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.
Which of the following statements is true?
Correct Answer :
Sculpting is done in October
Solution :
The correct statement is Sculpting is done in October.
Step-by-Step Explanation:
Let us arrange the seven months in chronological order along with the number of days in each month:
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)
1. Determining the positions of Gardening, D, and Swimming:
- Gardening is done in a month having 30 days (April, September, or November).
- Three persons perform between D and the one who does Gardening.
- Swimming is done in a 30-day month before D. This implies D cannot be in January.
- If Gardening is in April (Position 2), then D must be in October (Position 6) to keep 3 persons between them (May, July, September).
- Swimming is done in a 30-day month before D (October). Since April is already assigned to Gardening, Swimming must be in September (Position 5).
2. Determining the positions of E and Painting:
- One person performs between D (October, Pos 6) and E. Therefore, E performs in July (Position 4).
- The number of persons performing after E (July, Pos 4) is 3 (September, October, November).
- Therefore, 3 persons must perform before Painting, which places Painting in July (Position 4, performed by E).
3. Determining the positions of F, Photography, G, and Writing:
- F performs immediately before the person who does Photography.
- More than three persons (at least 4) perform between F and G (who does Writing).
- Placing F in April (Position 2) means Photography is in May (Position 3).
- Consequently, G (who does Writing) must be in November (Position 7). There are 4 persons (May, July, September, October) between F (Pos 2) and G (Pos 7).
4. Determining the positions of C, Cooking, and Sculpting:
- Cooking is done before C, and C does not do Swimming (September).
- Thus, C must be in May (Position 3, doing Photography), and Cooking must be performed in January (Position 1).
- The only remaining activity to assign for D in October (Position 6) is Sculpting.
Final Schedule Table:
• January (31 days): Cooking
• April (30 days): F - Gardening
• May (31 days): C - Photography
• July (31 days): E - Painting
• September (30 days): Swimming
• October (31 days): D - Sculpting
• November (30 days): G - Writing
Evaluating the given options:
- G does Gardening before D: False (G does Writing in November)
- Two persons perform their activities between F and E: False (Only 1 person, C, is between F and E)
- C performs their activity in September: False (C performs in May)
- Sculpting is done in October: True (D does Sculpting in October)
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