Mastering Test-4
Go through the data set given below and solve the questions based on it.
A rating company rates the performance of three companies producing shoes. The points are allotted according to their sales. The point index (PI) of each of the companies = The number of lakh units sold during the month × points allotted.
Table 1
The number of lakh units sold = y | Points allotted |
y < 5 | 3 |
5 < y < 8 | 4 |
8 < y < 11 | 5 |
y > 11 | 6 |
The following table shows the number of lakh units sold of each of the brands—Moon, Warle and Enivi—from Jan 07 to June 07.
Table 2
Name of month | Moon | Warle | Enivi | Rank of months according to PI |
Jan 07 | 7 | 4 | - | 4 |
Feb 07 | - | 13 | - | 1 |
Mar 07 | - | - | - | 5 |
Apr 07 | - | - | - | 6 |
May 07 | - | - | - | 2 |
Jun 07 | - | - | 10 | 3 |
Note:
1. The number of lakh units sold by all the three companies in each of the months is identical.
2. The sum of the number of lakh units sold by each of the companies in all the six months together is identical.
3. The number of lakh units sold by any of the companies in any one of the months is at least 1.
4. The number of lakh units sold by exactly two companies in each of the months Feb 07, Mar 07 and Apr 07 is identical.
5. The Point Index of Jan 07 and May 07 is 26 and 17 less than Feb 07 respectively. Also, the PI in Jan 07 is one more than that of March 07.
6. The number of lakh units sold by Moon in Mar 07 and Apr 07 together is equal to that in May 07.
7. The sum of PI in any month is not greater than 100.
8. The least possible Point Index (PI) is in Apr 07 for the sum of lakh units sold by all three companies.
What is the number of lakh units sold by Moon in all the six months together?