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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 total number of girls in the class.
30
25
35
40
None of these
Let’s break this down step by step:
- There are 60 students in the class.
- Boys are 5/7 times the number of girls.
- Let’s call the number of girls G and boys B.
- B = (5/7) × G
- G + B = 60 ? G + (5/7)G = 60 ? (12/7)G = 60 ? G = 35
- So, number of girls = 35, boys = 25.
- Ratio of girls who like Rose to total girls is 2:7.
- Girls liking Rose = (2/7) × 35 = 10
- Boys who like Sunflower = 60% of girls who like Rose.
- 60% of 10 = 6
- Girls who like Sunflower = 2.5 × boys who like Sunflower
- 2.5 × 6 = 15 girls like Sunflower
- Girls who like Sunflower = 150% of boys who like Lotus
- 15 = 1.5 × X ? X (boys who like Lotus) = 10
Now let’s check options:
1. 30 (No, we got 35)
2. 25 (No)
3. 35 (Yes, matches calculation)
4. 40 (No)
5. None of these (No)
So the total number of girls is 35. Correct Option: 3.
By: Parvesh Mehta ProfileResourcesReport error
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