Dragnet Numerical Reasoning Questions and Answers


Fig 1.15


56)

For the five products combined there was a difference between total annual Sales and the total annual Sales Target. How did this difference compare for the US and the EU?


Step 1 – sum the Jan-June sales (US) and the July-Dec sales (US)
325.3 + 320 =£645.3 million

Step 2 – calculate the difference compared to the US target (£650 million)
650 –645.3 = £4.7 million

Step 3 – sum the Jan-June (European) and the July-Dec sales (EU)
445.2 + 454.4 = £899.6 million

Step 4 – calculate the difference compared to the European target (£910 million)
910 – 899.6 = £10.4 million

Tip: in this question, it would have been possible to answer the question after working
out just the US difference, but this is often not the case.

Thus the correct answer is £4.7 million (US); £10.4 million (EU)

Fig 1.14


57)

If in Year 2 the amount invested in Year 1’s Fixed Interest fund had been sold and converted into European Equity funds, what is the value of European Equity funds in Year 2? (Assume no charges are incurred).


Step 1 – Calculate the Year 2 amount of European Equity funds
European Equity: 12% x $4.5 million = $540,000

Step 2 - Sum the Year 1 Fixed Interest and Year 2 European Equity investments
$800,000 + $540,000 = $1,340,000

Thus the correct answer is (E), $1.34 million

58)

If the proportional change in the Growth Fund between Year 1 and Year 2 continued over subsequent years, what would be the projected Growth Fund value in Year 6?


Step 1 – Calculate the proportional change in the Growth Fund between Year 1 and 2
(4.8 – 4.5) / 4.8 = - 6.25%

Step 2 – Apply this % to calculate the growth Fund value each year up to Year 6
Year 3: 93.75% x 4.5 = 4.2188
Year 4: 93.75% x 4.2188 = 3.955
Year 5: 93.75% x 3.955 = 3.708
Year 6: 93.75% x 3.708 = $3.476 million

Thus the correct answer is (A), $3.48 million

59)

Which type of investment shows the largest difference between Year 1 and Year 2 in the proportion it contributed to the total Growth Fund?


Step 1 – calculate the proportion of the fund that each investment made up in Year 1
Gilts = 0.2 / 4.8 = 4.17%
Fixed Interest = 0.8 / 4.8 = 16.67%
North American Equities = 0.4 / 4.8 = 8.33%
European Equities = 0.6 / 4.8 = 12.5%
UK Eequities = 1.6 / 4.8 = 33.33%
Pacific Rim Equities = 1.2 / 4.8 = 25%

Step 2 – compare these figures to the % figures shown in Year 2’s pie-chart
Gilts = 4.17% vs. 4%
Fixed Interest = 16.67% vs. 14%
North American Equities = 8.33% vs. 8%
European Equities = 12.5% vs. 12%
UK Equities = 33.33% vs. 40%
Pacific Rim Equities = 25% vs. 22%

Thus the correct answer is (D), UK Equities

60)

What was Year 2’s decrease in the amount invested in North American and European Equities compared to Year 1?


What was Year 2’s decrease in the amount invested in North American and European Equities compared to Year 1?