Numerical Reasoning Test 1 Nlng Job

The absolute range in price is calculated as the difference between the maximum price and the minimum price over the year.
Huver Co.: \(1{,}360 - 860 = 500\).
Drebs Ltd: \(22 - 11 = 11\).
Fevs Plc: \(1{,}955 - 1{,}242 = 713\).
Fauvers: \(|464 - 724| = 260\).
The largest of these values is 713, showing that Fevs Plc experienced the widest variation in price over the last year.

Fevs Plc shows a 9% decrease today, so yesterday’s price is found by reversing the decrease:
\(\text{Yesterday’s price of Fevs} = \dfrac{1{,}586}{0.91} \approx 1{,}742.86\).
Cost of 50 Fevs shares yesterday:
\(50 \times 1{,}742.86 = 87{,}142.86\).

Steapars shows a 1% increase today, so yesterday’s price is:
\(\text{Yesterday’s price of Steapars} = \dfrac{2{,}537}{1.01} \approx 2{,}511.88\).
Cost of 100 Steapars shares yesterday:
\(100 \times 2{,}511.88 = 251{,}188\).

The difference in cost is:
\(251{,}188 - 87{,}142.86 \approx 164{,}045\).

A 40% increase means today’s price is \(1.4\) times the price one month ago.
Let the price one month ago be \(x\). Then:
\(1.4x = 18\).
Solving gives:
\(x = \dfrac{18}{1.4} \approx 12.86\).
This represents the original share price before the increase.

The total annual dividend per share is the sum of the interim and final dividends.
For Drebs Ltd:
\(0.44 + 1.12 = 1.56\) Euros per share annually.
For 1,550 shares, the total dividend is:
\(1.56 \times 1{,}550 = 2{,}418\) Euros.
This gives the full annual dividend payable.

First, calculate the total value of the shares in Euros.
Today’s price of one Drebs Ltd share is 18 Euros.
Value of 250 shares:
\(250 \times 18 = 4{,}500\) Euros.

Given the exchange rate of 1.15 Euros to £1, convert Euros to Pounds:
\(\dfrac{4{,}500}{1.15} \approx 3{,}913\).
This is the value of the shares in Pounds.

The average monthly distance travelled is 4,250 miles.
The annual distance travelled is:
\(4,250 \times 12 = 51,000\) miles.
From the fuel consumption data, the Xtam car averages 34 miles per gallon on motorways.
The annual fuel consumption is therefore:\[\frac{51,000}{34} = 1,500 \text{ gallons}\]

The cost of one Taber car is £12,500 and one Ursa car is £15,250.
The cost of one pair (one Taber and one Ursa) is:\[£12,500 + £15,250 = £27,750\]The maximum number of such pairs that can be bought with £600,000 is:\[\frac{600,000}{27,750} \approx 21.6\]Since only whole cars can be purchased, the largest possible number is 21 of each type.

The cost of a Taber is £12,500, a Velvo is £37,500, and an Xtam is £62,500.
Writing the ratio gives:\[12,500 : 37,500 : 62,500\]Dividing each term by 12,500 simplifies the ratio to:\[1 : 3 : 5\]This is already in its simplest form.

The time of the journey is 90 minutes, which is \(1.5\) hours.
The distance travelled is:\[34 \times 1.5 = 51 \text{ miles}\]From the fuel consumption data, the Tink car averages 34 miles per gallon in city driving.
The fuel used is therefore:\[\frac{51}{30} = 1.5 \text{ gallons}\]

From the fuel consumption data, the Velvo car averages 35 miles per gallon.
The total fuel needed is:\[\frac{1,500}{35} = 42.857 \text{ gallons}\]The total cost of petrol is therefore:\[42.857 \times 4.75 = 203.57\]Rounded to the nearest pound, this is approximately £204.