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Previous Year Question (PYQs)



Consider the given number $(45)_y$ where $y$ is the base of the number. Some of the possible values of $y$ are given below.


(A) 5

(B) 6

(C) 7

(D) 8


Choose the correct answer from the options given below :






Solution

In base $y$, digits must be less than base.

Number $(45)_y$ has digit 5.

Thus

$y>5$

Possible bases:

$6,7,8,\dots$

Given options:

6, 7, 8

Thus

(B), (C), (D)



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