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Question

(35)n,(37)n,(45)n and (51)n all are written in base n then the value of n, such that all the four numbers when written in decimal system, they must be the consecutive prime numbers :

A
n = 8
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B
n = 2
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C
n = 12
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D
n = 6
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Solution

The correct option is A n = 8
Going throught option (b) is the invalid option.
Option (d) is also wrong since (53)6 = 33 which is not a prime number and option (c) is also wrong since (53)12 = 60 + 3 = 63 which is not a prime number.
Hence option (a) is the correct. You can verify by assuming the value of n.

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