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Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: If the radius of a circle is increased by 25%, then its area will be increased by: Quantity B: In a canteen, 50% student’s drinks Tea and 30% students’ drinks Coffee and 375 students drinks both Tea and Coffee. If total students in a canteen is 2500, then total percentage of students who doesn’t drink any drinks is:

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: If the radius of a circle is increased by 25%, then its area will be increased by: Quantity B: In a canteen, 50% student’s drinks Tea and 30% students’ drinks Coffee and 375 students drinks both Tea and Coffee. If total students in a canteen is 2500, then total percentage of students who doesn’t drink any drinks is: Correct Answer Quantity A > Quantity B

Quantity A:

Let radius of circle be R.

New radius = R + R × 25/100 = 125R/100 = 5R/4

Area of circle = πR2

New area of circle = (5R/4)2 = 25R2/16

Percentage increase =

= (25/16 - 1)/1 × 100

= 56.25

Quantity B:

Percentage of students who drinks both coffee and Tea = 375 × 100/2500 = 15

Percentage of students who doesn’t drink any drinks =

= 100 - (50 - 15) - (30 - 15) - 15

= 35%

∴ Quantity A > quantity B is established.

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