Question

Q1.Which of the following is the cube of even natural number
(a)1331
(b)4913
(c)3375
(d)1728

Answer 1

Answer:

(a) 11*11*11

Step-by-step explanation:

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Answer 2

Solution :-

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 .

Learn more :-

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