Areas Quiz Set 001 | Maths Aptitude Quiz Questions and Mock Test on Areas Set 1 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

Two concentric circles of radii 19 and 11 cm are drawn on a paper. What is the area of the portion that is inside the outer circle but outside the inner circle?

240π sq. cm.

480π sq. m.

57600π sq. m.

120π sq. m.

Soln.
Ans: a

The required area is difference of the areas of the two circles. π($19^2 - 11^2$) = 240π sq. cm.

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Question 2

The length and breadth of a rectangular area are in the ratio 5 : 3. What is the length of the field if a car travelling at 12 km/h covers one round of the rectangle in 320 minutes?

20 km.

22 km.

18 km.

24 km.

Soln.
Ans: a

Let L = 5x and B = 3x. Perimeter = 2 × (5x + 3x) = speed × time = (12 × 320)/60 = 64 km. So x = 4, and L = 5x = 20 km.

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Question 3

What is the area of the largest circle that can fit completely inside a square of side 14 meters?

49π sq. m.

98π sq. m.

2401π sq. m.

24.5π sq. m.

Soln.
Ans: a

The radius of such a circle is 14/2 = 7 m. So its area = π × 7 × 7 = 49π sq. m.

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Question 4

A gun is fired towards a circular board consisting of two concentric circles of radii 12 and 3 cm. If each bullet is able to hit the board, what is the probability that it will strike the ring, i.e., the area between the inner and outer circles?

${15/16}$.

${5/7}$.

1/2.

${15/31}$.

Soln.
Ans: a

The area of the ring is equal to the difference of the areas of the two circles. π($12^2 - 3^2$) = 135π sq. cm. The total area is π × 12² = 144π. The probability of hitting the ring is ${135π}/{144π}$ = ${15/16}$.

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