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Consider the data of four schools (S1, S2, S3, S4) in a city in this table below:

SchoolNumber of StudentsPercentage of Boys
IXXXIXIIIXXXIXII
S11209015012540306080
S215010012010030555045
S314012010012020406560
S41001008015035458040

In class XII, the number of girls in the school ______ is more than the combined number of girls in the school ______ and ______.

Solution

✅ Correct Option: 1

Calculate the number of girls in Class XII for all schools to satisfy the condition:

Girls(A)>Girls(B)+Girls(C)\text{Girls}(A) > \text{Girls}(B) + \text{Girls}(C)


Using the formula: Girls=Total×(100%−%Boys)\text{Girls} = \text{Total} \times (100\% - \% \text{Boys})

SchoolTotal Students (XII)% Boys% GirlsCalculationNo. of Girls
S112580%20%125×0.20125 \times 0.2025
S210045%55%100×0.55100 \times 0.5555
S312060%40%120×0.40120 \times 0.4048
S415040%60%150×0.60150 \times 0.6090

Checking each option to find where the first school has more girls than the sum of the other two:

Option 1: S4, S1, S2

Girls(S4)>Girls(S1)+Girls(S2)\text{Girls}(S4) > \text{Girls}(S1) + \text{Girls}(S2)

90>25+5590 > 25 + 55

90>8090 > 80

This is TRUE.


Option 2: S2, S1, S4

55>25+9055 > 25 + 90

55>11555 > 115

This is FALSE.


Option 3: S2, S1, S3

55>25+4855 > 25 + 48

55>7355 > 73

This is FALSE.


Option 4: S4, S2, S3

90>55+4890 > 55 + 48

90>10390 > 103

This is FALSE.


Therefore, the answer is Option 1: S4, S1, S2.

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