Dragnet Numerical Reasoning Questions and Answers


Fig 1.11


71)

If, in Year 3, Consultancies A to D represent 60% of the marketplace by value of sales, what is the value of the marketplace excluding Consultancies A-E?


Step 1 – Calculate the total sales for Consultancies A to D in Year 3
26 + 28 + 30 + 18 = 102

Step 2 – Calculate the part of the market that excludes Consultancies A-E
We are told that 102 = 60%
So 100% = 102/60 x 100 = 170
Now 170 – (26 + 28 + 30 + 18 + 27) = 41 (100,000s) = 4.1 million

Thus the correct answer is (B), 4.1 million

72)

Next Year’s turnover projection for Consultancies A-E combined represents what proportional change on Year 4’s turnover for Consultancies A-E?


Step 1 – Calculate Year 4’s total
24 + 35 + 24 + 22 + 26 = 131

Step 2 – Calculate Next Year’s Projected total turnover
22 + 26 + 35 + 24 + 30 = 137

Step 3 – Calculate the % increase
6 / 131 = 4.6%

So the correct answer is (C) 4.6%

Fig 1.10


73)

Which currency has shown the greatest proportionate change in value between Weeks 1 and 4?


Step 1 – Calculate the % change in value for each currency between Weeks 1 and 4
Euro: (1.34 – 1.20) / 1.20 = 0.117. Note: some people find it quicker to calculate 1.34 / 1.2 but
both methods produce the same answer.
US $: (1.84 – 1.64) / 1.64 = 0.122
Japanese Yen: (135.0 – 123.2) / 123.2 = 0.096
South African Rand: (13.6 – 13.4) / 13.4 = 0.015

Thus the correct answer is (B), US $

74)

During Week 1 a traveller splits £2,100 equally into US $, Japanese Yen and South African Rand. How many £ does the traveller have on Week 3 if all the currencies are converted back into £ and he is charged a 5% fee for each
transaction from one currency into another (to the nearest £100)?


Step 1 - splits £2,100 equally into US $, Japanese Yen and South African Rand
£2,100 / 3 = £700

Step 2 – Calculate the amount of US $, Japanese Yen and South African Rand (Week 1)
US $: £700 x 1.64 = $1,148
Japanese Yen: £700 x 123.2 = 86,240 Yen
South African Rand: £700 x 13.4 = 9,380 Rand

Step 3 – Deduct a 5% charge for each currency
$1,148 x .95 = $1,090.6
86,240 Yen x .95 = 81,928 Yen
9,380 Rand x .95 = 8,911 Rand

Step 4 – Convert back into £ (Week 3)
$1,090.6 / 1.74 = £626.78
81928 Yen / 134.8 = £607.77
8911 Rand / 13.2 = £675.08
Total = £1,909.626.

Deduct a second 5% for the transaction fee. £1,909.63 x 0.95 = £1,814 = £1,800 (to the nearest £100)

Thus the correct answer is (B), £1,800

75)

In Week two 10,000 Japanese Yen is converted into £. In Week 5 this is converted into what value in Euros?


Step 1 – Convert into £ (using Week 2 figures)
10,000 / 128.6 = £77.76

Step 2 – Convert into Euros (using Week 5 figures)
£77.76 x 1.28 = 99.53

Thus the correct answer is (C), 99.53