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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 students who likes Rose.

This questions was previously asked in

SBI Clerk Prelims (12 Jul, 2021 Shift 1)

View All SBICler Previous Year Papers

None of these

Explanation:

- Start by determining the number of boys and girls. Let the number of girls be G; then boys would be (5/7)G. Given G + (5/7)G = 60, solving this, we get G = 35, so boys are 25.

- The ratio of girls liking Rose to the total number of girls is 2:7. Hence, girls liking Rose = (2/7)*35 = 10.

- Boys liking Sunflower are 60% of girls liking Rose = 0.6 * 10 = 6.

- Girls liking Sunflower are 2.5 times boys liking Sunflower = 2.5 * 6 = 15.

- Girls liking Sunflower are 150% of boys liking Lotus. Let boys liking Lotus = B. Hence, 15 = 1.5B resulting in B = 10.

- Compute total liking Rose: remaining girls liking Rose and total boys liking Rose.

- Total girls = 35, so 10 like Rose, 15 like Sunflower, implying 10 like Lotus.

- Remaining boys = 25 - boys liking Sunflower and Lotus = 25 - 6 - 10 = 9.

- Thus, total liking Rose = girls liking Rose + boys liking Rose = 10 + 9 = 19.

Answer: 19

Hence, the correct option is Option:1.