Explore topic-wise InterviewSolutions in .

If $A,B$ and $C$ are independent events such that $P\left(A\right)=\frac{1}{2},P\left(B\right)=\frac{3}{4}$ and $P\left(C\right)=\frac{2}{3}$

Consider the following statements:

$\left(A\right)$ : Probability that none of them occur is $p$

$\left(B\right)$ : Probability that at least one of them occur is $q.$

Which of the following is/are $TRUE$ ?

Question 89

Find the difference between compound interest and simple interest on Rs. 45000 at 12% per annum for 5 yr.

The numerical expression $\frac{3}{8}$ + ($\frac{-5}{7}$) equal to $\frac{-19}{56}$ shows that:

What is the multiplicative inverse of 0?

Class monitor of class 7^th was asked to arrange the marks of 5 students in ascending order. After arranging the marks , he was supposed to represent the marks on the number line. Represent the marks on the number line if marks obtained by the students were: 12, 4 , 6 , (-1), (-3 ). [3 MARKS]

The speed of an object is defined as

Question 87(vi)

Classify the following statements under appropriate headings.

Winning a racing competition by you ?

$\begin{array}{ccc}\text{Certain to happen}& \text{Impossible to happen}& \text{May or may not happen}\\ & & \\ & & \end{array}$

How many natural numbers lie between 9² and 10²?

The length of the side of a square with an area of 1600 m² is __ metres.

Question 27

Fill in the blanks to make the statements true.

The unit's digit in the square of 1294 is ___

Question 92 (ii)

Factorise the following using the identity $a^2-b^2=(a+b)(a-b).$

$4x^2-25y^2$

In a class, the teacher asks the students to name a few scientists. Following were the names that came up - Einstein, Newton, Einstein, Faraday, Tesla, Hawking, Einstein, Tesla, Tesla, Faraday, Einstein. Who is the most famous scientist?

$3\times (-1)\times (-15)=?$

Question 6

In the figure, LM is a line parallel to the y-axis at a distance of 3 units.

a. What are the coordinates of the points P, R and Q?

b. What is the difference between the abscissa of the points L and M?

If a number has 2 or 8 in the unit’s place, then its square ends in

Find the simple interest on Rs 3,500 at the rate of per annum for 165 days.

In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack?

Question 5 (i)

The following table gives the life times of neon lamps:

$\begin{array}{cc}\text{Length (in hours)}& \text{Number of lamps}\\ 300-400& 14\\ 400-500& 56\\ 500-600& 60\\ 600-700& 86\\ 700-800& 74\\ 800-900& 62\\ 900-1000& 48\end{array}$

(i) Represent the given information with the help of a histogram.

Area of a circle whose radius is 5 cm is

There is a black bag which contains 100 identical balls. 99 of those balls are red in color and remaining 1 is white. Now, if you take a ball out from the bag, what can be said about its color?

By selling an almirah for Rs 3,600, a merchant loses 10 %. Find his loss or gain percent, if he sells it for Rs 4225.

The figure shows an equilateral $\Delta ABC$ of side 10 cm and a right angle $\Delta BDC$ whose side BD = 8 cm and $\angle D={90}^{\circ }$.

The area of the shaded portion is ___ $c{m}^2$.

Which of the following should be the THIRD sentence after rearrangement?

A cubiod has total surface area of 50 $m^2$ and lateral surface area is 30 $m^2$. Find the area of its base.

In which of the following quadrilaterals, diagonals bisect each other?

i) Parallelogram

ii) Rhombus

iii) Rectangle

iv) Square

v) Kite

If x and y are distinct integers, then which of the following is true about $\frac{x+y}{2}$?

Solve:-

$(\frac{2^5}{2^8})\times 2^{-7}$