How many girls were there who were participating in two events only ........

Quantitative Aptitude(IBPS PO) Case Studies

Three games A, B and C were organised in a school for the girls. The total number of girls in the school is 750 and the ratio of number of girls participating in event A, B and C is 6 : 10 : 9 respectively. The total number of girls participating in all the three events is 80. The total number of girls only participating in B is 60. Total number of girls participating only in A is 30 more than total number of girls participating in C only. Number of girls participating in (A + C) only is 15 and is 50 less than the number of girls participating in A only. The difference between total number of girls participating in (B + C) only and total number of girls participating in (A + C) only is 125.

How many girls were there who were participating in two events only?

This questions was previously asked in

IBPS PO Prelims (15 Oct, 2022 Shift 1)

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Explanation:

Correct option:1

Explanation:

The total no of girls in school is 750
Girls participated in events A, B and C is 6: 10: 9
25 unit = 750
1 unit = 30
Total no of girls who participated in event A is 180 and In event B is 300, in event C is 270
Girls who participated in all three events are 80
Girls participated on A + C only is = 15
Girls participated only in A event 50 more than the girls participated only A + C only = 15 + 50 = 65
Girls participated only B is = 60
Girls participated only C is 30 less than A = 65 - 30 = 35
Girls participated only B + C is 125 more than the total number of girls participating in (A + C) = 125 +15 = 140
Girls participated only A + B is = 180 - 65 - 15 - 80 = 20

Girls were there who were participating in two events only=15+140+20=175