SHL Numerical Reasoning Test Questions [2024]

If it costs Bengur £13,500 to make a sports car and it is sold for £25,000, what is the profit for the Bengur sports car division?

 Please mark the most relevant answer.

A. £1.4 billion

B. £1.51 billion

C. £1.89 billion

D. £2.89 billion

E. Cannot Say

Answer:

First, find the number of sports cars sold by Bengur. According to the chart, Bengur made £3.5 billion in revenue from sports car sales. The question states that the market price of each car is £25,000; thus, the number of sports cars sold by Bengur is 3,500,000,000 / 25,000 = 140,000.

Next, find the profit from selling a single sports car. If each car costs £13,500 to make and generates a revenue of £25,000, then the profit for each car is:
Profit = Revenue – Cost = £25,000 - £13,500 = £11,500.

Finally, find the total profit of the sports car division by multiplying the profit per car by the total number of sports cars sold:
11,500 x 140,000 = £1.61 billion

Thus, the correct answer is £1.61 billion

By how much does the value of extracted Silver per employee exceed that of Copper?

 Please mark the most relevant answer.

A. $5,859

B. $54

C. $35,789

D. $554

E. Cannot Say

Answer:

The value of extracted Silver per employee = 3,500,000,000 / 1,012,000 = $3458
The value of extracted Copper per employee = 3,587,000,000 / 1,235,000 = $2904

To find by how much the overall value of extracted Silver per employee exceeds that of Copper, subtract the latter from the first: 3458-2904 = $554.

The value of extracted Silver is $554 higher than the value of extracted Copper per employee.

The correct answer is (D) - $554

In Andy’s closet, for every one white shirt there are two black trousers, three red shirts, and five grey socks. What is the ratio of shirts to other clothing items?

 Please mark the most relevant answer.

A. 1:10

B. 4:11

C. 4:7

D. 7:4

E. 11:4

Answer:

The simplest solution to a problem like this is to assume the smallest numbers possible. In this case, if there is one white shirt, there are two black trousers, three red shirts, and five grey socks. That means there are four shirts in total (one white and three red) and seven non-shirts (two black trousers and five grey socks). Therefore, the ratio of shirts to other clothing is 4:7.

The correct answer is (C) – 4:7

You recently moved and decided to buy new utensils. Calculate the percentage each type of utensil will cost you if you bought a total of 88 utensils. (rounding to the nearest whole number only in the last step).

*Use whole digits only.

**Note: In the interactive format of the test, you will have to adjust the pie chart based on
your calculations.

Answer:

First, we can see that there is missing data regarding tablespoons, so to calculate the required percentages, we must first retrieve the relevant data:

Number of tablespoons purchased: 88-25-28-22=9
Price of single tablespoon: $3.5+$0.5=$4

Now that we have all of the data we need, we want to calculate the total cost of each utensil so we can calculate the total cost of all utensils, and through that the percentage that each utensil accounts for.

Total cost of forks: 25*3=$75
Total cost of knives: 28*3.5=$98
Total cost of teaspoons: 26*2.5=$65
Total cost of tablespoons: 9*4=$36

Total cost of utensils: 75+98+65+36=$274

Now that we have calculated the cost of each utensil, we can calculate what percentage of the total cost each utensil is worth:

Fork cost percentage: (75/274)*100=27.37% ≈27%
Knife cost percentage: (98/274)*100=35.77% ≈36%
Teaspoon cost percentage: (65/274)*100=23.72% ≈24%

Note that we only need to calculate 3 percentages, and we can get the final percentage by subtracting the 3 we calculated from the 100% total.

Arrange the number of clients who were acquired by each source and the percentages accounted for by the Southern and Northern regions.

Answer:

Full Solution

Pretty similarly to question #3 in this guide – this one is a classic case of systems of equations used to find several variables.

In this case, we have 6 variables – let’s arrange them in a table for convenience:

Variable	Region	Method
NR	Northern	Referrals
NC	Northern	Cold Calls
NI	Northern	Client-Initiated
SR	Southern	Referrals
SC	Southern	Cold Calls
SI	Southern	Client-Initiated

Note: This table is for the sake of explanation only. During the real test, don’t spend time arranging it, and simply name the variables as is most convenient for you.

Out of the 4 data items, the first and last ones on the list are the best place to start, as they can immediately reveal the number of clients in each method.

Let’s dismantle these pieces of data into their components:

A total of 540 new clients were acquired this year

Referrals accounted for 1/3 of all new clients

 

Therefore, Cold Calls and Client-Initiated account for the remaining 2 thirds of new clients:

 

Cold Calls + Client-Initiated = 540 - 180  = 360

Using the last bit of information - Cold Calls accounted for twice as many as Client-Initiated:

2 (Client-Initiated) + Client-Initiated = 360

Client-Initiated = 120 Clients

Cold Calls = 240 Clients

So, we can now rearrange the graph as:

Tip: The pale grey lines above the graph indicate that you can change the value below the line. In this case, the total value of all bars can be changed, but the division of Client Initiated between Northern (60%) and Southern (40%) is pre-determined.

 

Now, let’s form some other equations using the other data items.

We should try and focus on data items containing the least variables. Data item 2 is the best for this purpose:

The Northern region produced 40% more Referrals than the Southern region.

Or in the form of an equation:

(I) NR = 1.4 x SR

We already know the total number of referrals:

(II) NR + SR = 180

Plugging (I) into (II):

2.4 x SR = 180

SR = 75

NR = 105

Converting to percentages (Don’t forget that!):

And again, we can rearrange the graphs as:

It is time to approach the last piece of information – data item 2:

The Southern region produced 84 more clients through cold calls than those that were Client Initiated.

Or in the shape of an equation:

SC = SI + 84

Since we already know the percentages in the Client-Initiated bar, we can easily deduce SI:

SI = 0.4 x 120 = 48

Plugging into the previous equation:

SC = 48 + 84 = 132

Again, converting into percentages:

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And rearranging the graph to its final position.

Pass the SHL Numerical Test

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