Area - Aptitude test questions and answers

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Area - Aptitude test questions and answers


Q1. Find the perimeter , if the area of a rectangular box is 360 m 2 and length is 12m.

A)84m
B)30m
C)42m
D)21m

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ANSWER: A)84m




Q2. Find the area of square if its perimeter is 4(x+y).

A)(x+y) 2
B) x 2 +y 2 +4xy
C) (x+y)/2
D) x 2

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ANSWER: A)(x+y) 2




Q3. The side of a square shaped room exceeds the size of the another square shaped room by 4cm and the sum of the areas of the both rooms is 400cm 2 .The dimension of the both rooms is

A)10cm and 8 cm
B)8cm and 12 cm
C)12 cm and 14 cm
D)4 cm and 6cm

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ANSWER: B)8cm and 12 cm




Q4. The area of the rectangular box of length 20m is 420m 2 .Coloured Rectangular box of size 3x2m has to be set inside the rectangular box. Find how many Coloured Rectangular boxes are required to fill the box?

A) 40
B)70
C)50
D)55

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ANSWER: B)70




Q5. A ground is in the shape of rectangle of length 30 m and width 20 m inside the lawn there is a lane of uniform width 2m boardering the ground. The area of the lane is

A)184m 2
B) 166m 2
C) 225m 2
D) 196m 2

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ANSWER: A)184m 2




Q6. A ground is quadrilateral (PQRS) in shape, whose diagonal PR= 22m and and the length of the perpendicular drawn from Q and S to PR are 5m and 10m respectively. Find the area of the quadrilateral ?

A) 180cm 2
B) 190cm 2
C)200cm 2
D)165cm 2

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ANSWER: D)165cm 2




Q7. If the length of the diagonal of a rhombus is 2(a+b) and its area a 2 -b 2 sq. units, then the other diagonal is

A)a+b
B)a-b/2
C)a-b
D)None of these

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ANSWER: C)a-b




Q8. The difference b/w two parallel sides of a trapezium is 8 cm and the perpendicular distance b/w them is 38 cm. Find the lengths of the parallel sides, if the area of the trapezium is 950 cm 2 .

A)32 and 28
B)29 and 21
C)16 and 24
D)32 and 18

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ANSWER: B)29 and 21




Q9. Find the area of a triangle whose sides are 5cm,10cm,15cm?

A) 28cm 2
B) 29cm 2
C) 18cm 2
D)None of these

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ANSWER: D)None of these




Q10. The base of triangular field is three times its altitude. If the cost of cultivating the field at 50per hectare be Rs.675, then its base is

A)900m
B)300m
C)600m
D)150m

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ANSWER: A)900m


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  • Area - Aptitude test questions and answers -Aptitude test (10/10/13)
  • Q31. If the radius of a circle is decreased by 50%, its area will decrease by

    A)80%
    B)75%
    C)65%
    D)50%

    View Answer / Hide Answer

    ANSWER: B)75%




    Q32. Find the area of the circle whose circumference is equal to the perimeter of a square of side 8 cm is

    A)81.38cm 2
    B)108.38cm 2
    C)181.38cm 2
    D)92.38cm 2

    View Answer / Hide Answer

    ANSWER: A)81.38cm 2




    Q33. A pipe is in the form of a circle of radius 28 cm , it is bent into a square .Find the side of a square

    A)88 cm
    B)34cm
    C)44 cm
    D)38cm

    View Answer / Hide Answer

    ANSWER: C)44 cm




    Q34. A goat is tied to a pole with 14 m long string. Find the area which the goat can graze is equal to

    A)616m 2
    B)280m 2
    C)140 m 2
    D)420 m 2

    View Answer / Hide Answer

    ANSWER: A)616m 2




    Q35. How many times will a wheel of diameter 98 cm rotate in covering a distance of 308m?

    A)125rev.
    B)66 rev.
    C)50 rev.
    D)100 rev.

    View Answer / Hide Answer

    ANSWER: D)100 rev.




    Q36. Find the approx. radius of the bigger circle if the radius of the smaller circle is 12cm and the area of a tyre is 209cm 2 .

    A)14 cm
    B)12cm
    C)13cm
    D)15cm

    View Answer / Hide Answer

    ANSWER: A)14 cm




    Q37.The length of a rectangle is increased by 40%. By what percent would the width have to be decreased to maintain the same area?

