Explore topic-wise InterviewSolutions in .

The distance (in km) of 40 engineers from their residence to their place of work were found as follows.

What is the empirical probability that an engineer lives:

(i) less than 7 km from her place of work?

(ii) more than or equal to 7 km from her place of work?

(iii) within km from her place of work?

$\mathrm{The}\mathrm{volume}\mathrm{of}a\mathrm{wall},5\mathrm{times}\mathrm{as}\mathrm{high}\mathrm{as}\mathrm{it}\mathrm{is}\mathrm{wide}\mathrm{and}8\mathrm{times}\mathrm{as}\mathrm{long}\mathrm{as}\mathrm{it}\mathrm{is}\mathrm{high},\mathrm{is}12.8\mathrm{cu}.\mathrm{meters}.\mathrm{Find}\mathrm{the}\mathrm{breadth}\mathrm{of}\mathrm{the}\mathrm{wall}\mathrm{in}\mathrm{cm}.$

1. 40

Two lines AB and CD interest at O such tht BC is equal and parallel to AD. Prove that the lines AB and CD bisect at O.

1. 90

If a polynomial cuts the x-axis at 3 points and y-axis at 2 points, then the number of zeroes of the polynomial would be

In the given figure, O is the centre of a circle and diameter AB bisects the chord CD at a point E such that CE = ED = 8 cm and EB = 4 cm. The radius of the circle is

(a) 10 cm

(b) 12 cm

(c) 6 cm

(d) 8 cm

Question 9

For calculation of interest compounded half-yearly, keeping the principal same, which one of the following is true?
(a) Double the given annual rate and half the given number of years
(b) Double the given annual rate as well as the given number of years
(c) Half the given annual rate as well as the given number of years
(d) Half the given annual rate and double the given number of years

Which of the following is not a natural number?

What is the y-coordinate of point C? Given angle ACB is ${90}^{\circ }$.

What property of a rectangle do we use if we need to construct a rectangle whose adjacent sides are given?

In the above figure, ACDF, ABEF and BCDE are all parallelograms. Analyse the given figure and chosse the correct option.

Which of these is an irregular polygon?

A rectangular container, whose base is a square of side 5 cm, stands on a horizontal table, and holds water upto 1 cm from the top. When a cube is placed in the water it is completely submerged, the water rises to the top and 2 cubic cm of water overflows. Calculate the volume of the cube and also the length of its edge.

0.2359872785........... is a rational or irrational number

AD and BC are equal perpendiculars to a line segment AB (See the given figure). Show that CD bisects AB.

Question 16

Both x and y vary directly with each other and when x is 10, y is 14, which of the following is not a possible pair of corresponding values of x and y?

(a) 25 amd 35

(b) 35 and 25

(c) 35 and 49

(d) 15 and 21

Factorize:

$x{y}^9-y{x}^9$

The length of the hypotenuse of right triangle is $\sqrt{2}$ m. To find the approximate value of the new number $\sqrt{2}$, we need to select the numbers and square them and check if its equal to 2. Which of the following is the range of numbers we can select?

proove that √2 is not a rational number

If $a^2+b^2+c^2=2(b+c-1)$, then find the value of $a+b+c$ .

The rain water from a $22m\times 20$ m roof drains into a cylindrical vessel of diameter 2 m and height 3.5 m. If the rain waer collected from the roof fills $\frac{4}{5}$ th of the cylindrical vessel then find the rainfall in centimetre.

Factorise:
$15x^2-x-28$

1. 2

Once the construction by the method of Triangle Construction 3 is complete, how many triangles are totally there in the completed figure?

If two lines are collinear, they -

Question 45

Volume of a cylinder with radius h and height r is ___

1. 0.099

The value of the expression:

${\tan }^{-1}\sqrt{3}-{\cot }^{-1}(-\sqrt{3})$ is equal to

If $x-\frac{1}{x}=7,$ find the value of $x^3-\frac{1}{x^3}$.