16: 3721 :: 72 :
(A) 5184
(B) 8454
(C) 729
(D) 1724
Answers
Qᴜᴇsᴛɪᴏɴ :-
16: 3721 :: 72 :
(A) 5184
(B) 8454
(C) 729
(D) 1724
Sᴏʟᴜᴛɪᴏɴ :-
it is a Question of Reasoning of chapter Analogy ..
we have to find Logic between first two numbers and than we have to do Exactly same in the next two numbers.
Logic :- (ab) : (ba)²
Check :-
→ 16
Reciprocal
→ 61
Square now,
→ (61)²
→ 3721 .
Therefore , we will do Exactly same in next Now,
→ 72
Reciprocal
→ 27
Square now,
→ (27)²
→ 729 .(C) (Ans.)
Hence, 729 is the correct Answer.
Question:
16: 3721 :: 72 :
(A) 5184
(B) 8454
(C) 729
(D) 1724
Answer:
(C) 729
Solution:
For solving this question ,
We have to find relation between first two numbers (terms) then have to apply the same for next numbers (terms) .
Here, We can see that
If we reverse the first number and square than we get the next number.
Let, the first number be mn i.e ➛16
Now,
we reverse the number ,
⛬ The number becomes , nm ➛61
⛬ After squaring we get , 3721
⛬ The relation ➻ (mn) : (nm)²
Now,
We have to apply the same relation to next number,
The number :- 72
let's reverse it :- 27
squaring the number we get :- (27)² ➻ 727
⛬ The correct option is : (C) 729