Mensuration (2D)
Q1. One side of a rectangular lawn is 12 m and the diagonal is 13 m. Find the area of the field?
1) 30 m2 2) 45 m2 3) 60 m2 4) 90 m2 5) None
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Q2. The length of a rectangle is 1 cm more than its breadth. The diagonal is 29 cm. Find the area of the rectangle
1) 481 cm2 2) 841 cm2 3) 420 cm2 4) 870 cm2 5) None
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Q3. A rectangular grassy lawn is 18 m x 12 m. It has a gravel path 1.5 m wide all around it on the outside. Find area of path?
1) 99 m2 2) 100 m2 3) 101 m2 4) 102 m2 5) None
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Q4. The base of a right angled triangle is 8 cm and hypotenuse is 17 cm. Find the area.
1) 30 cm2 2) 40 cm2 3) 50 cm2 4) 60 cm2 5) None
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Q5. Find area of equilateral triangle whose side is 4 cm.
1) 12 cm2 2) 12 cm2 3) 36 cm2 4) 15 cm2 5) None
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Q6. The radius of a circular wheel is m. How many revolutions will it make in travelling 11 km?
1) 800 2) 960 3) 1000 4) 1020 5) None
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Q7. The parallel sides of a trapezoid are 8 m and 6 m and its altitude is 3 cm. Find the area of trapezoid.
1) 21 m2 2) 18 m2 3) 23 m2 4) 19 m2 5) None
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Q8. How many tiles 20 cm by 40 cm will be required to pave the floor of a prayer hall of a room 16 m long and 9 m wide?
1) 18000 2) 2700 3) 1800 4) 14400 5) None
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Q9. The ratio of the area of a square to that of the square drawn on its diagonal is
1) 1: 1 2) 1 :2 3) 1: 3 4) 1: 4 5) None
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Q10. A ladder lies between two buildings on a street. When it rests against one wall it touches a window which is 15 m high from ground and if it rests against the other wall it touches a window which is 24 m high from the ground. The ladder is 25 m long. Find the width of street
1) 23 2) 27 3) 28 4) 30 5) None
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Q11. Area of a rhombus is 256 cm2 One of the diagonal is half of the other diagonal. The sum of the diagonals is
1) 38 cm 2) 48 cm 3) 28 cm 4) 56 cm 5) None
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Q12. The circumference of a circle is 704 cm, then its area is
1) 49324 m2 2) 39424 m2 3) 3672 m2
4) 39424 m2 5) None
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Q13. The inner circumference of a circular path around a circular lawn is 440 m. What is the radius of the outer circumference of the path, if the path is 14 m wide?
1) 96 m 2) 84 m 3) 70 m 4) 88 m 5) None
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Q14. The sum of the radius and the circumference of a circle is 51 cm. The area of the circle is
1) 151 cm 2) 152 cm 3) 154 cm 4) 160 cm 5) None
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Q15. The area of a circular field is 124.74 hectares. The cost of fencing it at the rate of 80 paisa per metre is
1) 3168 2) 1584 3) 1729 4) 1864 5) None
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Q16. Four horses are tethered at four corners of a square plot of 42 m so that they just reach each other. The area left ungrazed is
1) 378 m2 2) 438 m2 3) 786 m2 4) 832 m2 5) None
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Q17. The largest size of bamboo that can be placed in a square of area 324 sq m, is
1) 18 m 2) 9 m 3) 18 m 4) 9 m 5) None
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Q18. The area of the largest circle that can be drawn inside a square of side 28 cm, is
1) 628 cm2 2) 542 cm2 3) 576 cm2 4) 616 cm2 5) None
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Q19. A circle and a rectangle have the same perimeter. The sides of the rectangle are 24 cm and 20 cm. What is the radius of the circle?
1) 14 cm 2) 7 cm 3) 21 cm 4) 28 cm 5) None
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Q20. The perimeter of a rhombus is 40 cm and the length of its smaller diagonal is 12 cm. The length of the longer diagonal is
1) 24 cm 2) 20 cm 3) 16 cm 4) 15 cm 5) None
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Q21. A circular garden has a circumference of 352 m. There is a 7m wide border inside the garden along its periphery. The area of the border is
1) 2615 m2 2) 2310 m2 3) 2412 m2 4) 2186 m2 5) None
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Q22. A wheel makes 2000 revolutions in covering a distance of 44 km. The diameter of the wheel is
1) 22 m 2) 28 in 3) 32 m 4) 36 m 5) None
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Q23. The area (in sq cm) of the regular hexagon whose perimeter is 12 cm, is
1) 18 2) 15 3)12 4) 6 5) None
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Q24. A rectangular field has dimensions 25 m by 15 m. Two mutually perpendicular passages, 2 m width have been left in its central part and grass has been grown in rest of the field. The areas (in sq metres) under the grass is
1) 295 2) 299 3) 300 4) 375 5) None
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Q25. A triangle has sides 8, 10 & 14 cm. Find the area.
1) 2) 3) 4) 5) None
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Q26. A triangle has sides 5, 6 & 7 cm. Find the height perpendicular to second largest side.
1) 2) 3) 4) 5) None
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Answers
1) 3 2) 3 3) 1 4) 4 5) 2 6) 3
7) 1 8) 3 9) 2 10) 2 11) 2 12) 2
13) 2 14) 3 15) 1 16) 1 17) 3 18) 4
19) 1 20) 3 21) 2 22) 5 23) 4 24) 2
25) 2 26) 1
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