If number of basic sessions conducted by B are more than number of regular sessions conducted by him...........

Quantitative Aptitude (SBI-PO) Data Sufficiency

Direction: Study the given information carefully and answer the following questions.
Three yoga masters i.e., A, B, C and D conducted yoga sessions in a society. These yoga sessions are of three types viz. Basic (of 1 hour each), Regular (of 2 hours each) and Advanced (of 3 hours each). The pie chart given below shows the percentage distribution of total number of hours for which the given yoga masters conducted sessions in the society

If number of basic sessions conducted by B are more than number of regular sessions conducted by him which in turn are more than number of advanced sessions conducted by him, then find the minimum number of basic sessions conducted by Yoga master B

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Explanation:

Total number of hours for which yoga master B conducted sessions = 25% of 60 = 15 hours.
For number of basic sessions to be minimum,
Let number of advanced sessions = 2
Then, number of regular sessions will be atleast 3.
So, remaining hours = 15 – 3 × 2 – 2 × 3 = 3 hours
i.e., number of basic sessions is also 3. But this does not satisfy the given condition.
Now, let number of advanced sessions = 1
Then remaining hours = 15 – 1 × 3 = 12 hours.
If number of regular sessions = 4
Then, number of basic sessions will also be 4, which will not satisfy the given condition.
When number of regular sessions = 3
i.e., 3 × 2 = 6 hours
Then number of basic sessions = 6
i.e., 6 × 1 = 6 hours
Required answer = 6 sessions
Hence, option 2 is correct