Question

Find the missing term of the pair
7528 : 5306 : : 4673 : ?
A. 2367
B. 2451
C. 2531
D. 2617

Answer 1

Hint: Here, we are given two pairs of numbers and one term of the second pair is missing. To find this term of the second pair, we need to understand the logic between the two terms of the first pair. Here, in the first pair the numbers are 7528 and 5306. The difference between these two numbers is 2222. Hence, the difference between the two terms of the second pair must also be 2222. Using this logic, we can find the missing term.

Complete step-by-step answer:
In this question, we are given two pairs of numbers and we have to find one number in the second pair which is missing.
We have to find this number based on the logic between the two numbers of the first pair.
Let us find the logic behind these two numbers of the first pair.
So, let us take the first pair. Here the two numbers are 7528 and 5306.
Here, we can see that the difference between the two numbers is 2222.
$ \Rightarrow 7528 - 5306 = 2222$
So, in the second pair also, the difference between the two numbers must be equal to 2222. Let this number be x. So, therefore the difference of 4673 and x must be equal to 2222.
$
   \Rightarrow 4673 - x = 2222 \\
   \Rightarrow x = 4673 - 2222 \\
   \Rightarrow x = 2451 \\
 $
Hence, our second pair is 4673 : 2451.

So, the correct answer is “Option B”.

Note: This is a logical question and there may be more than one correct logic for solving this question. Hence, we can say that this is a mixed sequence. And if the difference between two consecutive terms in a sequence is constant then the sequence is called arithmetic sequence.