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The table below shows the production of different types of caps (in thousands) in different years.

Type of Cap/Year  2008  2009  2010  2011  2012 
M 576  896  287  896  884 
N 560  753  473  560  637 
Q 586  637  576  753  678 
R 778  780  560  780  678 

In which year was the production (in thousands) of Cap Q equal to that of Cap R?

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  1. 2010
  2. 2011
  3. 2009
  4. 2012

Answer (Detailed Solution Below)

Option 4 : 2012
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Detailed Solution

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Given:

The table below shows the production of different types of caps (in thousands) in different years.

Type of Cap/Year

Type of Cap/Year 2008 2009 2010 2011 2012
M 576 896 287 896 884
N 560 753 473 560 637
Q 586 637 576 753 678
R 778 780 560 780 678

Formula used:

To find the year where the production of Cap Q is equal to that of Cap R.

Calculation:

Checking each year:

2008: Q = 586, R = 778

2009: Q = 637, R = 780

2010: Q = 576, R = 560

2011: Q = 753, R = 780

2012: Q = 678, R = 678

⇒ In the year 2012, the production of Cap Q (678) is equal to that of Cap R (678).

∴ The correct answer is option (4).

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