Read the given information carefully and answer the related questions:
Seven persons – A, B, C, D, E, F, and G – participate in different activities in seven different months of the same year: January, April, May, July, September, October, and November. The activities are Cooking, Gardening, Photography, Painting, Swimming, Sculpting, and Writing. Gardening is done in a month having 30 days. Three persons perform their activities between D and the one who does Gardening. One person performs their activity between D and E. The number of persons performing activities after E is the same as the number of persons performing activities before the one who does Painting. F performs their activity immediately before the one who does Photography. More than three persons perform their activities between F and G, who does Writing. Swimming is done in a month having 30 days before D. Cooking is done before C, who does not do Swimming.
Who among the following performs their activity in April?
Correct Answer :
F
Solution :
The correct answer is F.
Step-by-step Explanation:
Step 1: List the months in chronological order with their number of days.
1. January (31 days)
2. April (30 days)
3. May (31 days)
4. July (31 days)
5. September (30 days)
6. October (31 days)
7. November (30 days)
Step 2: Determine the positions of D and Gardening.
- Gardening is done in a month having 30 days (April, September, or November).
- Three persons perform activities between D and the one doing Gardening (a gap of 4 positions).
- Swimming is performed in a 30-day month before D.
Let's analyze the possible positions for D and Gardening:
- If Gardening is in September (5th month), D would be in January (1st month). This is impossible because Swimming must occur in a 30-day month before D, but no month precedes January.
- If Gardening is in November (7th month), D would be in May (3rd month). This leads to a contradiction when placing F and Photography.
- If Gardening is in April (2nd month), D must be in October (6th month). Swimming can be placed in September (5th month, 30 days), which correctly precedes D.
Step 3: Position of E and Painting.
- One person performs an activity between D (6th month) and E, placing E in July (4th month).
- The number of persons performing activities after E (3 persons: September, October, November) equals the number of persons performing activities before the one who does Painting. Therefore, 3 persons perform activities before Painting, making July (4th month) the Painting month (done by E).
Step 4: Position of F, Photography, and G.
- F performs their activity immediately before the person doing Photography.
- More than three persons perform activities between F and G (meaning a gap of at least 5 positions between F and G).
- Since April is Gardening and July is Painting, placing F in April (2nd month) makes May (3rd month) Photography.
- With F in April (2nd month), G must be placed in November (7th month, doing Writing) to have more than 3 persons between them.
Step 5: Position of C, Cooking, and remaining activities.
- Cooking is done before C, and C does not do Swimming.
- Therefore, C is in May (doing Photography), and Cooking takes place in January.
- D in October performs Sculpting.
Final Month-wise Schedule:
1. January: A / B — Cooking
2. April: F — Gardening
3. May: C — Photography
4. July: E — Painting
5. September: A / B — Swimming
6. October: D — Sculpting
7. November: G — Writing
Hence, F performs their activity in April.
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