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Fundamental Principle of Counting

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Question

A A B B C C D D E E

M S M S M S M S M S
$2006$ $2.8$ $1.3$ $3.3$ $2.2$ $2.6$ $1.7$ $3.0$ $2.2$ $1.9$ $1.4$
$2007$ $3.2$ $2.0$ $2.4$ $1.6$ $2.2$ $1.5$ $2.5$ $1.9$ $2.0$ $1.7$
$2008$ $1.9$ $0.9$ $2.9$ $1.6$ $2.1$ $1.0$ $2.3$ $1.5$ $1.6$ $1.1$
$2009$ $1.0$ $0.4$ $2.4$ $1.3$ $2.8$ $1.4$ $2.1$ $1.2$ $3.2$ $2.5$
$2010$ $2.5$ $1.5$ $2.3$ $1.2$ $2.6$ $2.1$ $1.8$ $1.1$ $3.1$ $2.6$

What is the total number of units manufactured by company C over all the years together?

A

14.20

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B

10.30

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C

12.30

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D

13.20

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Solution

The correct option is D $12.30$
Total number of units manufactured by company C over all the years together
= $2.6 + 2.2 + 2.1 + 2.8 + 2.6 = 12.3$

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Similar questions

Q. Answer the question based on the information given in the following table A,B, C, D, E denote companies and 2006, 2007, 2008, 2009 and 2010 denote years.
Number of units manufactured(M) and Number of units sold (s)(in hundred) by five different companies over the years.

	A	A	B	B	C	C	D	D	E	E
	M	S	M	S	M	S	M	S	M	S
$2006$	$2.8$	$1.3$	$3.3$	$2.2$	$2.6$	$1.7$	$3.0$	$2.2$	$1.9$	$1.4$
$2007$	$3.2$	$2.0$	$2.4$	$1.6$	$2.2$	$1.5$	$2.5$	$1.9$	$2.0$	$1.7$
$2008$	$1.9$	$0.9$	$2.9$	$1.6$	$2.1$	$1.0$	$2.3$	$1.5$	$1.6$	$1.1$
$2009$	$1.0$	$0.4$	$2.4$	$1.3$	$2.8$	$1.4$	$2.1$	$1.2$	$3.2$	$2.5$
$2010$	$2.5$	$1.5$	$2.3$	$1.2$	$2.6$	$2.1$	$1.8$	$1.1$	$3.1$	$2.6$

What is the average number of units sold by company D over all the years together?

Q. Answer the question based on the information given in the following table A,B, C, D, E denote companies and 2006, 2007, 2008, 2009 and 2010 denote years.Number of units manufactured(M) and Number of units sold (s)(in hundred) by five different companies over the years.

	A	A	B	B	C	C	D	D	E	E
	M	S	M	S	M	S	M	S	M	S
$2006$	$2.8$	$1.3$	$3.3$	$2.2$	$2.6$	$1.7$	$3.0$	$2.2$	$1.9$	$1.4$
$2007$	$3.2$	$2.0$	$2.4$	$1.6$	$2.2$	$1.5$	$2.5$	$1.9$	$2.0$	$1.7$
$2008$	$1.9$	$0.9$	$2.9$	$1.6$	$2.1$	$1.0$	$2.3$	$1.5$	$1.6$	$1.1$
$2009$	$1.0$	$0.4$	$2.4$	$1.3$	$2.8$	$1.4$	$2.1$	$1.2$	$3.2$	$2.5$
$2010$	$2.5$	$1.5$	$2.3$	$1.2$	$2.6$	$2.1$	$1.8$	$1.1$	$3.1$	$2.6$

What is the approximate per cent increase in the number of units sold by company E in the year

2007

from the previous year?

Q. Answer the question based on the information given in the following table A,B, C, D, E denote companies and 2006, 2007, 2008, 2009 and 2010 denote years.
Number of units manufactured(M) and Number of units sold(S) (in hundred) by five different companies over the years.

	A	A	B	B	C	C	D	D	E	E
	M	S	M	S	M	S	M	S	M	S
$2006$	$2.8$	$1.3$	$3.3$	$2.2$	$2.6$	$1.7$	$3.0$	$2.2$	$1.9$	$1.4$
$2007$	$3.2$	$2.0$	$2.4$	$1.6$	$2.2$	$1.5$	$2.5$	$1.9$	$2.0$	$1.7$
$2008$	$1.9$	$0.9$	$2.9$	$1.6$	$2.1$	$1.0$	$2.3$	$1.5$	$1.6$	$1.1$
$2009$	$1.0$	$0.4$	$2.4$	$1.3$	$2.8$	$1.4$	$2.1$	$1.2$	$3.2$	$2.5$
$2010$	$2.5$	$1.5$	$2.3$	$1.2$	$2.6$	$2.1$	$1.8$	$1.1$	$3.1$	$2.6$

What is the respective ratio of total number of units manufactured by company A and B together in the year

2009

to those sold by them in the same year?

Q.
Answer the question based on the information given in the following table A,B, C, D, E denote companies and 2006, 2007, 2008, 2009 and 2010 denote years.
Number of units manufactured(M) and Number of units sold (s)(in hundred) by five different companies over the years.

	A	A	B	B	C	C	D	D	E	E
	M	S	M	S	M	S	M	S	M	S
$2006$	$2.8$	$1.3$	$3.3$	$2.2$	$2.6$	$1.7$	$3.0$	$2.2$	$1.9$	$1.4$
$2007$	$3.2$	$2.0$	$2.4$	$1.6$	$2.2$	$1.5$	$2.5$	$1.9$	$2.0$	$1.7$
$2008$	$1.9$	$0.9$	$2.9$	$1.6$	$2.1$	$1.0$	$2.3$	$1.5$	$1.6$	$1.1$
$2009$	$1.0$	$0.4$	$2.4$	$1.3$	$2.8$	$1.4$	$2.1$	$1.2$	$3.2$	$2.5$
$2010$	$2.5$	$1.5$	$2.3$	$1.2$	$2.6$	$2.1$	$1.8$	$1.1$	$3.1$	$2.6$

The number of units sold(S) of company D in the year

2006

is what per cent of the number of units manufacture(M) by it in the year? (rounded off to two digits after decimal)

Q. A company manufactures car batteries of a particular type. The life (in years) of 40 batteries were recorded as follows:

2.6 3.0 3.7 3.2 2.2 4.1 3.5 4.5

3.5 2.3 3.2 3.4 3.8 3.2 4.6 3.7

2.5 4.4 3.4 3.3 2.9 3.0 4.3 2.8

3.5 3.2 3.9 3.2 3.2 3.1 3.7 3.4

4.6 3.8 3.2 2.6 3.5 4.2 2.9 3.6

Construct a grouped frequency distribution table with exclusive classes for this data, using class intervals of size

0.5

starting from the interval

2 - 2.5

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