6th Class Mathematics Mensuration Question Bank

done Menstruation Total Questions - 80

• question_answer1)
  Length and breadth of a rectangle are 3.2 m and 150 cm. Then the area is
  A)
   48 sq cm                     done clear
  B)
   4.8\[c{{m}^{2}}\] done clear
  C)
   4.8 sq m          done clear
  D)
     48\[c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer2)
  The perimeter of a square is................. times the length of the side.
  A)
   2                     done clear
  B)
     3 done clear
  C)
   4                     done clear
  D)
     None of these done clear
  View Solution play_arrow

• question_answer3)
  A playground which is 250 m long and 20 m broad is to be fenced with wire. How much wire is needed?
  A)
   270m              done clear
  B)
     230m done clear
  C)
   540m              done clear
  D)
     None of these done clear
  View Solution play_arrow

• question_answer4)
  The length of a rectangle is \[\frac{6}{5}\] th of its breadth. If its perimeter is 132m, its area will be............
  A)
        \[1,080\,{{m}^{2}}\]           done clear
  B)
     \[640\,{{m}^{2}}\] done clear
  C)
   \[1,620\,{{m}^{2}}\]           done clear
  D)
     \[2,160\,{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer5)
  The length of diagonal of a square whose area is 16900\[{{m}^{2}}\] is
  A)
   130m              done clear
  B)
     \[130\sqrt{2}\,m\] done clear
  C)
   169m              done clear
  D)
     144m done clear
  View Solution play_arrow

• question_answer6)
  What change in percent is made in the area of a rectangle by decreasing its length and increasing its breadth by 5%?
  A)
   2.5% increase done clear
  B)
   0.25% increase done clear
  C)
   0.25% decrease done clear
  D)
   2.5% decrease done clear
  View Solution play_arrow

• question_answer7)
  The length of a rectangle is increased by 60% By what percentage would be the width have to be decreased to maintain the same area?
  A)
   \[37\frac{1}{2}%\]                done clear
  B)
     60% done clear
  C)
   75%                done clear
  D)
     120% done clear
  View Solution play_arrow

• question_answer8)
  The area of a triangle with each side equals 5.1 metres and the third side 4.6 metres is
  A)
   10.47sq. m      done clear
  B)
     2.86 sq. m done clear
  C)
   10.45sq. m       done clear
  D)
     None of these done clear
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• question_answer9)
  If the length of a rectangle is increased by 50% and its breadth is decreased by 25%, what is the change percent in its area?
  A)
   12.5% increase done clear
  B)
                 10% increase done clear
  C)
   25% increase              done clear
  D)
   20% increase done clear
  View Solution play_arrow

• question_answer10)
  The breadth of a rectangle is 19 cm. Its length is 3 times longer than its breadth. Find the area of the rectangle.
  A)
   152\[c{{m}^{2}}\]         done clear
  B)
     418\[c{{m}^{2}}\] done clear
  C)
   1083\[c{{m}^{2}}\]        done clear
  D)
     1140\[c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer11)
  The perimeter of a square and an equilateral triangle are same. If the side of an equilateral triangle is 8 cm, what is the area of the square?
  A)
   16 sq.cm        done clear
  B)
                 8 sq.cm done clear
  C)
   24 sq. cm        done clear
  D)
     36 sq. cm done clear
  View Solution play_arrow

• question_answer12)
  A boy runs six rounds around a rectangular park whose length and breadth are 200 m and 50m. Find how much distance did he run in six rounds?
  A)
   1500m            done clear
  B)
     3km done clear
  C)
   500m              done clear
  D)
     1km done clear
  View Solution play_arrow

• question_answer13)
  The perimeter of an equilateral triangle and of a square measure the same. Which of the following can be the measures of the side of the equilateral triangle and of the square?
  A)
   Equilateral triangle = 9 cm; Square = 12cm done clear
  B)
   Equilateral triangle = 12 cm; Square = 9 cm done clear
  C)
  C. Equilateral triangle =15 cm; Square = 10cm done clear
  D)
  D. Equilateral triangle = 6 cm; Square = 4 cm done clear
  View Solution play_arrow

