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Bain online assessment prep

Hello, 

I am preparing for Bain’s online assessment and I don’t know how to solve the following math question. please can anyone help?

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Top answer
Deleted user
on Oct 18, 2022

Hey - The solution to 

13: Should be 1/12 - 5/10*4/9*3/8
15: Should be 20 mins - the cars collectively cover 20 miles in 10 mins and hence 40 miles in 20 mins. You need to look at the collective speed since they are going towards each other

Send me a DM, happy to chat through the answers. 

13
Pedro
Coach
on Oct 23, 2022
Bain | EY-Parthenon | Senior Coach | Principal | Recruiting Team Leader

Eishan has the right thought process, but made a mistake there.

Number of Prime numbers and Zero: 0, 1, 2, 3, 5, 7 = 6 numbers.

So you have 6 * 5 * 4 options (within prime + zero)=120. 

And 10 * 9 * 8 = 720 options in total.

So 120 / 720 = 1/6.

 

For question two, Eishan is correct. You have to add 65 mph to 55 mph = 120 mph. With an hour having 60 minutes, that's 2 miles per minute.

To be 20 miles away again, they need to travel 40 miles (20 miles to meet, and another 20 miles). If they travel 40 miles at 2 miles per minute, that's 20 minutes.

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