which of the following is an even natural numbers ?
a. 4913
b. 1331
c. 3375
d. 1728
Answers
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Answer: 1728 is an even natural number.
Step-by-step explanation:
Given: Which of the following is an even natural numbers ?
a. 4913
b. 1331
c. 3375
d. 1728
To find: We have to find which of the following is an even natural.
solution:
Step 1:We know that 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 = Even number
→ 3³ = 27 => unit digit 7 .
→ 4³ = 64 => unit digit 4 = Even number
→ 5³ = 125 => unit digit 5 .
→ 6³ = 216 => unit digit 6 = Even number
→ 7³ = 343 => unit digit 3 .
→ 8³ = 512 => unit digit 2 = Even number
→ 9³ = 729 => unit digit 9 .
→ 10³ = 1000 => unit digit 0 = Even number
So, checking given options we get,
(a) 1331
→ 1331 = Unit digit 1
So,
→ Cube root of 1331 = Unit digit 1 ≠ Even number .
b) 4913
→ 4913 = Unit digit 3
So,
→ Cube root of 4913 = Unit digit 7 ≠ Even number .
c) 3375
→ 3375 = Unit digit 5
So,
→ Cube root of 3375 = Unit digit 5 ≠ Even number .
d) 1728
→ 1728 = Unit digit 8
So,
→ Cube root of 1728 = Unit digit 2 = Even number .
Hence, we can conclude that (d) 1728 is the cube of a even natural number .
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