Explore topic-wise InterviewSolutions in Current Affairs.

Represent 0.123333… in a rational form. [3 MARKS]

Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fishes and 8 female fishes (see figure). What is the probability that the fish taken out is a male fish?

If 9 and -5 are zeroes of the polynomial $x^2+(a+5)x-b$, then find the value of a and b. [2 MARKS]

Construct Rhombus $BEND$ with $BN=5.6cm$, $DE=6.5cm$.

Refer the figure below and answer the questions that follow. In the figure, line l is parallel to line m.

Which of the pairs of angles are not supplementary?

Heron's formula for calculating area of triangle is given by ______.

In the given figure, PQRS is a rectangle of area $35c{m}^2$. Find the area of $\Delta EFT.$

Assertion: The measure of $\angle AOC={60}^{\circ }$

Reason: Angle subtended by an arc of a circle at the center of the circle is double the angle subtended by the arc on the circumference.

Which of the following is correct?

Solve the pair of linear equations using cross-multiplication method.

$\frac{5}{(x-2)}=\frac{4}{(1-y)}$

$26x+3y+4=0$

Question 36

If the thickness of a pile of 12 cardboard sheets is 45 mm, then the thickness of a pile of 240 sheets is___cm.

Mention the names of all the quadrilaterals which have all 4 sides equal. [1 MARK]

In the given figure, ABCD is parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 6 cm, AE = 8cm and CF = 12 cm, find AD.
[2 MARKS]

31.764 $÷$ 4 is a :

Joe and John are holding the ends of an elastic thread at a point O. Joe starts moving towards the east at a speed of 8 ${ms}^{-1}$​ and John, towards North at a speed of 15 ${ms}^{-1}$​. If the maximum length the elastic could attain was 170m, how long could they move till the elastic breaks (in seconds)? Both started moving at the same time.

Find the mode of the given data: 7, 9, 11, 13, 9 13, 9, 9, 7, 8.

Factorise each of the following:
(i) $27y^3+125z^3$
(ii) $64m^3-343n^3$

Match the two columns
$\begin{array}{cc}Column-I& Column-II\\ \text{(A) The class mark of the class interval}& \text{(p) 13}\\ 145-150is& \\ \text{(B) In a frequency distribution, the mid – value of a}& \text{(q) 110}\\ \text{class is 10 and width of each class is 6. The upper}& \\ \text{limit of the class is}& \\ \text{(C) The mean of eight numbers is 40. If one}& \text{(r) 22.5 – 27.5}\\ \text{number is excluded, their mean becomes 30.}& \\ \text{The excluded number is}& \\ \text{(D) The class marks of a frequency distribution are}& \left(s\right)147.5\\ 15,20,25,30,\dots \dots \text{The class corresponding to the class}& \\ \text{mark 25 is}& \end{array}$
Choose the correct option:

A straight line in a graphical representation passes through two points A and B, whose coordinates(x,y) are A(2.4) and B(3,-1). The slope of the straight line is:

$\text{If}{x}^{140}+2x^{151}+k\text{is divisible by}x+1,\text{then the value of ‘k’ is:}$

In the given figure, AP $\parallel$ BQ $\parallel$ CR. Prove that ar ($△$AQC) = ar ($△$PBR).
[2 MARKS]

If sin[90 - (A+B)] = cosx = cosy

find the value of x and y; if y is the angle C of triangle ABC. (In triangle ABC, A+B=${90}^{\circ }$)

standard form of polynomial (a³-3/8)(a³+16/17)

The area of the quadrilateral shown below is $6+\frac{k}{4}\sqrt{3}$. Given that the line joining the midpoints of the AE and EC is parallel to AC and measures $\left(\frac{5}{2}\right)$ and $\angle ABC={90}^{\circ }$, find the value of k.

$\text{If HCF (1008, 20) = HCF (20, a)}\text{= HCF(a,b) where}1008=20\times q+a\text{and}20=a\times m+b.$

Here, q, a, m and b being positive integers satisfying Euclid’s division lemma. What could be the values of a and b?

A die was rolled 60 times and the result is as follows.

Find the probability of getting
(i)1
(ii) 5
(iii) an even number.

$\begin{array}{ccccccc}\text{Number}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 12& 14& 9& 15& 6& 4\end{array}$
[3 MARKS]

An angle is 14degree more than its complementary angle. What is it's measure?

The area of a right triangle is 30 sq cm. If the base is 5 cm , then the hypotenuse must be

In $\Delta RST$ (in the figure), what is the value of x?

In a parallelogram ABCD, P is a point in interior of parallelogram ABCD. If ar (||gm ABCD) = 18 cm² then [ar ∆APD) + ar(∆CPB)] is :

Factorise $x(x-y{)}^3+3x^{2}y(x-y)$

Question 5 (v)
An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:
$\begin{array}{ccccc}\text{Monthly income(in Rs)}& & & \text{Vehicles per family}& \\ & 0& 1& 2& \text{Above 2}\\ \text{Less than 7000}& 10& 160& 25& 0\\ 7000-10000& 0& 305& 27& 2\\ 10000-13000& 1& 535& 29& 1\\ 13000-16000& 2& 469& 59& 25\\ 16000\text{or more}& 1& 579& 82& 88\end{array}$
Suppose a family is chosen, find the probability that the family chosen is
(v) owning not more than 1 vehicle.

Find the area of the triangle shown in the figure given below.

A line that starts at one point and extends indefinitely in one direction is called a ___.

If 21 ab²c - 14 a²bc is factorised, we get

If I have $x$ chocolates, what will be twice the number of chocolates I have?

A cricket ball of radius $r$ fits exactly into a cylindrical tin as shown in the figure below. What will be the ratio between the surface areas of the cricket ball and the tin?