Step 1: Analyse Question StemLet the number of books packed by Linda, Robert and Pat be L, R and P respectively.
The ratio of R : P has to be found out.
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCEStatement 1: Linda packed 30 percent of the total number of boxes of books.
If the total number of books packed by the three is 100, then we can only say that L = 30 and R + P = 70.
However, we cannot find out the exact values of R and P and hence cannot find the value of the ratio of R:P
The data in statement 1 is insufficient to find a unique value of the required ratio.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: Robert packed 10 more boxes of books than Pat did.
This means R = P + 10; therefore, the required ratio = \(\frac{P + 10 }{ P}\)
Statement 2 does not give us the value of P, hence the exact value of the ratio cannot be calculated.
The data in statement 2 is insufficient to find a unique value of the required ratio.
Statement 2 alone is insufficient. Answer option B can be eliminated.
Step 3: Analyse Statements by combiningFrom statement 1: Linda packed 30 percent of the total number of boxes of books.
From statement 2: Robert packed 10 more boxes of books than Pat did.
If the total number of books = 100, then L = 30, R + P = 70 and R = P + 10.
Solving for R and P, we get, R = 40 and P = 30. R : P = 4 : 3
If the total number of books = 200, then L = 60, R + P = 140 and R = P + 10.
Solving for R and P, we get, R = 75 and P = 65. R : P = 15 : 13
Combining the statements is not sufficient to give us a unique value for the required ratio.
The combination of statements is issufficient to find a unique value of the required ratio.
Statements 1 and 2 together are insufficient. Answer option C can be eliminated.
The correct answer option is E. _________________
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