Dragnet Numerical Reasoning Questions and Answers


Fig 1.13


61)

If the percentage changes in expenses that each Department exhibited between Quarters 3-4 continued into the first quarter of the next year, what would be that quarter’s total expenses (to the nearest £100)?

Step 1 – Calculate the % change by Department between Quarters 3-4
HR: (1,346 – 1,305) / 1,305 = 3.14%. Note: some people find it quicker to calculate 1,346 ¸ 1,305 = 1.0314
Marketing: (4,309 – 3,652) / 4,309 = 17.99%
Sales: (5,245 – 5,091) / 5,245 = 3.02%
IT: (956 – 938) / 956 = 1.92%
Finance: (4,463 – 4,545) / 4,463 = - 1.80%
R&D: (1,821 – 1,755) / 1,821 = 3.76%

Step 2 – Calculate the next quarter’s expenses for each department
HR: 103.14% x 1,346 = 1,1388
Marketing: 4,309 x 117.99% = 5,084
Sales: 5,245 x 103.02% = 5,403.7
IT: 956 x 101.92% = 974
Finance: 4,463 x 98.2% = 4,383
R&D: 1,821 x 103.76% = 1,889

Step 3 - Calculate the next quarter’s total expenses
1,388 + 5,084 + 5,404 + 974 + 4,383 + 1,889 = £19,122

Thus the correct answer is (B), £19,100
62)

The Finance Department has receipts for £14,476 of its annual expenses. What percentage of the Finance Department’s annual expenses do not have receipts?

Step 1 – Total the Finance Department’s expenses for all 4 quarters
4,257 + 4,830 + 4,545 + 4,463 = 18,095

Step 2 – Calculate the % for which there are receipts
14,476 / 18,095 = 80%

Step 3 - Calculate the % for which there are no receipts
100 – 20 = 20%

Thus the correct answer is (D), 20%
63)

60% of the Sales Department’s budgets for Quarters 1 and 4 was for attending a Sales Conference. The remainder of the budget was split equally between accommodation and travel costs. What were the Sales Department’s
travel costs for Quarters 1 and 4 combined?

Step 1 – Calculate the % of budget for travel costs
100% - 60% = 40%
40% / 2 = 20%

Step 2 – Calculate the figure that this % represents
20% x (6,825 + 5,245) = 20% x 12,070 = £2,414

Thus the correct answer is (A), £2,414
64)

If the annual expense budget was evenly allocated for each Quarter, which Department is under budget by the highest amount in Quarter 4?

Step 1 – Calculate the quarterly expense budgets for each Department (excluding IT which is
not shown in the answer options)
HR: 6,500 / 4 = 1,625
Marketing: 16,000 / 4 = 4,000
Sales: 22,500 / 4 = 5,625
Finance: 20,000 / 4 = 5,000
R&D: 6,000 / 4 = 1,500

Step 2 – Compare to the Quarter 4 figures for each Dept.
HR: 1,625 – 1,346 = £279
Marketing is over budget
Sales: 5,625 – 5,245 = £380
Finance: 5,000 – 4,463 = £537
R&D is over budget

Thus the correct answer is (D), Finance

Fig 1.12


 


65)

The profit made from selling cameras online compared to the High Street is in the ratio 9:7, and 15% of online camera sales is profit. What is the 2011 profit for High Street camera sales?

Step 1 – Calculate the profit for online camera sales
15% x £553,000 = £82,950

Step 2 – Calculate the profit for High Street camera sales
£82,950 x 7 / 9 = £64,517

Thus the correct answer is (B), £64,517

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