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Question

Direction : The following questions are based on the following information :

Monthly expenses on various items of a certain family are shown in the following diagram :

Pie chart of monthly family expenses: Food 108, Clothing 63, House rent 72, Fuel etc. 27, Other x degrees

Find the angle in degrees associated with sector ‘other’.

This question was previously asked in
MH SET 2023 Paper 2 Computer Science and Applications Question Paper (26-Mar-2023)
The correct answer is

90°

In a pie chart the angles of all sectors add up to \(360^\circ\), so an unknown sector angle is 360 degrees minus the sum of the others.

Step 1 — Known sectors: Food 108°, Clothing 63°, House rent 72°, Fuel etc. 27°.

Step 2 — Sum: \(108 + 63 + 72 + 27 = 270^\circ\).

Step 3 — Other: \(x = 360 - 270 = 90^\circ\).

The values 63°, 108° and 72° are the angles of the clothing, food and house rent sectors, not of the remaining sector.

90° option is correct.

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