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Dragnet Numerical Reasoning Questions and Answers


Fig 1.8


81)

If Company C’s sales in 2009 were in the ratio of 8:7 for online: offline sales, what were the offline sales (to the nearest £1,000)?

Step 1 – use Manufacturer C’s 2009 total sales figure from the previous question
i.e. 2,380,000 (312,500 + 396,700 + 546,300 + 595,500 + 529,000)

Step 2 – put this figure into the question’s ratio
Online sales + offline sales = 2,380,000
Offline sales = (2,380,000 x 7)/ (7+8) = 1,110,667

Step 3 - to the nearest £1,000 = 1,111,000
Thus the correct answer is (E), £1,111,000
82)

What is the percentage increase in Company C’s total sales for 2010 compared its 2009 total sales?

The information that you need is shown in the table.

Step 1 – calculate 2009’s total sales
312,500 + 396,700 + 546,300 + 595,500 + 529,000 = 2,380,000

Step 2 – calculate 2010’s total sales
278,500 + 470,400 + 502,000 + 643,100 + 506,000 = 2,400,000

Step 3 – calculate the % difference
2,400,000 / 2,380,000 = 1.0084 which is a 0.84% increase.

Thus the correct answer is (B), 0.84%
83)

Manufacturers B and D each aim to increase their annual sales from 2010 to 2011 by a quarter. Manufacturers A, C and E each aim to grow their annual sales by a fifth. Assuming all companies meet these targets, what will be 2011’s total furniture manufacturer sales (to the nearest £million)?

The information that you need is shown in the pie-chart.

Step 1 - Calculate the 2011 targets for each garden furniture manufacturer
Manufacturer A: 1.2 x 1.2 = 1.44
Manufacturer B: 3.3 x 1.25 = 4.125
Manufacturer C: 2.4 x 1.2 = 2.88
Manufacturer D: 2.7 x 1.25 = 3.375
Manufacturer E: 2.4 x 1.2 = 2.88

Step 2 – Calculate the total 2011 target for all garden furniture manufacturers
1.44 + 4.125 + 2.88 + 3.375 + 2.88 = 14.7

Step 3 – to the nearest £million = £15 million
Note: in this question we were lucky that £14.7 million was not an available answer.
Sometimes questions deliberately include the answer not rounded as required, to catch
you out.

Thus the correct answer is (C), £15 million
84)

Which garden furniture manufacturer has 22.5% of the UK market in terms of 2010 annual sales?

The information that you need is shown in the pie-chart.

Step 1 – Calculate the total annual sales for all furniture manufacturers
1.2 + 3.3 + 2.4 + 2.7 + 2.4 = £12 million

Step 2 – Next, the quickest way to complete this question is to calculate 22.5% of the 12
million and see which manufacturer has this sales value. So 22.5% of 12 is 2.7. We
immediately see that Manufacturer D has sales of 2.7 (ignoring any units).
Alternatively, the slower way would be to calculate the % of the UK market held by each
furniture manufacturer:

Manufacturer A = 1.2/12 x 100% = 10%
Manufacturer B = 3.3/12 x 100% = 27.5%
Manufacturer C = 2.4/12 x 100% = 20%
Manufacturer D = 2.7/12 x 100% = 22.5%
Manufacturer E = 2.4/12 x 100% = 20%

Thus the correct answer is (D), Manufacturer D

Fig 1.7


85)

Which two manufacturing plants have the same total maintenance costs per week?

Calculate the total weekly maintenance costs for each production plant

Midlands = 196 + 1,050 + 300 + 95 + 650 + 525 = 2,816
Bordeaux = 204 + 1,100 + 250 + 236 + 600 + 400 = 2,790
Berlin = 212 + 950 + 275 + 164 + 450 + 400 =2,451
Amsterdam = 154 + 1,025 + 350 + 245 + 525 + 500 = 2,799
Glasgow = 195 + 875 + 300 + 189 + 720 + 425 = 2,704

Thus the correct answer is (E), None of these

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