    A)60%
    B)28.57%
    C)30.00%
    D)32%

    View Answer / Hide Answer

    ANSWER: B)28.57%




    Q38.The perimeter of a rectangular field is 120 m and the ratio b/w the length and breadth is 4:2. The area of the field is

    A) 200m 2
    B)500m 2
    C) 400m 2
    D)800m 2

    View Answer / Hide Answer

    ANSWER: D)800m 2




    Q39. The inner circumference of a circular ground is 220m. The track is 22 m wide. The diameter of the outer circle of the track is

    A)114
    B)120
    C)57
    D)85

    View Answer / Hide Answer

    ANSWER: A)114




    Q40. If the length and breadth of a rectangular plot are increased by 40% and 20% respectively, then the new area is how many times the original area?

    A)1.80
    B)1.68
    C)2.10
    D)2.50

    View Answer / Hide Answer

    ANSWER: B)1.68




    Q41. The length of the sides of a triangle are in the ratio 3:4:5 and its perimeter is 144 cm. Find the area of the triangle is

    A)864 cm 2
    B) 800 cm 2
    C) 124 cm 2
    D) 464 cm 2

    View Answer / Hide Answer

    ANSWER: A)864 cm 2




    Q42. Find the area of an isosceles triangle, each of whose equal sides is 26 cm and whose base is 48 cm is

    A)120 cm 2
    B)60 cm 2
    C)240 cm 2
    D)180 cm 2

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    ANSWER: C)240 cm 2




    Q43. The base of an isosceles triangle measures 24cm and its area is 192 cm 2 . Then its perimeter is

    A)128
    B)64
    C)44
    D)48

    View Answer / Hide Answer

    ANSWER: B)64




    Q44. The difference b/w the sides at right angles in a right angled triangle is 28 cm. The area of the triangle is 240 cm 2 . The approx. perimeter of the triangle

    A)93.75
    B)105
    C)97
    D)99

    View Answer / Hide Answer

    ANSWER: A)93.75




    Q45. The length and the breadth of a seminar hall are in the ratio 5:2. A path, 2 m wide running all around the outside of the seminar hall has an area of 604 m 2 . The dimensions of the hall are

    A)100m and 40m
    B) 120m and 60m
    C)105m and 42m
    D)110 and 50 m.

    View Answer / Hide Answer

    ANSWER: C)105m and 42m




    Q46. A football ground,150 m by 120 m has two tracks each 8 m wide , running through the middle of the ground, one parallel to the length and the other parallel to breadth. The cost of gravelling the ground at Rs.9.00 per m 2 is

    A)18864
    B)18000
    C)18800
    D)17651

    View Answer / Hide Answer

    ANSWER: A)18864




    Q47.If the diameter of a circle is increased by 50, its area is increased by

    A)100%
    B)75%
    C)25%
    D)125%

    View Answer / Hide Answer

    ANSWER: D)125%




    Q48. The diagonal of the square shaped room A is (x+y). Then the diagonal of another square shaped room B with twice the area of A is

    A)(x+y)
    B)1.414(x+y)
    C)1.732(x+y)
    D)2(x+y)

    View Answer / Hide Answer

    ANSWER: B)1.414(x+y)




    Q49. The area of the largest circle that can be drawn inside a rectangle with sides 20 m by 16 m, is

    A)64 Πm 2
    B)8 Πm 2
    C)4 Πm 2
    D)16 Πm 2

    View Answer / Hide Answer

    ANSWER: A)64 Πm 2



  • Area - Aptitude test questions and answers -Aptitude test (10/10/13)
  • Q11.The perimeter of a right angle triangle is 12 cm. Its hypotenuse is 5 cm, find the area of triangle?

    A) 6
    B)12
    C)18
    D)16

    View Answer / Hide Answer

    ANSWER: A) 6




    Q12. Find the approx. value of circumference of a circle whose area is 12m 2 is

    A)50
    B)25
    C)76
    D)80

    View Answer / Hide Answer

    ANSWER: B)25




    Q13. If the radius of a circle is decreased by 20%, then the percentage decrease in its area is

    A)63%
    B)40%
    C)34%
    D)None of these

    View Answer / Hide Answer

    ANSWER: D)None of these




    Q14. The radius of the driving wheel of a Car is 100cm.Then in order to keep a speed of 60km/h,how many approx. revolutions per minute must the wheel make?

