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Dragnet Numerical Reasoning Questions and Answers


Fig 2.0


36)

Between which three years was there an average of 1,553 employees for one of the Subsidiary Companies?

Step 1 – looking at the employee totals there are only two Subsidiary Companies that could have an average of 1,553 employees across three years: Subsidiary Companies 1 and 4. The answer options include Subsidiary Companies 1 and 4, as well as (E) None of these.

Step 2; calculate the average number of employees for answer options (A) – (D)
2005-2007 Subsidiary 1 = 1,565
2006-2008 Subsidiary 1 = 1,581
2007-2009 Subsidiary 4 = 1,553
2007-2009 Subsidiary 1 = 1,591

So the correct answer is (C) 2007-2009 Subsidiary 4

Fig 1.19


37)

In which year was pre-tax profit less than 20% of total gross revenue?

Calculate the % of pre-tax profit for each year;

  Total Gross
Revenue		 Pre-Tax
Profit		 Pre-Tax
profit/total
gross revenue
2006 40  8.5  21.25%
2007 42.7  8.7  20.4%
2008 44.4  9.0  20.3%
2009 50  9.6  19.2%

So the correct answer is 2009
38)

For the average annual pre-tax profit (for the years 2007-2009) to equal the average annual pre-tax profit (for the years 2007-2010), what must be the new 2010 Projection?

Step 1 – calculate the average annual Pre-tax profit between 2007-2009
(8.7 + 9.0 + 9.6)/3 = 9.1

Step 2 – create an equation where X = 2010 Projection and the average annual pre-tax
profit (2007-2010) = 9.1

Step 3 – 9.1 = (X + 8.7 + 9.0 + 9.6)/4
X = (9.1 x 4) - 8.7 - 9.0 - 9.6 = 9.1 million

So the correct answer is £9,100,000
39)

If Earnings per share = Pre-tax profit / Number of shares issued, how many shares were issued in 2008 compared to 2006?

Step 1 – calculate the Number of shares issued in 2008
Earnings per share = Pre-tax profit / Number of shares issued
1.2 = 9,000,000 / Number of shares issued
Number of shares issued = 9,000,000 / 1.2 = 7,500,000

Step 2 – calculate the Number of shares issued in 2006
0.85 = 8,500,000 / Number of shares issued
Number of shares issued = 8,500,000 / 0.85 = 10,000,000

Step 3 – Calculate the difference
7,500,000 - 10,000,000 = 2,500,000 less

Thus the correct answer is 2,500,000 less
40)

Which Brand’s gross revenue has increased in value by the largest amount between 2006 and 2008?

Step 1 - Calculate the Gross Revenue for each Brand in 2007 and 2009. In millions we have:

  Brand 1 Brand 2 Brand 3 Brand 4
2006 40 x 25% = 10 40 x 15% = 6 40 x 35% = 14 40 x 25% = 10
2008 44.4 x 30% =13.32 44.4 x 10% = 4.44 44.4 x 25% = 11.1 44.4 x 35% = 15.54

Step 2 - Calculate the change in Gross Revenue for each Brand in 2007-2009

  Brand 1 Brand 2 Brand 3 Brand 4
2006-2008 3.32 increase 1.56 decrease 2.9 decrease 5.54 increase

So the correct answer is Brand 4

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