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29 Sep 2025, 21:19
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
67% (02:14) correct
33%
(02:21)
wrong
based on 109
sessions
History
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A report consists of 20 sheets each of 55 lines and each such line consists of 65 characters. This report is retyped into sheets each of 65 lines such that each line consists of 70 characters. The percentage reduction in number of sheets is closest to
A. 5
B. 10
C. 20
D. 30
E. 35
A. 5
B. 10
C. 20
D. 30
E. 35
29 Sep 2025, 21:57
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(sheets * lines * characters) should be constant
S1 * L1 * C1 = S2 * L2 * C2
20*55*65 = x*65*70
x = 110/7
Reduction in number of sheets = (20-110/7) = 30/7, which is approximately 21.4% of 20
Hence, C
S1 * L1 * C1 = S2 * L2 * C2
20*55*65 = x*65*70
x = 110/7
Reduction in number of sheets = (20-110/7) = 30/7, which is approximately 21.4% of 20
Hence, C
Bunuel
29 Sep 2025, 22:09
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Step 1: Find the total content in the original report.
Each sheet has:
55 \times 65 = 3575 \text{ characters}
20 \times 3575 = 71{,}500 \text{ characters}
So the total report length = 71,500 characters.
---
Step 2: Capacity of each new sheet.
Each new sheet has:
65 \times 70 = 4550 \text{ characters}
---
Step 3: Number of new sheets required.
\frac{71{,}500}{4550} = \frac{1430}{91} \approx 15.7
---
Step 4: Percentage reduction in sheets.
Original = 20 sheets, New ≈ 16 sheets.
\frac{20 - 16}{20} \times 100\% = 20\%
---
✅ Answer: C. 20%
Takeaway for GMAT:
When dealing with these "reformatting" or "work-capacity" style problems, always compare the total work (characters) with the capacity per unit (characters per new sheet). Percent change problems are cleaner when you work in total units instead of line-by-line.
Each sheet has:
55 \times 65 = 3575 \text{ characters}
20 \times 3575 = 71{,}500 \text{ characters}
So the total report length = 71,500 characters.
---
Step 2: Capacity of each new sheet.
Each new sheet has:
65 \times 70 = 4550 \text{ characters}
---
Step 3: Number of new sheets required.
\frac{71{,}500}{4550} = \frac{1430}{91} \approx 15.7
---
Step 4: Percentage reduction in sheets.
Original = 20 sheets, New ≈ 16 sheets.
\frac{20 - 16}{20} \times 100\% = 20\%
---
✅ Answer: C. 20%
Takeaway for GMAT:
When dealing with these "reformatting" or "work-capacity" style problems, always compare the total work (characters) with the capacity per unit (characters per new sheet). Percent change problems are cleaner when you work in total units instead of line-by-line.
