Directions (Q. 31 - 35): Study the following information carefully and answer the questions given below: There are four companies P, Q, R and S. Each company has two categories of employees: Engineers and Project Engineers. The number of Engineers in Company S is 1250 more than the number of Engineers in Company R and 1050 less than the number of Engineers in Company P. The number of engineers in Company Q is 16 more than 4 times of the number of Project Engineers in that company. The number of Engineers in Company R is 32 less than 3.2 times the number of Project Engineers in Company S. The number of Project Engineers in Company S is 110 more than that of Project Engineers in Company P and 150 less than that of Project Engineers in Company Q. The number of Project Engineers in Company P and that in Company R are 925 and 1200 respectively. The number of male Engineers in Company P is 50% of the total number of Engineers in Company Q. The number of female Project Engineers in Company P is 40% of the total number of Project Engineers in Company S. The number of male Engineers in Company R is 4 times of the number of female Project Engineers in Company P. The number of male Engineers in Company S is double the number of female Engineers in company R. The number of male Engineers in Company Q is 1852 more than the number of male Engineers in Company R. The number of male Project Engineers in Company Q is 20% of the total number of Engineers of Company S. The number of female Project Engineers in Company R is 52 less than that of male Project Engineers in Company Q. The number of male Project Engineers in Company S is two times that of female Project Engineers in Company Q.
The number of female Project Engineers in Company P, R and S together is what per cent of the number of male Engineers in Company P and S together?A) 24%
B) 31%
C) 35%
D) 21%
E) 19%
Correct Answer: B
Solution :
Required\[%=\frac{414+854+477}{2378+3248}\times 100\] \[=\frac{1745}{5626}\times 100=31.01\approx 31%\]| Company | Engineers | Project Engineers | ||||
| Total | Male | Female | Total | Male | Female | |
| P | \[4530+1050\]\[=5580\] | \[50%\]of\[4756=2378\] | \[5580-2378\]\[=3202\] | 925 | \[925-414\]\[=511\] | \[40%\]of\[1035=414\] |
| Q | \[1185\times 4+16=\]\[4740+16=4756\] | \[1656+1852\]\[=3508\] | \[4756-3508\]\[=1248\] | \[1035+150\]\[=1185\] | \[20%\]of\[4530=1/5\times \]\[4530=906\] | \[1185-906\]\[=279\] |
| R | \[1035\times 3.2\]\[-32=3312\]\[-32=3280\] | \[414\times 4\]\[=1656\] | \[3280-1656\]\[=1624\] | 1200 | \[1200-854\]\[=346\] | \[906\]\[-52=854\] |
| S | \[3280+1250\]\[=4530\] | \[1624\times 2\]\[=3248\] | \[4530-3248\]\[=1282\] | \[925+110\]\[=1035\] | \[2\times 279=558\] | \[1035\]\[-558=477\] |
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