8: 18 :: 27 : ?
(1) 55 (2) 54 (3) 81 (4) 84
pls provide the correct answer with reason.
Answers
Answer:
Answer is 84
Explanation:
here the sequence goes as-
2^3 : 2^4+2 : : 3^3 : 3^4 +3
This explanation is for number analogy.
As for mathematical answer.
product of extreme=product of inner
=> answer= 27 * 18 /8= 60.75...
8:18 :: 27:84
The correct answer is (4) 84
Given,
8: 18 :: 27 : ?
To Find,
the value in place of ?
Solution,
This is an example of number analogy.
In questions involving numerical analogies, there will be a pair of numbers with a specific mathematical connection.
In order to locate the missing similar term in the following set of numbers, you must recognize this relationship and use it.
The given relationship is 8:18 :: 27 : ?
We find the missing number using the concept of prime factorization.
Before that, the relationship could be rewritten as 8 : (16 + 2) :: 27 : ?
⇒ 8 = 2*2*2 = 2^3
⇒ 16 = 2*2*2*2 = 2^4
⇒ 27 = 3*3*3 = 3^3
Therefore the relationship could be expressed as follows:
⇒ 2^3 : (2^4 + 2) :: 3^3 : ?
Hence, the relationship is a^3 : a^4 + a.
Therefore, the missing value is 3^4 + 3 = 84
⇒ 8:18 :: 27:84
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