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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
79% (00:59) correct
21%
(01:08)
wrong
based on 61
sessions
History
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Time
Result
Not Attempted Yet
Doug found that he had gained mass since he last measured it, the previous month. The difference between Doug’s current mass and his mass the previous month was what percentage of his mass the previous month?
(1) Doug’s mass was 72 kilograms last month.
(2) Doug’s current mass is 19/18 of what it was last month.
(1) Doug’s mass was 72 kilograms last month.
(2) Doug’s current mass is 19/18 of what it was last month.
Updated on: 13 Feb 2026, 13:32
Originally posted by dolorumillum on 13 Feb 2026, 10:40.
Last edited by dolorumillum on 13 Feb 2026, 13:32, edited 1 time in total.
Last edited by dolorumillum on 13 Feb 2026, 13:32, edited 1 time in total.
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Let's Denote a few variables first:
Mc = Current Month's Weight
Mp = Previous Month's Weight
W = Change in Weight between two months
Formula:
Mc - Mp = W
Answer Formula:
W/Mp
1) Mp = 72
When plugged into the above formula, this alone doesn't give us enough data.
2) 19Mc = 18Mp
When plugged into the above formula, we can utilize this ratio to determine Mc and Mp in terms of each other.
Mc - Mp -> 19/18 Mp - Mp = 1/18 Mp (knowing that this is the change, we can also represent this as W, or 1/18W).
From here its just plugging everything into the answer formula 1/18 / 18/18.
Put more simply, 1/18. This answer is Sufficient as a percentage.
IMO Answer Choice B.
Mc = Current Month's Weight
Mp = Previous Month's Weight
W = Change in Weight between two months
Formula:
Mc - Mp = W
Answer Formula:
W/Mp
1) Mp = 72
When plugged into the above formula, this alone doesn't give us enough data.
2) 19Mc = 18Mp
When plugged into the above formula, we can utilize this ratio to determine Mc and Mp in terms of each other.
Mc - Mp -> 19/18 Mp - Mp = 1/18 Mp (knowing that this is the change, we can also represent this as W, or 1/18W).
From here its just plugging everything into the answer formula 1/18 / 18/18.
Put more simply, 1/18. This answer is Sufficient as a percentage.
IMO Answer Choice B.
13 Feb 2026, 13:04
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This is a percent change problem disguised as a word problem about weight gain. The key is setting up the relationship correctly.
**Understanding the question:** Doug gained mass. The difference between current and previous mass = what percentage of his previous mass?
Let previous mass = P, current mass = C.
We need: (C - P)/P × 100 = ?
**Statement 1: Doug's mass was 72 kg last month.**
So P = 72. But we don't know C (current mass). **Insufficient.**
**Statement 2: Doug's current mass is 19/18 of what it was last month.**
This gives us C = (19/18)P.
Now we can find the percentage:
(C - P)/P = ((19/18)P - P)/P = (19/18 - 1) = 1/18
So the percentage increase = (1/18) × 100 = 5.56%
Wait—the question asks "what percentage," not "what percent increase." Let me recalculate.
The difference = C - P = (19/18)P - P = (1/18)P.
As a percentage of P: (1/18) × 100 ≈ 5.56%
We have a definite numerical answer. **Sufficient.**
**Combined:** Not needed since Statement 2 alone is sufficient.
**Answer: B (Statement 2 alone is sufficient)**
**Common trap:** Thinking you need the actual mass (Statement 1) to find a percentage. Percentages are ratios—you only need the relative relationship between the numbers, not their absolute values.
**Takeaway:** When a Data Sufficiency question asks for a percent or ratio, check if you can answer it without knowing absolute values—often a multiplicative relationship is all you need.
**Understanding the question:** Doug gained mass. The difference between current and previous mass = what percentage of his previous mass?
Let previous mass = P, current mass = C.
We need: (C - P)/P × 100 = ?
**Statement 1: Doug's mass was 72 kg last month.**
So P = 72. But we don't know C (current mass). **Insufficient.**
**Statement 2: Doug's current mass is 19/18 of what it was last month.**
This gives us C = (19/18)P.
Now we can find the percentage:
(C - P)/P = ((19/18)P - P)/P = (19/18 - 1) = 1/18
So the percentage increase = (1/18) × 100 = 5.56%
Wait—the question asks "what percentage," not "what percent increase." Let me recalculate.
The difference = C - P = (19/18)P - P = (1/18)P.
As a percentage of P: (1/18) × 100 ≈ 5.56%
We have a definite numerical answer. **Sufficient.**
**Combined:** Not needed since Statement 2 alone is sufficient.
**Answer: B (Statement 2 alone is sufficient)**
**Common trap:** Thinking you need the actual mass (Statement 1) to find a percentage. Percentages are ratios—you only need the relative relationship between the numbers, not their absolute values.
**Takeaway:** When a Data Sufficiency question asks for a percent or ratio, check if you can answer it without knowing absolute values—often a multiplicative relationship is all you need.
