Five children were administered psychological tests to know their intellectual levels . In the report psychogists point that child A is less intelligent than child B . The child C is less intelligent then D , The child B is less intelligent then child C and child A is less intelligent than child E . Which child is most intelligent ?
Step-by-step Solution:
To find the most intelligent child, we will translate each statement into a logical inequality, where ">" means "is more intelligent than".
We can combine the first three statements to form a clear ranking for four of the children:
Since D > C, C > B, and B > A, we can create the following chain:
D > C > B > A
The only information about child E is that E > A. This means E is more intelligent than A, but it does not tell us how E's intelligence compares to B, C, or D. For example, E could be more intelligent than D, or E could be less intelligent than D.
Based on our chain, D is more intelligent than C, B, and A. Thus, D is a candidate for the most intelligent child. However, because the relationship between D and E is not defined, E could also be the most intelligent child (for instance, if E > D). Since we cannot be certain which of the two is more intelligent, the most intelligent child is either D or E.