Direction: Read the following information carefully and answer the following questions.
A class has total 60 students. All the students likes only one of 3 flowers i.e Lotus, Sunflower and Rose. Number of boys is 5/7 times the number of girls. Ratio of number of girls who likes Rose and total number of girls is 2 : 7. Number of boys who likes Sunflower is 60% of the number of girls who likes Rose. Number of girls who likes Sunflower is 2.5 times the number of boys who likes Sunflower. Number of girls who likes Sunflower is 150% of the number of boys who likes Lotus.
Find the ratio of number of boys and number of girls who likes Lotus.
This questions was previously asked in
SBI Clerk Prelims (12 Jul, 2021 Shift 1)
None of these
Incorrect AnswerExplanation:
Let’s break down this flower puzzle step-by-step:
- There are 60 students.
- Boys = 5/7 × number of girls. Let girls = G, so boys = 5/7?G.
- Girls + boys = 60 ? G + 5/7?G = 60 ? (12/7)?G = 60 ? G = 35, boys = 25.
Now, look at the preferences:
- Ratio of girls who like Rose to total girls is 2:7 ? 2/7 × 35 = 10 girls like Rose.
- Boys who like Sunflower = 60% of girls who like Rose ? 0.6 × 10 = 6 boys.
- Girls who like Sunflower = 2.5 × boys who like Sunflower ? 2.5 × 6 = 15 girls.
- Girls who like Sunflower = 150% of boys who like Lotus ? 15 = 1.5 × (boys who like Lotus), so boys who like Lotus = 10.
Now let’s check numbers left for Lotus:
- Girls: Rose (10) + Sunflower (15) = 25. So, 35 - 25 = 10 girls like Lotus.
- Boys: Sunflower (6) + Lotus (10) = 16. So, 25 - 16 = 9 boys like Rose (careful here! But we only need Lotus).
Final question: Ratio of boys:girls who like Lotus = 10:10 = 1:1.
CORRECT ANSWER: Option 4 – 1:1
- Option 1 (1:2), Option 2 (3:5), Option 3 (2:1) don’t fit the numbers.
- What this all means: Double-checked every step, and the numbers line up!
Let me know if you want a breakdown for every single flower and student—happy to double-check!
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By: Parvesh Mehta