In a class,110 students like physics, 80 like chemistry, 120 like mathematics and 70 like English. 20 students like only physics, 15 like only chemistry, 30 like only mathematics and 15 like only English. What can be the maximum possible number of students in the class ?

180

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210

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380

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230

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Solution

The correct option is D
230

S = 110+80+120+70 = 380
We need to maximize X.

I = 80.

S = I + 2II + 3III + 4IV = 380.

To maximize X we need to minimize the overlapped regions. Assume III= 0, IV = 0.
So that 2II = 380-80 = 300. II = 150.
X max = 80 + 150 = 230.

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In a class,110 students like physics, 80 like chemistry, 120 like mathematics and 70 like English. 20 students like only physics, 15 like only chemistry, 30 like only mathematics and 15 like only English. What can be the maximum possible number of students in the class ?

The correct option is D 230S = 110+80+120+70 = 380 We need to maximize X. I = 80. S = I + 2II + 3III + 4IV = 380. To maximize X we need to minimize the overlapped regions. Assume III= 0, IV = 0. So that 2II = 380-80 = 300. II = 150. X max = 80 + 150 = 230.

The correct option is D
230

S = 110+80+120+70 = 380
We need to maximize X.

I = 80.

S = I + 2II + 3III + 4IV = 380.

To maximize X we need to minimize the overlapped regions. Assume III= 0, IV = 0.
So that 2II = 380-80 = 300. II = 150.
X max = 80 + 150 = 230.