    A)319
    B)420
    C)560
    D)180

    View Answer / Hide Answer

    ANSWER: A)319




    Q15. If the perimeter of a semi-circle is 36cm, then its diameter is

    A)23cm
    B)14cm
    C)32cm
    D)28cm

    View Answer / Hide Answer

    ANSWER: B)14cm




    Q16. The area of a tyre whose outer and inner radii are respectively 10 cm and 7 cm is

    A)160.28 cm 2
    B) 167.28cm 2
    C) 60.28cm 2
    D) 260.28cm 2

    View Answer / Hide Answer

    ANSWER: A)160.28 cm 2




    Q17. Find the area of four walls of the room ,if its height is 6m and the perimeter of a floor of a room is 36m.

    A) 77m 2
    B) 157m 2
    C) 108m 2
    D) 216m 2

    View Answer / Hide Answer

    ANSWER: D) 216m 2




    Q18.The ratio of the areas of the in circle and circum circle of a square are

    A)1:2
    B)3:5
    C)5:2
    D)2:3

    View Answer / Hide Answer

    ANSWER: A)1:2




    Q19.The minute- hand of a clock is 7cm long. The area of the face of the clock inscribed by the minute hand in 30 min is

    A)77cm 2
    B) 47cm 2
    C) 177cm 2
    D) 87cm 2

    View Answer / Hide Answer

    ANSWER: A)77cm 2




    Q20. The sum of areas of Two circles which touches internally is 116 Π cm 2 and distance b/w the circles is 6cm,then radius of the inner circle is

    A)3cm
    B)5cm
    C)4cm
    D)7cm

    View Answer / Hide Answer

    ANSWER: C)4cm




    Q21.The diagonal field measures 60m.Find the area of square field ?

    A) 1600m 2
    B) 400m 2
    C)1800m 2
    D) 2400m 2

    View Answer / Hide Answer

    ANSWER: C)1800m 2




    Q22. The area of an equilateral triangle is with side 8cm is

    A)16.81cm 2
    B)34cm 2
    C) 54cm 2
    D)27.71cm 2

    View Answer / Hide Answer

    ANSWER: D)27.71cm 2




    Q23.The area of a rhombus whose one side and one diagonal measure 20 cm and 24 cm respectively is

    A)232cm 2
    B)423cm 2
    C)384cm 2
    D)154cm 2

    View Answer / Hide Answer

    ANSWER: C)384cm 2




    Q24. Find the area if the circumference of a circle is 44m.

    A)154m 2
    B)14m 2
    C)124m 2
    D)214m 2

    View Answer / Hide Answer

    ANSWER: A)154m 2




    Q25. A room is 50m by 30 m. It has a uniform carpet 2 m wide all around it on the inside. Find the area of the path is

    A)156m 2
    B) 144m 2
    C) 148m 2
    D) 100m 2

    View Answer / Hide Answer

    ANSWER: A)156m 2




    Q26. Find the area of the rectangle if the length of a rectangle is 4cm more than its breadth and perimeter is 96cm.

    A) 324cm 2
    B) 224cm 2
    C) 272cm 2
    D)572cm 2

    View Answer / Hide Answer

    ANSWER: D)572cm 2




    Q27.If the perimeter of a rectangular field is 100 m and its breadth is 20m, then its area (in m 2 ) is

    A) 600m 2
    B) 1600m 2
    C) 1800m 2
    D) 200m 2

    View Answer / Hide Answer

    ANSWER: A) 600m 2




    Q28. In a circle of radius 22 cm, an arc subtends an angle of 52 ° at the centre. Find the length of an arc

    A)17.77cm
    B)21.05cm
    C)19.97cm
    D)22.22cm

    View Answer / Hide Answer

    ANSWER: C)19.97cm




    Q29. Find the sum of the length of two diagonals of a square is 220cm, then the perimeter of square is

    A)166.66 cm
    B)172.80cm
    C)188cm
    D)155.54 cm

    View Answer / Hide Answer

    ANSWER: D)155.54 cm




    Q30. An isosceles right angle triangle has area 72 cm 2 , then find the approx. length of hypotenuse?

    A)17cm
    B)24cm
    C)31cm
    D)34cm

    View Answer / Hide Answer

    ANSWER: A)17cm



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