Areas Quiz Set 011 | Maths Aptitude Quiz Questions and Mock Test on Areas Set 11 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

What is the smallest number of square tiles that can be laid fully, without cutting, on a floor 21 m by 27 m?

63 .

64 .

62 .

65 .

Soln.
Ans: a

The side of the square tile has to be HCF(21, 27) = 3. Hence, the required number is ${21 × 27}/{3 × 3}$ = 63.

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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 30 km/h covers one round of the rectangle in 96 minutes?

15 km.

17 km.

13 km.

19 km.

Soln.
Ans: a

Let L = 5x and B = 3x. Perimeter = 2 × (5x + 3x) = speed × time = (30 × 96)/60 = 48 km. So x = 3, and L = 5x = 15 km.

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Question 3

What is the cost of plastering, @50 paise per square meter, the walls and floor of a 34 m × 22 m. tank that is 24 meters high?

Rs. 1718 .

Rs. 1720 .

Rs. 1716 .

Rs. 1722 .

Soln.
Ans: a

The area to be plastered is $(2 × l × h) + (2 × b × h) + (l × b)$ = (2 × 34 × 24) + (2 × 22 × 24) + (34 × 22) = 3436 sq. m. The cost = 3436 × 0.50 = Rs. 1718.

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Question 4

The difference between the length and breadth of a rectangle is 10 m. What is the area if the perimeter is 48 meters?

119 sq. meters.

121 sq. meters.

117 sq. meters.

123 sq. meters.

Soln.
Ans: a

If L and B are the length and breadth of the rectangle, then L - B = 10 and 2(L + B) = 48. Solving, we get L = 17 and B = 7, so the area is 17 × 7 = 119 sq. m. TIP: Sometimes long multiplications can be avoided by looking at the units place of the given options.

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