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Dragnet Numerical Reasoning Questions and Answers


Fig 1.2


106)

Brand A and Brand D are to have their number of staff reduced by the same percentage reduction seen by their Marketing Budgets between 2010 and 2011. If the number of staff at Brand A was originally 120 and the number of staff at Brand D triple this, what are the new reduced staff numbers for each Brand?

Step 1 – calculate the percentage reduction in Marketing Budget for each Brand.
Brand A: 225 / 300 = 25% reduction
Brand D: 210 / 300 = 30% reduction

Step 2 – calculate the new number of staff for Brand A
120 x 0.75% = 90

Step 3 – calculate the new number of staff for Brand D
(120 x 3) x 0.7 = 252

So the correct answer is 90 (Brand A); 252 (Brand D)
107)

Which Brand has suffered the largest percentage cut in its Marketing Budget?

Step 1 - Calculate the % cut for each branch from 2010 to 2011:

Brand A = 75/300 x 100% = 25%
Brand B = 135/410 x100% = 32.9%
Brand C = 85/260 x 100% = 32.7%
Brand D = 90/300 x 100% = 30%
Brand E = 115/365 x 100% = 31.5%

So the correct answer is Brand B
108)

Between 2010 and 2011 what is the total cut in the marketing budget across the 5 Brands (in 10,000s)?

Step 1 – calculate the 2010 total marketing budget for each Brand
300 + 410 + 260 + 300 + 365 = 1635

Step 2 – calculate the 2011 total marketing budget for each Brand
225 + 275 + 175 + 210 + 250 = 1135

Step 3 – calculate cut
2010 marketing budget – 2011 marketing budget = 1635 – 1135 = 500 (in 10,000s)

So the correct answer is 500

Fig 1.1


109)

If the 2006 Inventories cost had increased by an eighth compared to the previous year, what was the previous year’s Inventories cost (to the nearest £10,000)?

To increase by an eighth (12.5%) we simply multiply by 1.125. So we can say (previous year’s Inventory costs)  x 1.125 = £11,410. Rearranging we have previous year’s inventory costs = (£11,410 ¸ 1.125) = £10,142,222

Thus the correct answer is £10.14 million
110)

Which cost changed by the second largest percent from 2008 to 2010?

Step 1 – calculate the % change for each of the 6 costs between the years 2008 to 2010.

Staff costs: 215 / 248 = 0.867 ; 13.3% decrease
Property depreciation: 132 / 112 = 1.179 ; 17.9% increase
Inventories: 16,420 / 11,842 = 1.387 ; 38.7% increase
Loan impairment: 22 / 9 = 2.44 ; 144.4% increase
Other expenses: 502 / 357 = 1.406 ; 40.6% increase

Note: be careful to note the question asks for “the second largest”. It is a common mistake to overlook this and select the largest increase.

Thus the correct answer is Other expenses

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