Question

If \[211:333::356:?\]
A. \[358\]
B. \[359\]
C. \[423\]
D. \[388\]
E. \[415\]

Answer 1

Hint: This is the question of Mental ability, logical reasoning. Despite it seems like that of the ratio and proportion. We have to find out the number which is related to \[356\] similarly in the way as \[333\] is related to \[211\] . We should go for the provided option to get the precise relation between the numbers.

Complete step by step solution:
We are given with:
  \[211:333::356:?\]
We have to find the number which should be in the place of question mark
Firstly we have \[211:333\]
Adding the digits of the Numbers we get,
 \[211{\text{ }} \Rightarrow 2 + 1 + 1 = 4\]
Similarly adding digits of \[333\] we obtain
 \[333{\text{ }} \Rightarrow 3 + 3 + 3 = 9\]
Now, the difference between the sums of the digits of \[333\& 211\] is
 \[9 - 4 = 5\]
Similarly the sum of digits of \[356\] is
 \[356{\text{ }} \Rightarrow 3 + 5 + 6 = 14\]
Now we have to get the number from the given options whose sum of digits is \[5\] more than the sum of the digits of \[356\] that is \[5\] more than \[14\] .
So the sum of digits of the required number must be equal to \[5 + 14 = 19\]
From the options given we have no numbers other than \[388\] such that whose digit sum gives 19,
Adding the digits of \[388\] , we get
 \[388 \Rightarrow 3 + 8 + 8 = 19\] which is the required result.
Hence the required number is \[388\]
Hence option D is correct.
So, the correct answer is “Option D”.

Note: In questions of logical reasoning and mental ability one should each possible aspects to get the exact solution. Aspects may be of addition of numbers, subtraction, ratio, difference between numbers or whatsoever. The relation between numbers may be related in either of the aspects. Options are the key point for such type of questions as it gives the clue about the relation.