Explore topic-wise InterviewSolutions in Current Affairs.

$\text{If V is the volume of a cuboid of dimensions a,b,c and S is its surface area then prove that}\frac{1}{V}=\frac{2}{S}(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}).$

In a business, Shyam and Rahul invest $\frac{3}{8}$ and $\frac{5}{8}$ of the total investment. If ₹ 48,000 is the total investment. Who invested more and by how much?

The determinant $\left|\begin{array}{ccc}1& a^2+bc& a^3\\ 1& b^2+ca& b^3\\ 1& c^2+ab& c^3\end{array}\right|$ equals

If the volume of a sphere is equal to the volume of the hemisphere, then find the ratio of the radius of the sphere to the radius of the hemisphere.

ABCD is a cyclic quadrilateral of a circle with centre O such that AB is a diameter of this circle and the length of the chord CD is equal to the radius of the circle. If AD and BC produced meet at P, show that $APB={60}^{\circ }.$

A floor is 5 m 40 cm long and 3 m 75 cm wide. Find the area of the carpet required to cover the floor?

Area of a rectangle and the area of a circle are equal. If dimensions of the rectangle are $14cm\times 11cm$, then radius of the circle is :

Match the following with the values of 'x'.

Match the two columns :
$\begin{array}{cc}Column-I& Column-II\\ \text{A) Sum of all the angles}& \text{P) Right anlges}\\ \text{of a quadrilateral is}& \\ \text{B) In a}\parallel \text{gm, the angle}& \text{Q) Rectangle}\\ \text{bisectors of two adjacent}& \\ \text{angles intersect at}& \\ \text{C) Angle bisectors of form}& R){45}^{\circ }\\ \text{a}\parallel \text{gm from a}& \\ \text{D) The diagonals of a}& \text{S) 4 right angles}\\ \text{square are equal and}& \\ \text{bisect each other at}& \\ \text{an angle of}& \end{array}$
Choose the correct option:

Arun scored $36$ marks in English, $44$ marks in Hindi, $75$ marks mathematics and $x$ marks in science. If he has secured an average of $50$ marks, find the value of $x$.

Of the total amount received by a Bank Employee, 30% was spent on purchases and 10% of the remaining on transportation. If he is left with Rs. 630 after all mentioned expenditure, the amount (Rs.) received by him is:

Let A = {1, 2, 3, 4} and R be a relation in A given by R = {(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (2, 1), (3, 1), (1, 3)}. Then R is

Find the value of 'x' in the equation $3x+8=0$.

Solve:

$x-2y=0and3x-y=5$

Which one of the following options is true, and why?

y = 3x + 5 has

(i) a unique solution, (ii) only two solutions, (iii) infinitely many solutions

In the given figure, ABCD is a quadrilateral. $\angle B+\angle D$ is equal to

The surface area and volume of a rectangular block in which the length is 1 centimetre more than the width and the height is 1 centimetre more than the length.

In a triangle $ABC$, perpendicular $AD$ from $A$ on $BC$ meets at $D.$ If $BD=8cm$, $DC=2cm$ and $AD=4cm,$ then ___.

Question 98(ii)

Simplify:

${\left({\left(\frac{-2}{3}\right)}^{-2}\right)}^3\times {\left(\frac{1}{3}\right)}^{-4}\times 3^{-1}\times \frac{1}{6}$

What is the perpendicular distance of the point Q (5,7) from X-axis?

If Fig. PQRS is a quadrilateral and T and U are respectively points on PS and RS such PQ = RQ.

$\angle$ PQT = $\angle$ RQU and $\angle$ TQS = $\angle$ UQS. Prove that QT = QU.

[4 MARKS]

Question 12

$\begin{array}{cc}{\text{Concentration of SO}}_2\text{(in ppm)}& \text{Number of days (frequency)}\\ 0.00-0.04& 4\\ 0.04-0.08& 9\\ 0.08-0.12& 9\\ 0.12-0.16& 2\\ 0.16-0.20& 4\\ 0.20-0.24& 2\\ \text{Total}& 30\end{array}$

The above frequency distribution table represents the concentration of Sulphur dioxide in the air in parts per million of a certain city for 30 days. Using this table,

find the probability of the concentration of Sulphur dioxide in the interval 0.12−0.16 on any of these days.

If radius of a circle is halved then, ________________.

1. 15

The sum of all the angles of a quadrilateral is equal to ___ .

What's the volume of the cylinder of radius 21 cm and height 7 cm?
[$use\pi =\frac{22}{7}$]

For the following statement write True (T) or False (F). If the statement is false, correct the statement:

Smallest negative integer is –1.

Question 78

In the following question, state whether the given statement is true (T) or false (F).
Sum of two consecutive odd numbers is always divisible by 4.

If A is a matrix such that $\left(\begin{array}{cc}2& 1\\ 3& 2\end{array}\right)A\left(11\right)=\left(\begin{array}{cc}1& 1\\ 0& 0\end{array}\right)$ then A=

If O is the center of the circle, then what is the radius of the circle?

If A and B are acute angles of a right angled triangle and sinA = cosB, then

1. By which, either an ordered pair or an integer, a solution of a linear equation in two variables is always given?

2. Is it true that the graph of the linear equations X + 2 Y equal to 7 passes through the point (0,7)?

Mrs. Jhaluka deposits Rs 1000 every month in a recurring deposit account for a time period of 3 years at 8% interest per annum. What is the matured value?