Show that 12n cannot end with the digit 0 or 1. Which among the following statement(s) is (are) true?
Exposure of silver chloride to sunlight for a long duration turns grey due to:
(i)The formation of silver by decomposition of silver chloride
(ii) Sublimation of silver chloride
(iii) Decomposition of chlorine gas from silver chloride
(iv) Oxidation of silver chloride. 1
(i) only (b) (i) and (iii) (c) (ii) and (iii) (d) (iv) only
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Answer:
Here, Number 12
n
where nϵN
Now 12
n
=(2
2
×3)
n
Now, for 12
n
to end with 0, it should have 2 as well as 5 in its prime factors. Also to end with 5, of require at least a single multiple of 5 in its prime factors, so 12
n
cannot end with the digit 0 or 5.
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