Remainders

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Remainders

by swerve » Sat Sep 05, 2020 8:08 am

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Your Answer

A

B

C

D

E

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Each of the following numbers has a remainder of 2 when divided by 11 except:

A. 2
B. 13
C. 24
D. 57
E. 185

The OA is E

Source: Manhattan Prep
Source: — Problem Solving |

Junior | Next Rank: 30 Posts
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Re: Remainders

by r3shabh » Sat Sep 05, 2020 8:40 am
2/11 leaves remainder 2 ( property that any number smaller than divisor will have itself as remainder)
same is for (B), (C),(D)
Hence E is the answer

Junior | Next Rank: 30 Posts
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Re: Remainders

by dollydevashryee » Sat Sep 05, 2020 2:47 pm
2 = 11*0 + 2
13 = 11*1 + 2
24 = 11*2 + 2
55 = 11*5 + 2
2, 13, 24 and 55 all have reminders of 2 when divided by 11. Therefore, E -> 185 must not have a reminder of 2 when divided by 11.