Areas Quiz Set 020 | Maths Aptitude Quiz Questions and Mock Test on Areas Set 20 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

The diagonal and one side of a rectangle are 10 m and 8 m. What is the perimeter of the rectangle?

28 m.

30 m.

26 m.

32 m.

Soln.
Ans: a

The side = $√{10^2 - 8^2}$ = $√{100 - 64}$ = 6. So the perimeter = 2 × (8 + 6) = 28 m.

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Question 2

The diagonal and one side of a rectangle are 26 m and 24 m. What is the perimeter of the rectangle?

68 m.

70 m.

66 m.

72 m.

Soln.
Ans: a

The side = $√{26^2 - 24^2}$ = $√{676 - 576}$ = 10. So the perimeter = 2 × (24 + 10) = 68 m.

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Question 3

Two concentric circles of radii 14 and 7 cm are drawn on a paper. What is the area of the portion that is inside the outer circle but outside the inner circle?

147π sq. cm.

294π sq. m.

21609π sq. m.

73π sq. m.

Soln.
Ans: a

The required area is difference of the areas of the two circles. π($14^2 - 7^2$) = 147π sq. cm.

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Question 4

The length of a square is increased by 4%, what is the % increase in area?

8.16%.

17%.

11%.

16.32%.

Soln.
Ans: a

If x% is the increase in length, then area increases by $(2x + x^2/100)$%. Putting x = 4, the increase is $(2 × 4 + 4^2/100)$% = 8.16%

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Question 5

The difference between the length and breadth of a rectangle is 2 m. What is the area if the perimeter is 8 meters?

3 sq. meters.

5 sq. meters.

9 sq. meters.

7 sq. meters.

Soln.
Ans: a

If L and B are the length and breadth of the rectangle, then L - B = 2 and 2(L + B) = 8. Solving, we get L = 3 and B = 1, so the area is 3 × 1 = 3 sq. m. TIP: Sometimes long multiplications can be avoided by looking at the units place of the given options.

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