Explore topic-wise InterviewSolutions in Current Affairs.

The figure below is a histogram of the height of cherry trees. Find the correct statement(s) among the options.

If sec5A = cosec(A-30), then the value of A is ___.

Solve the following pair of linear equations by the substitution method.
0.2x + 0.3y = 1.3; 0.4x + 0.5y = 2.3

Abscissa of a point is positive in ___ and ___ quadrants.

$\frac{1}{2}$×base×height is the formula for area of which type of triangles?

Question 46

Length of a side of a square and its area vary directly with each other.

Choose the correct answer in each of the following :

The curved surface area of one cone is twice that of the other while the slant height of the latter is twice that of the former. The ratio of their radii is

(a) 2:1 (b) 4:1 (c) 8:1 (d) 1:1

Fill in the blanks so as to make the following statements true :

(i) Two distinct points in a plane determine a _________ line.

(ii) Two distinct ______ in a plane cannot have more than one point in common.

(iii) Given a line and a point, not on the line, there is one and only______ line which passes through the given point and is ______ to the given line.

(iv) A line separtes a plane into ______ parts namely the ______ and the ______ itself.

What is the difference in perimeters of the $9^{th}and{8}^{th}$ triangles in the Spiral of Theodorus?

In the given figure, ABCD is a field in the form of a quadrilateral whose sides are indicated. If $\angle DAB={90}^{\circ }$. The area of field is :

(i) In Figure (1), O is the centre of the circle. If $\angle \text{OAB}={40}^{\circ }$ and $\angle \text{OCB}={30}^{\circ }$, find $\angle \text{AOC}$.

(ii) In Figure (2), A, B and C are three points on the circle with centre O such that $\angle \text{AOB}={90}^{\circ }$ and $\angle \text{AOC}={110}^{\circ }$. Find $\angle \text{BAC}$.

What is volume?

If the median of 33, 28, 20, 25, 34, x is 29, find the maximum possible value of x.

If the mean of the data 3,21, 25, 17, (x+ 3), 19, (x- 4) is 18, find the value of x. Using this value of x, find the mode of the data.

1. 1

If $cos3\theta =\frac{\sqrt{3}}{2};0<\theta <200$, then value of $\theta$ is:

93. The agenda of the budget 2017-18 is TEC. What does TEC stands for?

Factorise:
$4x^4+7x^2-2$

Find two rational and two irrational numbers between 0.5 and 0.55.

If $p\left(y\right)=4+3y-y^2+5y^3$, find
(i) p(0),
(ii) p(2),
(iii) p(-1)

The volume of a cube whose surface area is $96c{m}^2,$ is

Find the slope of the line $2y+5x=7$.

The number of values of a for which $(a^2-3a+2)x^2+(a^2-5a+6)x+a^2-4=0$ is an identity in x is

In the figure, angle ABC = 65^o and angle ACB = 58^o, the measure of angle BDC is

The area of a rhombus is 96 cm² and one of the diagonals is 12 cm. Find the other diagonal.

What can you tell about the ratio of coefficients for the llines $a_{1}x+b_{1}y+c_1=0$ and $a_{2}x+b_{2}y+c_2=0$ from the graph?

Evaluate:- $(\frac{27}{125}{)}^{\frac{2}{3}}\times (\frac{9}{25}{)}^{\frac{-3}{2}}$

The value of $x^{\circ }$ in the given figure is _______

Rohit borrows Rs. 86.000 from Arun for two years at 5% per annum simple interest. He immediately lends out this money to Akshay at 5% compound interest compounded annually for the same period. Calculate Rohit's profit in the transaction at the end of two years.

factorise a^{​​​​​​7}​​​​​+ab^{​​​​​6}

$\sqrt{5}$ is a polynomial of degree

If l,m,n are three lines such that l||m and $n\perp l$, prove that $n\perp m$.

In the given triangle, The value of SinA is

Factorise: $2x^2-\frac{5}{6}x+\frac{1}{12}$

The height of sand in a cylindrical-shaped can drops 3 inches when 1 cubic foot of sand is poured out. What is the diameter, in inches, of the cylinder ?

(a) $\frac{24}{\sqrt{\pi }}$ (b) $\frac{48}{\sqrt{\pi }}$

(c) $\frac{32}{\sqrt{\pi }}$ (d) $\frac{48}{\sqrt{\pi }}$

If $\frac{x}{y}+\frac{y}{x}=-1$, where $x,y\ne 0$ then the value of $(x^3-y^3)$ is
(a) $1$

(b)$-1$

(c) $0$

(d) $\frac{1}{2}$

In figure, $\angle$PSR=${100}^{\circ }$,where P,Q and R are points on a circle with centre O.Find $\angle$OPR (in degrees).

Simplify : $\sqrt{3-2\sqrt{2}}$.

In the given figure, AB is chord of a circle with centre O and BOC is a diameter. If OD$\perp$AB such that OD = 6 cm then AC = ?

(a) 9 cm

(b) 12 cm

(c) 15 cm

(d) 7.5 cm

find product of 3 - √7 an its conjugate

The probability of an event of a trial is: