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Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at varian
Question

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) is logically TRUE.
Statements:
1. All boys are intelligent.
2. All boys are smart.
Conclusion:
1. Some boys are smart and intelligent.
2. All intelligent are smart.

A.

Neither conclusion 1 nor 2 is true.

B.

Both conclusions 1 and 2 are true.

C.

Only conclusion 1 is true.

D.

Only conclusion 2 is true.

Correct option is C

From the given statement following Venn diagram will be drawn-

Conclusion:
1. Some boys are smart and intelligent.
· Since all boys are both intelligent and smart, it logically follows that "some boys" (which includes "all boys" as a subset) are both smart and intelligent. Therefore, Conclusion 1 is true.
2. All intelligent are smart.
· The statements do not imply that all intelligent people are smart; they only state that all boys are both intelligent and smart. We do not have any information about intelligent individuals outside of the boys. Therefore, Conclusion 2 does not logically follow.
Correct answer: (c) Only conclusion 1 is true.

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