The unit digit of the cube root of 540
a) 0
b) 1
c) 2
d) 3
Answers
Answer:
0 is the answer
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Correct Question :- The unit digit of the cube root of 540 * 50 will be :-
a) 0
b) 1
c) 2
d) 3
Solution :-
→ 540 * 50 = 27000 .
now, we know that, the unit place of the cube of a number depends on the cube of unit digit of that number.
so,
→ 1³ = 1 => unit digit 1 .
→ 2³ = 8 => unit digit 8 .
→ 3³ = 27 => unit digit 7 .
→ 4³ = 64 => unit digit 4 .
→ 5³ = 125 => unit digit 5 .
→ 6³ = 216 => unit digit 6 .
→ 7³ = 343 => unit digit 3 .
→ 8³ = 512 => unit digit 2 .
→ 9³ = 729 => unit digit 9 .
→ 10³ = 1000 => unit digit 0 .
we have to find unit digit of 27000 .
- 27000 = unit digit = 0 => unit digit of cube root also equal to 0. { 10³ = 1000 .}
therefore, we can conclude that, unit digit of cube root of (540 * 50) will equal to zero.
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