Question

496 : 204 :: 329 ': ?

Answer 1

We have:

496 : 204 : : 329 : ?

We have to find, the value of missing number (?) is:

Solution:

The pattern follow:

$x^{3}$ - 2x.

496 : 204

496 = $8^{3}$ - 2(8)

       = 512 - 16= 496

204 = $6^{3}$ - 2(6)

       = 216 - 12 = 204

329 : ?

329 = $7^{3}$ - 2(7)

       = 343 - 14 = 329

Similarly:

? =  = $5^{3}$ - 2(5)

⇒ ? = 125 - 10

⇒ ? = 110

∴ Missing number (?) = 110

Answer 2

Given :- 496 : 204 :: 329 : ?

Solution :-

In analogy we have to apply same logic in next ratio .

→ 496 = 512 - 16 => (8)³ - 2 * 8

→ 204 = 216 - 12 => (6)³ - 2 * 6

• 8 - 6 = 2 Difference

therefore,

→ 329 = 343 - 14 = (7)³ - 2 * 7

Next term will be :-

• 7 - 2 = 5

→ (5)³ - 2 * 5 = 125 - 10 = 115 (Ans.)

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