UPSC Prelims 2012·CSAT·Logical Reasoning·Deductive Logic

Examine the following statements: 1) Either A and B are of the same age or A is older than B 2) Either C and D are of the same age or D is older than C 3) B is older than C Which one of the following conclusions can be drawn from the above statements?

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  1. AA is older than B
  2. BB and D are of the same age
  3. CD is older than C
  4. DA is older than CCorrect

Explanation

To solve this, let us break down the statements into simple logical relationships. Statement 1 tells us that A is greater than or equal to B. Statement 2 tells us that D is greater than or equal to C. Statement 3 tells us that B is older than C. Now, we combine Statement 1 and Statement 3. Since A is either older than or equal to B, and B is strictly older than C, it logically follows that A must be older than C. This makes Option D a definite conclusion. Option A is incorrect because A could be the same age as B. Option B is incorrect because we have no information comparing B and D. Option C is incorrect because D could be the same age as C. Therefore, only Option D is logically certain.
Logical Reasoning: Examine the following statements: 1) Either A and B are of the same age or A is older than B 2) Either C and D are of th

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