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Difficulty:
5%
(low)
Question Stats:
92% (01:14) correct
8%
(01:30)
wrong
based on 1907
sessions
History
Date
Time
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Not Attempted Yet
An archaeologist studying Artifacts A–D is interested in whether Artifact C is older than Artifact A.
Select an assertion involving Artifact A and an assertion involving Artifact C that together imply the assertion “Artifact C is older than Artifact A.” Make only two selections, one in each column.
Select an assertion involving Artifact A and an assertion involving Artifact C that together imply the assertion “Artifact C is older than Artifact A.” Make only two selections, one in each column.
ID: 100504
|
Assertion involving Artifact A |
Assertion involving Artifact C |
Statements |
| Artifact A is older than Artifact B. | ||
| Artifact A is older than Artifact D. | ||
| Artifact B is older than Artifact A. | ||
| Artifact B is older than Artifact D. | ||
| Artifact C is older than Artifact D | ||
| Artifact C is older than Artifact B. |
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Assertion involving Artifact A: Artifact B is older than Artifact A.
Assertion involving Artifact C: Artifact C is older than Artifact B.
So if B is older than A and C is older than B ,then it means C is older than A
Because if we select D to complete the loop then we get both A and C older than D,which doesn't solves the puzzle
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Assertion involving Artifact C: Artifact C is older than Artifact B.
So if B is older than A and C is older than B ,then it means C is older than A
Because if we select D to complete the loop then we get both A and C older than D,which doesn't solves the puzzle
Posted from my mobile device
bM22
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To Prove: Artifact C is older than Artifact A.
Of the given options: the best combination that proves the above is: Artifact C is older than Artifact B. AND
Artifact B is older than Artifact A.
=> C>B>A => C>A.
Thus,
Assertion involving Artifact A : Artifact B is older than Artifact A.
Assertion involving Artifact C : Artifact C is older than Artifact B.
Of the given options: the best combination that proves the above is: Artifact C is older than Artifact B. AND
Artifact B is older than Artifact A.
=> C>B>A => C>A.
Thus,
Assertion involving Artifact A : Artifact B is older than Artifact A.
Assertion involving Artifact C : Artifact C is older than Artifact B.
yashikaaggarwal
Senior Moderator - Masters Forum
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WE:Analyst (Internet and New Media)
Schools: Cranfield (A) Warwick MiM "23 (M)
Posts: 3,095
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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_________________
Statements:
1) Artifact A is older than Artifact B. => {A>B}
2)
3) Artifact B is older than Artifact A. => {B>A}
4)
5)
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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Posts: 16
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
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
mSKR
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GPA: 3.81
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
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
Posts: 16,403
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.
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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