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Dragnet Numerical Reasoning Questions and Answers


Fig 1.16


 


51)

At current prices, if the owner of 150,000 Studt Systems shares collected the dividend then sold the shares, how many Tombe shares could they buy with the proceeds (to the nearest 10,000)?

Step 1 – Calculate the Company Share value including the dividend
150,000 x (3.00 + 0.08) = £462,000

Step 2 – Calculate the number of Tombe shares
462,000/1.85 = 249,730

So the correct answer is 250,000
52)

A rights issue brings an additional 10% of Studt Systems shares to the market. If the current price per share drops by 8%, what is Studt Systems’ new company value (to the nearest £million)?

Step 1 – Calculate the new number of company shares
55 x 110% = 60.5 million shares

Step 2 – Calculate the new price
300 x 92% = £2.76

Step 3 – Calculate the Company Value
£2.76 x 60.5 million = £166.98 million = £167 million (to the nearest million)

So the correct answer is £167 million

Fig 1.15


53)

Which of the following represents the smallest amount?

Calculate each figure as follows;
77.8 – 72.2 = £5.6 million
76.5 x 0.07 = £5.355 million
78.2 – 72.7 = £5.5 million
50.5 / 6 = £8.42 million
60.5 / 6 = 10.08 million

Tip: remember to quickly re-scan the question because some people will put down the
LARGEST value (E) not the SMALLEST (B).

Thus the correct answer is 7% of Product D’s US sales (Jan-June)
54)

How much US and EU annual sales tax is due for Products B, C and D combined (to thenearest £million)?

Step 1 - Calculate the US sales tax for Products B, C, D combined.

  US annual sales US Sales tax on first £130 million
only
Products B,C, D 120.3 + 118.5 +150.6 = 389.4 130 x 0.24 = 31.2 (£million)
Total US sales tax = £31.2 million

Step 2 - Calculate the European sales tax

  EU annual sales EU sales tax
Products B,C, D 150 + 180.2 + 203.5 = 533.7 533.7 x 0.22 = 117.414 (£million)
Total EU sales tax = £117.414 million

Step 3 – calculate the total sales tax
31.2 + 117.414 = 148.614

Tip: notice as long as you check the US sales are over £130 million, you don’t actually have to calculate the total because there is no tax on sales over £130 million.

Thus the correct answer is £149 million
55)

If the annual EU sales for Products B and C both comprise online: offline sales in a ratio of 2:3 then what are the online EU sales for Products B and C combined?

Step 1 – calculate the EU sales for Products B and C
88.0 + 92.2 + 72.2 + 77.8 = 330.2 (£million)

Step 2 – use the ratio to find online sales.
online: offline = 2:3
330.2 = 2x + 3x = 5x
x = 330.2/5 = 66.04
online sales = 2x = 132.08

Tip: in practice it’s quicker to just multiply 330.2 by (2/5) to obtain the ratio.

Thus the correct answer is £132,080,000

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