Question

12:864::18: ? A) 1624 B) 1824 C) 1260 D)2916

Answer 1

Given :- 12:864::18:? A) 1624 B) 1824 C) 1260 D) 2916

Solution :-

Logic :- a³/2 = Result .

Explanation :-

→ 12 : 864

→ (12³/2) : 864

→ 1728/2 : 864

→ 864 : 864 .

similarly,

→ 18 : ?

→ (18³/2) : ?

→ 5832/2 : ?

→ 2916 : ?

therefore, Option (D) 2916 is correct answer .

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Answer 2

Given :   12:864::18:?  

To Find :  What replaces ?  

A) 1624 B) 1824 C) 1260 D) 2916

Solution:

12:864

864 = 12 * 12 * 12 / 2  

=> 12 * 12 * (12/2)  = 864

a : b

=> b = a * a * (a /2)

18:?

=> ?  = 18 * 18 * (18/2)

=> ? = 18  * 18 * 9

=> ? = 18 * 162

=> ?  =  2916

Hence correct option is 2916

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