Assessment centres are often used in selection processes to give hiring managers the opportunity to observe candidates in ‘real work’ scenarios, testing the competencies that they are assessing beyond just interviews and in group activities.

At Practice Aptitude Tests, we were interested to find out which psychometric questions no-one can answer. We’ve been through thousands of tests and here we reveal the hardest numerical, verbal and diagrammatic reasoning questions. Take a look and see if you can join the few and answer them correctly.

Q1) Citizen’s arrests are rarely carried out because of the risks involved.

A) True
B) False
C) Cannot Say


By UK law, anybody can make a citizen’s arrest. The circumstances under which a citizen’s arrest can be made include if an indictable offence is witnessed, or if you have reasonable suspicion that a person is committing one. The person being arrested must be told what is happening, and can be restrained using “reasonable force”. Once the arrest has been made, the individual must be brought into police custody immediately. A citizen’s arrest must only be carried out when it is not reasonably practical for a police officer to make the arrest, or when the perpetrator is causing physical injury or damaging property. The word “reasonable” is open to interpretation. Those who have undertaken citizen’s performing arrests can find themselves facing charges as a result of their actions - for example, if the perpetrator is under age or is proven innocent, or if the force used is deemed unreasonable.

Citizen’s arrests tend to be unpopular with the police because people may put themselves in harm’s way. While citizen’s arrests are regularly carried out by Police Community Support Officers (PCSOs) and store detectives, these individuals have received special training. A citizen’s arrest is certainly not something to undertake lightly, especially as it may be difficult to assess whether the action is justifiable in the heat of the moment.


Correct Answer: False. The passage says that they are “regularly carried out by Police Community Support Officers (PCSOs), store detectives and volunteer crime patrollers”.


1,159 takers, 257 correct, 902 wrong, 22% success

Q2) Which is the next logical image in the sequence?

A) Set A
B) Set B
C) Neither Img


Correct Answer: Set A. Since the central figure is a circle.


646 takers, 158 correct, 488 wrong, 24% success

Q3) A company reports an annual profit after tax of $450,000,000 on revenues of $5,000,000,000 (5 billion). In %, what is the difference between this company’s performance and that for the industry?

A) 3.2%
B) 3.7%
C) 4.5%
D) 5.3%


Correct Answer: B. Step 1. Calculate Net Margin for company = 9% ($450M / $5,000M)

Step 2. Calculate Net Margin for industry
Quarter 1 36,500 X .22 = 8,030 X 5.98% = $480M
Quarter 2 36,500 X .28 = 10,220 X 4.98% = $509M
Quarter 3 36,500 X .3 = 10,950 X 4.98% = $545M
Quarter 4 36,500 X .2 = 7,300 X 5.28% = $385M

Step 3. Calculate total new margin for industry = (480+509+545+385) = $1,919M = 5.3%

Step 4. Calculate percentage difference between company and industry = 9% - 5.3% = 3.7%


600 takers, 156 correct, 444 wrong, 26% success

So there you go - those were some of the hardest psychometric questions ever written. If you didn’t answer them correctly, don’t panic, you’re not alone. But perhaps, now is the time for some practicing!