Dragnet Numerical Reasoning Questions and Answers


Fig 1.10


76)

How much is 5,000 South African Rand worth in Week 4 in US $?

Step 1 – Convert from Rand in to £
5,000 / 13.6 = 367.65

Step 2 – Convert from £ in to US $
367.65 x 1.84 = $676.48

Thus the correct answer is (E), $676.48

Fig 1.9


77)

The current year’s entry level graduate salaries for working in logistics and retail are £25,000 and £24,000 respectively. If these sectors experience the same percentage change as the legal sector over the same period, what’s next year’s predicted entry level graduate salary in the logistics and retail sectors (to the nearest £100)?

Step 1 – calculate the % increase in legal sector salaries between the current year and next year
100% x (34.3 – 33.2)/33.2 = 3.31%

Step 2 – apply this % increase to the entry level graduate salaries (logistics)
103.31% x £25,000 = £25,828

Step 3 – apply this % increase to the entry level graduate salaries (retail)
103.31% x £24,000 = £24,794

Thus the correct answer is (D), £25,800 (logistics); £24,800 (retail)
78)

Which sector has seen the smallest percentage increase in graduate entry level salary between Year 2 and the Current Year?

Calculate the % increase for each sector

Engineering: (24.5 – 23.7)/23.7 = 3.4%
Research: (24.2 – 23.5)/23.5 = 3.0%
Consulting: (28.3 – 27.6)/27.6 = 2.5%
Legal: (33.2 – 29.8)/29.8 = 11.4%
Accounting: (27.3 – 26.6)/26.6 = 2.6%

Thus the correct answer is (C), Consulting
79)

In Year 3 a company paid the average entry graduate starting salaries when recruiting 15 graduates for a consultancy role and 6 graduates for a research role. What was the average salary per recruited graduate?

Step 1 – total the salaries for 15 graduates (consultancy)
15 x 27,000 = 405,000

Step 2 – total the salaries for 6 graduates (research)
6 x 23,500 = 141,000

Step 3 – calculate the average salary per graduate
(405,000 + 141,000)/21 = £26,000

Thus the correct answer is (A), £26,000
80)

Assume that the percentage change trends between the Current Year and Next Year continue at the same rate for a subsequent year. What’s the subsequent year’s average entry level graduate salary across the 5 sectors (to the nearest £500)?

It might be tempting to do the following calculation, however since we don’t know how many graduates there are in each sector we cannot calculate the average salary. For example if Engineering has 1,000 graduates and Research has 10, it is not true to add up the totals and divide by the number of sectors (five).

Thus we cannot tell from the data.

Don’t be tempted to do this:

Step 1 – Calculate the subsequent year’s entry level graduate salary for each sector
Step 2 – Calculate the average
Step 3 – to the nearest £500 = £28,500

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