Question

A question from reasoning...find the relationship... replace the '?'

1 : 8 : : 16 : ?

options-:

A)25
B)64
C)125. this one is answer but tell me how??
D)54

Answer 1

hey friend!☺️

the answer is C.125 because ..

(1)^2:(2)^3::(4)^2:(5)^3
1:8::16:125

thank you

Answer 2

Answer:

Required missing term is 125.

So,1 : 8 : : 16 : 125

Step-by-step explanation:

Given, 1 : 8 : : 16 : ?

We want to find the missing term.

Here given

$1\ratio8 \\ = {1}^{2} \ratio {2}^{3} \\ = {1}^{2} \ratio {(1 + 1)}^{3}$

According to question,

${x}^{2} \ratio {(x + 1)}^{3}$

So,

$16\ratio \: y = {4}^{2} \ratio {(4 + 1)}^{3} \\ = {4}^{2} \ratio {5}^{3} \\ = 16 \ratio \: 125$

So, required value of y is 125.

This is a problem of General inteligence part of Mathematics.

Some important Mathematics formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

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