Explore topic-wise InterviewSolutions in .

Statement 1: Bar Graph is a graph of rectangles.

Statement 2: Width of the rectangle gives us the quantity that bar is representing.

Which is/are correct?

Simplify:$(\frac{(\frac{1}{5}{)}^{-3}-(\frac{1}{3}{)}^{-4}}{(\frac{1}{4}{)}^{-3}})$

Question 92

Write is 15 % of 20?

A die is thrown 1000 times with the following frequency for the outcomes 1, 2, 3, 4, 5 and 6 as given below :

$$\begin{array}{ccccccc}Outcome& 1& 2& 3& 4& 5& 6\\ frequency& 179& 150& 157& 149& 175& 190\end{array}$$

(i) Find the probability of getting a 1 or a 6
(ii) Find the probability of getting a multiple of 4 [ 2 MARKS]

Question 30

Which of the following triplets cannot be the angles of a triangle?
a) ${67}^{\circ },{51}^{\circ },{62}^{\circ }$
b) ${70}^{\circ },{83}^{\circ },{27}^{\circ }$
c) ${90}^{\circ },{70}^{\circ },{20}^{\circ }$
d) ${40}^{\circ },{132}^{\circ },{18}^{\circ }$

If Rs. 60 is divided into two parts in the ratio 1:3, then find the difference between those two parts.

If $a^m$ × $a^n$ = $a^x$, then the value of $x$ is _____. (where m and n are natural numbers)

Question 125 (ii)

If '*' is an operation have, such that for integers a and b. We have
$a\ast b=a\times b+(a\times a+b\times b),$ then find
$(-6)\ast 2$

The addition of any two natural numbers always leads to a ___.

Ram bought 5.5 kg of rice at ₹ 13.5 per kg. What was the total cost of rice?

Find the perimeter of the following figure (all measurements are in mm):

In the figure, AB is parallel to CD, if $\angle 1+\angle 3={240}^{\circ }$, find the value of $\angle 6$.

Which of the following, nets can be folded to form a cube?

A shopkeeper earns a profit of Re 1 by selling one pen and incurs a loss of 40 paise per pencil while selling pencils of her old stock.

(i) In a particular month, she incurs a loss of Rs 5. In this period, she sold 45 pens. How many pencils did she sell in this period?

(ii) In the next month, she earns neither profit nor loss. If she sold 70 pens, how many pencils did she sell? [3 MARKS]

Which of the following is not a three-dimensional shape?

V = 1 - 9t if t<9

V= 5 - 2t if t >9

Find the value of v (m/s) when t = 5

Multiply :
$\left(i\right)\frac{5}{6}\text{and}\frac{8}{9}\left(ii\right)\frac{2}{7}\text{and}\frac{-14}{9}\left(iii\right)\frac{-7}{8}\text{and}4\left(iv\right)\frac{36}{-7}\text{and}\frac{-9}{28}\left(v\right)\frac{-7}{10}\text{and}\frac{-8}{15}\left(vi\right)\frac{3}{-2}\text{and}\frac{-7}{3}$

Question 23

$\frac{2}{3}$ of 27 is___

Question 2 (iv)
In the adjoining figure, identify:

The vertically opposite angels.

Question 30

Fill in the blank to make the statement true
${\left(\frac{13}{14}\right)}^5÷\text{\_\_}={\left(\frac{13}{14}\right)}^3$

Question 65

When Chimay visited Chowpati at Mumbai on a holiday, he observed that the ratio of North Indian food stalls to South Indian food stalls is 5 : 4. If the total number of food stalls is 117, find the number of each type of food stalls.

Find the value of $\angle 1$ (in degrees).
Given, l and m are two parallel lines.

In a/an triangle, all the altitudes and the medians coincide with each other.

250 students of class X of a school appeared in a test of 100 marks and the data about the marks secured is as below.$$\begin{array}{cccccc}Markssecured& 0-20& 21-40& 41-60& 61-80& 81-100\\ Numberofstudents& 20& 35& 65& 60& 70\end{array}$$

Find the probability of selecting at random, a student who scored

(i) not more than 40
(ii) more than 60
(iii) more than 80 [ 2 MARKS ]

(i) How many of the given alphabets have rotational symmetry:
Z, H, E, N, C

(ii) Give the order of the rotational symmetry of each figure.

[3 MARKS]

The distance between the top of two trees 20 m and 28 m high is 17 m. The horizontal distance between the trees is ______.

Which of the following does not have rotational as well as point symmetry ?

Subtract the sum of $x^3+x^2-7xy+2y^2+56x$ and $-6x^3+9x^2-24xy-79x$ from the sum of $5x^3+2xy+4y^2$ and $7x^2-16xy+6y^2+6x$.

Find the median of the following set of points:

15, 14, 10, 8, 12, 8, 16, 13

Question 78 (ii)

Find the sum of $\frac{7}{3}$ and $\frac{-4}{3}$

Question 71

State whether the statement is True or False.

Sum of two sides of a triangle is greater than or equal to the third side.

. In a quiz, team A scored – 40, 10, 0 and team B scored 10, 0, – 40 in three

successive rounds. Which team scored more? Can we say that we can add integers in any order?

Question 119 (iv)

Write a positive integer and a negative integer whose difference is a positive integer.

Question 23

Fill in the blanks to make the statement true.

Additive inverse of $\frac{2}{3}$ is ___ .

Question 6 (i)

Which of the following pairs represent the same rational numbers:
$\frac{-7}{21}and\frac{3}{9}$

Sarosh comes home from the office at 8 o' clock. The least angle subtended between the hour hand and minute hand by the time he reaches home is:

Two points on the circumference of a circle result in the formation of two arcs. The arc of longer length is called the ___ arc.

The product of - $\frac{7}{29}$ and - $\frac{58}{14}$ is ___

Prepare a Bank Reconciliation Statement on 31 December 2009 for the following when credit balance as per bank column of cash book is Rs.1,800:

(1) Cheques issued, but not presented for payment Rs.360.

(2) Cheque deposited but not collected by the bank.Rs.770

(3) Interest on overdraft charged by the bank Rs.30.

(4) A customer directly deposited in bank Rs.500.

The complement of an angle is 30 degree less than twice the angle.Find the angle.