Instructions

The following graph provides data about the refrigerators and television sets manufactured by XYZ company in 8 days - day1 to day8. However, on each day after quality check (QC) some products were found to be defective. The attached bar chart provides data about aggregate number of refrigerators and televisions manufactured by the company and the number of refrigerators found defective after QC on each day of the given eight days.
All the televisions and refrigerators which cleared the QC were packed for selling.

The bar chart given below provides information about the fraction of the number of televisions found defective to number of televisions which cleared the QC.

Question 76

Given that the number of televisions which cleared the quality check on each of the eight days is equal to 'X', then how many distinct values of X are possible?

Solution

The second chart provides information about the fraction of defective televisions found to the number of televisions that cleared the QC. On day 1, this ratio is 3:4, i.e. let the number of televisions found detective be '3a'. The number of televisions which cleared the QC is 4a, and the total number of televisions is 7a. Similarly, calculating for all the days, we will get the below data.

If T-QC is same for all the days, then they should be in the form of 80k. LCM(4,8,2,5,10,16,5)

X = 80k which can take only 3 values, i.e. 80, 160 and 240

Answer is option B.


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