Question

The figure given below shows six bar charts corresponding to the volume of agricultural produce from farms of various farmers. The actual quantities are also shown in the figure. Red bars indicate tomatoes, green bars indicate leafy vegetables, and blue bars indicate berries. Assume that they have seen each other’s bar charts. Who can correctly make at least one of the following statements? 
(i) Everyone who produced any one item more than what I produced, she also produced every other item more. 
(ii) Everyone who produced one item less than what I produced, she also produced at least one other item less. 

• A. Vinita
• B. Priya
• C. Neela
• D. Suneeta

Hint:

For reasoning with comparative statements, check the “dominating” or “minimal” producers carefully. Often the farmer with the highest values in two categories can validate statement (ii).

Answer 1

The Correct Option is B

Step 1: Note the production values of each farmer.
- Vinita: Tomatoes 60, Vegetables 30, Berries 40.
- Nalli: Tomatoes 40, Vegetables 20, Berries 60.
- Sukanya: Tomatoes 40, Vegetables 30, Berries 30.
- Priya: Tomatoes 70, Vegetables 60, Berries 20.
- Suneeta: Tomatoes 60, Vegetables 20, Berries 20.
- Neela: Tomatoes 60, Vegetables 70, Berries 60.
Step 2: Analyze statement (i).
We need a person such that anyone producing more of one item than them must also produce more of the others.
- For Priya (70, 60, 20):
- Check others: No one has more tomatoes and more vegetables together.
- Neela has 70 vegetables (more), but only 60 tomatoes (less). Not valid.
- Therefore, statement (i) is not true for Priya.
Step 3: Analyze statement (ii).
We need a person such that anyone producing less of one item than them also produced less of at least one more item.
- For Priya (70, 60, 20):
- Compare with Vinita (60, 30, 40): Vinita has fewer tomatoes and fewer vegetables, so condition satisfied.
- Nalli (40, 20, 60): Fewer tomatoes, fewer vegetables, condition satisfied.
- Sukanya (40, 30, 30): Fewer tomatoes, fewer vegetables, condition satisfied.
- Suneeta (60, 20, 20): Fewer tomatoes, fewer vegetables, condition satisfied.
- Neela (60, 70, 60): Not less in tomatoes/vegetables; irrelevant.
Thus, Priya satisfies statement (ii). Final Answer: \[ \boxed{\text{Priya}} \]