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Sub 505 (Easy)|   Non-Math Related|                  
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An archaeologist studying Artifacts A–D is interested in whether “Artifact C is older than Artifact A.”

Statements:

1) Artifact A is older than Artifact B. => {A>B}

2) Artifact A is older than Artifact D. => {A>D} (Assertion regarding D is not asked in question, Hence INVALID)

3) Artifact B is older than Artifact A. => {B>A}

4) Artifact B is older than Artifact D. => {B>D} (Assertion regarding D is not asked in question, Hence INVALID)

5) Artifact C is older than Artifact D. => {C>D} (Assertion regarding D is not asked in question, Hence INVALID)

6) Artifact C is older than Artifact B. => {C>B}

Let say A>B and C>B (from 1st and 6th statement) => A/C>B
(But who among A and C is Bigger? Clearly not identifiable)

Now take other statements B>A and C>B (statement 3 and statement 6) => C>B>A (hence we know Artifact C is definitely greater than A)

=>> Assertion involving Artifact A: Statement 3: Artifact B is older than Artifact A. => {B>A}

=>> Assertion involving Artifact C: Statement 6: Artifact C is older than Artifact B. => {C>B}

Using statement 3&6 we can conclude that Artifact C > Artifact A // Answer.

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1. Artifact A is older than Artifact B. -
It implies A>B. Even if there is any statement with the following condition C>B, we can't conclude the relationship between A and C. Hence Ignore

2. Artifact A is older than Artifact D.
It implies A>D. Even if there is any statement with the following condition C>D, we can't conclude the relationship between A and C. Hence Ignore

3. Artifact B is older than Artifact A.
It implies B>A. Look for statement C>B. You will see that the statement 6 implies this condition. So keep 3 and 6

4. Artifact B is older than Artifact D.
Ignore, it doesn't have any of the Artifact A and C

5. Artifact C is older than Artifact D.
It Implies C>D, We don't have any statement with the following condition D>A. Hence Ignore

6. Artifact C is older than Artifact B.

Statement 3- Assertion involving Artifact A.
Statement 6- Assertion involving Artifact C
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Artifact C is older than Artifact A?

Artifact A is older than Artifact B.
revenrse what we want in E choice

Artifact A is older than Artifact D.
Reverse of what we want in D choice

Artifact B is older than Artifact A.--CORRECT (Assertion involving Artifact A)
matches with E choice

Artifact B is older than Artifact D.
irrelevant

Artifact C is older than Artifact D.
then D should be older than A

Artifact C is older than Artifact B-CORRECT( Assertion involving Artifact C)
then B should be older than A
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Official Explanation

We are asked to select an assertion pertaining to Artifact A and an assertion pertaining to Artifact C that together imply the assertion “Artifact C is older than Artifact A.”

An assertion that Artifact A is older than one of the three other artifacts will not, together with any of the assertions involving Artifact C, imply the assertion “Artifact C is older than Artifact A.” Therefore, the assertion involving Artifact A must be an assertion that one of the other artifacts is older than Artifact A. Only the third option, “Artifact B is older than Artifact A,” is such an assertion.

Given the assertion that “Artifact B is older than Artifact A,” the assertion involving Artifact C that “Artifact C is older than Artifact B” implies “Artifact C is older than Artifact A.” None of the other pairs of options would together imply that “Artifact C is older than Artifact A.”

Assertion involving Artifact A: Artifact B is older than Artifact A.
Assertion involving Artifact C: Artifact C is older than Artifact B.
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