Aptitude · all questions

Mensuration 2d
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Q41

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park had been used as a lawn. If the area of the lawn is 2109 m² then the width of the road is

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Q42

Through each vertex of a triangle, a line parallel to the opposite side is drawn. The ratio of the perimeter of the new triangle, thus formed, with that of the original triangle is

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Q43

ABCD is kite where ∠A is 90° and ∠C is 60°. If length of AB is 6 cm, what is the length of diagonal AC?

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Q44

One of the four angles of a rhombus is 60°. If the length of each side of the rhombus is 8 cm, then the length of the longer diagonal is

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Q45

If the sum of the diagonals of a rhombus is L and the perimeter is 4P, find the area of the rhombus?

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Q46

A parallelogram has sides 15 cm and 7 cm long. The length of one of the diagonals is 20 cm. The area of the parallelogram is

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Q47

In the given figure, ABCDEF is a regular hexagon whose side is 12 cm. What is the shaded area (in cm²)?
Mensuration 2D mcq question image

Mensuration 2D mcq question image

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Q48

Two circles with centre A and B and radius 2 units touch each other externally at 'C'. A third circle with centre 'C' and radius '2' units meets other two at D and E. Then the area of the quadrilateral ABED is

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Q49

The area of a rectangle is thrice that of a square. The length of the rectangle is 20 cm and the breadth of the rectangle is

\frac{3}{2}

times that of the side of the square. The side of the square, (in cm) is

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Q50

If the area of a circle is A, radius of the circle is r and circumference of it is C, then which one of the true?

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Q51

The altitude drawn to the base of an isosceles triangle is 8 cm and its perimeter is 64 cm. The area (in cm²) of the triangle is

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Q52

In the given figure, PQRS is square whose side is 8 cm. PQS and QPR are two quadrants. A circle is placed touching both the quadrants and the square as shown in the figure. What is the area (in cm²) of the circle?
Mensuration 2D mcq question image

Mensuration 2D mcq question image

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Q53

If the length of a diagonal of a square is (a + b), then the area of the square is:

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Q54

In the given figure, PQRS is a square of side 8 cm. ∠PQO = 60°. What is the area (in cm²) of the triangle POQ?
Mensuration 2D mcq question image

Mensuration 2D mcq question image

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Q55

In the given figure area of isosceles triangle ABE is 72 cm² and BE = AB and AB = 2AD, AE || DC, then what is the area (in cm²) of the trapezium ABCD?
Mensuration 2D mcq question image

Mensuration 2D mcq question image

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Q56

The perimeter of a triangle is 40 cm and its area is 60 cm². If the largest side measures 17 cm, then the length (in cm) of the smallest side of the triangle is

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Q57

The following diagram shows part of a fan. OAD and OFG are sectors of a circle with centre O, having radius 24 cm. The central angle of the sectors is 45° as shown in the figure. B, C, H and E lie on a circle with centre O and radius 8 cm. What is the shaded area (in cm²)?
Take π = 3.14
Mensuration 2D mcq question image

Mensuration 2D mcq question image

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Q58

The cost of levelling a circular field at 50 paise per square metre is Rs. 7700. The cost (in Rs.) of putting up a fence all round it at Rs. 1.20 per metre is

(Use π = \frac{22}{7})

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Q59

A circle is inscribed in an equilateral triangle and a square is inscribed in that circle. The ratio of the areas of the triangle and the square is

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Q60

The perimeters of a circle, a square and an equilateral triangle are same and their areas are C, S and T respectively. Which of the following statement is true?

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