Explore topic-wise InterviewSolutions in Current Affairs.

Solve for x and y:
$\left[\begin{array}{cc}-2& 0\\ 3& 1\end{array}\right]\left[\begin{array}{c}-1\\ 2x\end{array}\right]+3\left[\begin{array}{c}-2\\ 1\end{array}\right]=2\left[\begin{array}{c}y\\ 3\end{array}\right]$

A bag contains red, blue and green balls. It is twice as likely to pick a blue ball as compared to a red ball, and it is thrice as likely to pick a green ball as compared to a red ball. What is the probability of picking a green ball?

If $(a+b{)}^2=a^2+2ab+b^2$ then what is the value of $a^2+b^2$

Question 58

Solve the following:

8x-7-3x=6x-2x-3

If a, b, c are $p^{th}$, $q^{th}$, and $r^{th}$ terms of a G.P., then $\left(\frac{c}{b}{)}^p\right(\frac{b}{a}{)}^r(\frac{a}{c}{)}^q$ is equal to

Consider two triangular parks ABC and EFG such that a path from one corner of the park bisects the other side of the park as shown in the figure. If the dimensions of the park ABC are AB = 4 m, BC = 6 m and AC = 3 m and that of park EFG are EF = 2 m, EG = 3 m and FG = 1.5 m.

Which of the following statements are true?

The ordinate of a point is twice its abscissa and the point lies on the line 7x - 3y = 8. What are the coordinates of the point?

Which of the following statements is/are correct for the equation $2x-3y+5=0$

1. Slope of the straight line is $\frac{2}{3}$

2. x-intercept of the straight line is $\frac{-5}{2}$

3. y-intercept of the straight line is $\frac{5}{3}$

In an equilateral triangle PQR, if p, q and r denote the lengths perpendiculars from P, Q, R respectively on the opposite sides, then

The point W divides the line XY in the ratio m:n. Then, the ratio of lengths of the line segments XY:WX is:

Point Transformation Image

(6,10) ____ (6,-10)

A sequence starts from $\frac{1}{2}$ and $\frac{3}{4}$ is added to every term. Find the sequence.

The HCF and LCM of $x^3{y}^3$, $x^3{y}^6$, $x^5{y}^2$ is _____.

An observer, $2m$ tall is $10\sqrt{3}m$ away from a tower. The angle of elevation from his eye to the top of the tower is ${30}^{\circ }$. What is the height of the tower?

Twelve solid spheres of the same size are made by meltingvca solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere is

(a) 2 cm (b) 3 cm (c) 4 cm (d) 6 cm

Solve for x and y:

$a^{2}x+b^{2}y=c^2,b^{2}x+a^{2}y=d^2.$

A company manufactures cassettes. Its cost and revenue functions are C(x) = 26,000 + 30x and R(x) = 43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realize some profit?

A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:

In a class test, marks obtained by 120 students are given in the following frequency distribution. If it is given that mean is 59, find the missing frequencies x and y.

If tan $\theta$ =$\frac{8}{15}$ then cosec $\theta$ = ?

(a) $\frac{17}{8}$ (b) $\frac{8}{17}$ (c) $\frac{17}{15}$ (d) $\frac{15}{17}$

The cost of pen is Rs 2x+3 .the cost of pencil is Rs y-3 .find the cost of 5 pens and 3 pencils together

Solve each of the following given systems of equations graphically and find the vertices and area of the triangle formed by these lines and the x-axis:

x-y+3=0,2x+3y-4=0.

Verify that the numbers given along side of the cubic polynomials below are their zeros. Also, verify the relationship between the zeros and coefficients in in each case:

(i) $f\left(x\right)=2x^3+x^2-5x+2;\frac{1}{2},1,-2$

(ii) $g\left(x\right)=x^3-4x^2+5x-2;2,1,1$

1. 512

A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.

Solve for x and y:

$0.3x+0.5y=0.5,0.5x+0.7y=\mathrm{0.74.}$

If 3 is a zero of the polynomial $2x^2+x+k$, find the value of k.

Match the lines given on the left side with their corresponding slopes on the right..
$\begin{array}{cc}Linepassesthroughthepoints& Slopeoftheline\\ p.\left)\right(1,6\left)and\right(-4,2)& 1.)0\\ q.\left)\right(5,9\left)and\right(2,9)& 2.)-3\\ r.\left)\right(-2,-1\left)and\right(-3,2)& 3.)\frac{4}{5}\\ s.\left)\right(4,0\left)and\right(3,3)& 4.)\frac{5}{3}\end{array}$

Which of the following represent the solution of the given inequality?

$x^2+2x+5\ge 0\forall x\in R$

HCF of two numbers is $1$ and LCM is $221$. If one of the two numbers is $17$, find the other.

To construct the tangents from a point to a circle (where O is the centre of the circle and P is the point from which tangents are drawn.), following are the steps of construction in the first list named as “Steps” and the reasons behind those construction in the next list named “Reasons”. Match them accordingly.
STEPS:
i) Join OP.
ii) Bisect the segment OP, at L.
iii) Draw a circle with centre as L and radius LO.
iv) From P, join wherever this circle intersects the original circle.
REASONS:
a) Because angle in a semicircle is ${90}^{\circ }$ and radius is perpendicular to tangent.
b) We get the point(s) of contact, if they exist.
c) To check where the point P lies and hence determining if tangents exist or not.
d) We need to draw a circle with diameter as the distance between the centre of the circle and the point from where tangents should be drawn.

If the circumference of a circle increases from 2 πto 4π then its area is

If one zero of the polynomial x² + kx + 18 is double the other zero then k =?

Two dice are thrown at the same time. Find the probability of getting different values on both.

Find the median of the following data.
2, 5, 4, 6, 11, 10, 8

$1+3^1+3^2+3^3..........+3^{2999}$ =

The diameter of the base of a right circular cone is 42 cm and its height is 20 cm. Find the curved surface area of the cone.

If $x^2\ge 0$ which of the following may be true for x?

Question 4 (iii)
Which of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically:
2x + y - 6 = 0, 4x - 2y - 4 = 0

Solve the following:
(a) Express x in terms of y for the equation 7x + 5y = 35 and find the X-intercept.
(b) Find the intercepts of the line whose equation is x + y = 4 [3 MARKS]