A potential recruit get a total of 55% marks. There are 6 performance parameters with maximum marks of 100 in each parameter. The recruit gets marks in the ratio of 10:9:8:7:6:5, respectively, in different parameters. In the first 3 parameters, the criteria for clearing the performance core is 55% of the maximum marks and for the next 3 parameters is 50% of the maximum marks. How many parameters has the recruit cleared?

The total marks = $$100\times\ 6=600$$

The recruit got 55% of the total marks, i.e. = $$55\%\times\ 600=330$$.

The recruit gets marks in the ratio of 10:9:8:7:6:5 in each parameter.

Let the marks in each parameter be $$10x,\ 9x,\ ...,\ 5x$$.

we have, $$10x+\ 9x+8x+7x+6x+5x=330$$

$$45x=330$$

$$x=\frac{22}{3}$$

Hence, the marks in each parameter are $$73.33,\ 66,\ 58.67,\ 51.33,\ 44,\ 36.67$$

The criteria for clearing the performance score is 55% of the maximum marks for first 3 and for the next 3 parameters is 50% of the maximum marks.

Hence the recruit cleared four parameters. Option (c) is the answer.