Question

9 : 343 ; 12 : ? solve and explain it , simple one

a. 729

b.1000

c.512

d.1331

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Answer 1

1000 is the right answer of this question

Answer 2

Answer:

9: 343: 12: 1331

Explanation:

9:343

Thus, 9 = 3*3

343 = 7*7*7 = $7^{3}$

Equally, 12:1331

12 = 3*4

1331 = 11*11*11 = $11^{3}$

Option (d) is chosen because of the comparison made between them as

343 is the cube of 7 which is a prime number.

1331 similarly is a cube of 11 and is also a prime number.

Definition:

Cube:

When a number is multiplied by itself twice, the result is a cube number.

Prime number:

• A natural number higher than 1 that is not the product of two smaller natural numbers is referred to as a prime number (or a prime).
• A composite number is a natural number greater than one that is not prime.
• But since it is the product of two smaller integers (2 x 2), 4, it is composite.
• Because of the basic theorem of arithmetic, which states that every natural number bigger than 1, is either a prime itself or can be factorized as a product of primes that is unique up to their order, primes play an important role in number theory.

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