = $\frac{22}{7}$)

1. Ashok invested Rs.26400 on 12%, rs.25 shares of a company. If he receives a dividend of RS.2475, find the:

1. Number of shares he bought.

2. Market value of each share.

What will be the value of m and $c$ if the straight line $y=mx+c$ passes through the points $(3,-4)$ and $(-1,2)$?

If the probability of occurrence of an event is 0.9, then what is the probability of its non-occurrence?

State the locus of a point in a rhombus ABCD, which is equidistant

(i) from AB and AD;

(ii) from the vertices A and C.

1)the sum of 4th and 8th terms of an AP is 24 and the sum of 6th and 10th terms is 44.find first 3 terms.

What is the length of the third side in the above triangle?

What must be subtracted from each term of the ratio 9 : 17 to make it equal to 1 : 3?

Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square

ABC is a triangle and G(4,3) is the centroid of the triangle. If A = (1, 3), B = (4, b) and C = (a, 1). Then the length of side BC is:

Question 13

Consider the statement: Ratio of breadth and length of a hall is 2 : 5. Complete the following table that shows some possible breadths and lengths of the hall.

$$\begin{array}{cccc}Breadthofthehall\left(inmeters\right)& 10& \square & 40\\ Lengthofthehall\left(inmeters\right)& 25& 50& \square \end{array}$$

Find the area of the shaded portion in the figure if the diameter of the larger circle is 12 cm.

The reciprocal of an irrational number is :

Identify the ratio in which the line joining (4,5) and (-10,2) is cut by the Y - axis.

If $t\left(n\right)$ represents the $n^{th}$ term of an AP, then which of the following is always true?

Match the following:

$\begin{array}{cc}\text{i) horizontal}& \text{a) is the angle between line of sight and the horizontal}\\ \text{level}& \text{level when the object is above the horizontal line.}\\ \text{ii) line of sight}& \text{b) is the line running parallel to the plane on}\\ & \text{which the object is kept.}\\ \text{iii) angle of}& \text{c) is the line drawn from the eye of the observer to the}\\ \text{elevation}& \text{object viewed by the observer.}\\ \text{iv) angle of}& \text{d) is the angle between line of sight and the horizontal}\\ \text{depression}& \text{level when the object is below the horizontal line.}\end{array}$

Question 2

In the following question out of the four options only one is correct, write the correct answer:
(a) $x=\frac{a}{b}$
(b) $x=-b$
(c) $x=\frac{-b}{a}$
(d) $x=\frac{b}{a}$
The solution of the equation ax+b=0 is:

Record the following transactions in purchase return book

(i) 2 Banarsi sarees Rs 2,000 each and 2 Kanjivaram sarees Rs 12,500 each were bought from Neema Mills, trade discount on all items $20\%$. However, on delivary these sarees were found defective and were returned back with debit note no.03/2016.

(ii) Returned to Payal Mills ,Surat -5 polyster sarees Rs 200 each

Trade discount $10\%$ (Debit Note No.101)

(iii) Garg Mills, Kota accepted the returns of goods (which were purchased for cash) from us, 5 Kota sarees Rs 80. (Debit Note No.102)

(iv) Returned to Mittal Mills, Bangalore, 5 Silk sarees Rs 520 each

Trade discount $10\%$ (Debit Note No.103)

(v) Returned one typewriter (being defective) Rs 7,000 to Bansal & Co

Also prepare purchase return account and Neema Mills account.

If 7 $si{n}^2\theta +3co{s}^2\theta =4$, then $sec\theta +cosec\theta$ is equal to

Prove that in two concentric circles, the chord of the larger circle which touches the smaller circle, is bisected at the point of contact.

In the given Fig arcs have been drawn with radii 14 cm each and with centres P, Q and R. find the area of the shaded region if PQR is an equilateral triangle of side 35cm. [3 MARKS]

If ${\log }_{(x+3)}(x^2-x)<1$, then the value of x lies in

A fraction becomes 9/11 , 2 is added to both numerator and denominator. If 3 is added to both the numerator and denominator it becomes 5/6. Find the fraction