Complex Arrangement
Logical Reasoning

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Common Information

There are five sets of digits - Set A, Set B, Set C, Set D and Set E as shown in given diagram. Set A contains one digit, Set B contains two digits, Set C contains three digits, Set D contains two digits and Set E contains one digit. Rearrange the digits, across the sets such that the number formed out of digits of Set C is multiple of the numbers formed from digits in the sets on either side. For example; in the given diagram, Set C is multiple of digits in Set A and Set B but not of Set D and Set E.

Table below can be scrolled horizontally

SET A SET B SET C SET D SET E
7 28 196 34 5
Q.

Common Information Question: 2/2

Which of the following pair of digits would occupy set A and E?

 A.

2 and 4

 B.

2 and 6

 C.

3 and 6

 D.

3 and 9

 E.

4 and 8

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Solution:
Option(A) is correct

We have,

Table below can be scrolled horizontally

SET A SET B SET C SET D SET E
7 28 196 34 5

Now in the first rearrangement, 7 from set A is exchanged with 2 of set B to get the following:

Table below can be scrolled horizontally

SET A SET B SET C SET D SET E
2 78 196 34 5

Now in the second rearrangement, 4 from set D is exchanged with 5 of set E to get the following:

Table below can be scrolled horizontally

SET A SET B SET C SET D SET E
2 78 196 35 5

Now in the third rearrangement, 9 from set C is exchanged with 5 of set D to get the following:

Table below can be scrolled horizontally

SET A SET B SET C SET D SET E
2 78 156 39 4

From the above analysis, we get that set A and set E contains 2 and 4.

Hence, option A is the correct choice.


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