Job interviews can cause nerves and mind-blanks in even the most confident people, but some companies want to know a lot more than your experience at the job and employment history – they want to know how you think and react to problems.

To try and understand their candidates’ thinking processes, some companies ask almost impossible questions, often with no correct answer, and job interview review site Glassdoor has collected some of the toughest asked to British job-hunters over the last 12 months.

Can you calculate how many tennis balls are used during the course of Wimbledon? Asked at Accenture, analyst candidate
A: 54,250, according to the Wimbledon website

Estimate the total number of cars in the UK. Asked at Barclays Capital, trading analyst candidate
A: 31.9m according to the industry website SMMT

How many calories are there in a supermarket? Asked at Google, product manager candidate

How would you sell a fridge to an Eskimo? Asked at Harrods, temporary sales associate candidate

What would you take to a lonely island with you and why? Asked at Urban Outfitters, sales assistant candidate

Is Batman a superhero? Asked at AlphaSights, support engineer candidate

You have 17 red and 17 blue balls, and you remove two at a time. If the two are the same colour, add in one extra blue ball. If they are different colours, add in an extra red ball. What colour is the final ball removed? Asked at Geonomics, software engineer candidate
A: Red

What cartoon character would you be and why? Asked at Asda, administrative assistant candidate

What is the wildest thing that you have done? Asked at Metro Bank, teller candidate

What was your opinion of the film The Blair Witch Project? Asked at Jefferies & Company, data analyst candidate

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