• question_answer14)
  Two cubes have volume in the ratio 1 : 27. The ratio of the area of the face of one cube to that of the other is
  A)
   1 : 3                done clear
  B)
     1 : 9 done clear
  C)
   1 : 6                done clear
  D)
     1 :8 done clear
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• question_answer15)
  The volume of a cube is V. The total length of its edges is:
  A)
   \[6{{V}^{2/3}}\]                 done clear
  B)
   \[8\sqrt{V}\] done clear
  C)
   \[12{{V}^{2/3}}\]   done clear
  D)
     \[12{{V}^{1/3}}\] done clear
  View Solution play_arrow

• question_answer16)
  The perimeter of one face of a cube is 20 cm. Its volume must be
  A)
   8000\[c{{m}^{3}}\]            done clear
  B)
     1000\[c{{m}^{3}}\] done clear
  C)
   125\[c{{m}^{3}}\]              done clear
  D)
     400\[c{{m}^{3}}\] done clear
  View Solution play_arrow

• question_answer17)
  Cubes and cuboids are the examples of
  A)
   irregular solids done clear
  B)
   rectangular solids done clear
  C)
   two-dimensional solids done clear
  D)
   None of these done clear
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• question_answer18)
  What would happen to the volume and surface area of cuboid if all its dimensions are doubled?
  A)
   New volume-4 (original volume) New surface area = 4 (original surface area) done clear
  B)
   New volume = 8 (original volume) New surface area = 4 (original surface area) done clear
  C)
   New volume = 4 (original volume) New surface area = 8 (original surface area) done clear
  D)
   New volume = 8 (original volume) New surface area = 8 (original surface area) done clear
  View Solution play_arrow

• question_answer19)
  The side of a square is 10 cm. How many times will the new perimeter become if the side of the square is doubled?
  A)
   2 times            done clear
  B)
     4 times done clear
  C)
   6 times            done clear
  D)
     8 times done clear
  View Solution play_arrow

• question_answer20)
  Fill in the blanks by choosing the correct option. (i) A cube is a special type of______. (ii) In a cuboid, if all the dimensions are equal then the solid is called a ______. (iii) A line segment whose end points lie on the circle is called______ to the circle. (iv) Each face of the cuboid is ______.
  A)
   (i) - cube; (ii) - cuboid; (iii) - secant; (iv) - square. done clear
  B)
   (i) - cube; (ii) - cuboid; (iii) - tangent; (iv) - square. done clear
  C)
   (i) - cuboid; (ii) - cube; (iii) - secant; (iv) - rectangular. done clear
  D)
   (i) - cuboid; (ii) - cube; (iii) - chord; (iv) - rectangular. done clear
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• question_answer21)
  DIRECTIONS: Match Column-I with Column-II and select the correct answer using the codes given below the columns.
  A)
   \[A\to (t);\,B\to (s);\,C\to (r);\,D\to (p);\,E\to (q)\] done clear
  B)
   \[A\to (t);\,B\to (s);\,C\to (q);\,D\to (p);\,E\to (r)\] done clear
  C)
   \[A\to (s);\,B\to (t);\,C\to (p);\,D\to (q);\,E\to (r)\] done clear
  D)
   \[A\to (s);\,B\to (t);\,C\to (q);\,D\to (p);\,E\to (r)\] done clear
  View Solution play_arrow

• question_answer22)
  DIRECTIONS: Passage-1 Read the passage(s) given below and answer the questions that follow.   "In the figure, ABC and DEF are quadrants of radius 7 cm. The shaded portion is a square of side 3 cm. What is the area of the figure including the shaded portion. \[\left( \pi =\frac{22}{7} \right)\]
  A)
  \[34\,c{{m}^{2}}\]               done clear
  B)
   \[38.5\,c{{m}^{2}}\] done clear
  C)
   \[77\,c{{m}^{2}}\]  done clear
  D)
     \[163\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer23)
  DIRECTIONS: Passage-1 Read the passage(s) given below and answer the questions that follow.   "In the figure, ABC and DEF are quadrants of radius 7 cm. The shaded portion is a square of side 3 cm. What is the total area of the quadrants ABC and DEF?
  A)
   \[154\,c{{m}^{2}}\]            done clear
  B)
     \[38.5\,c{{m}^{2}}\] done clear
  C)
   \[77\,c{{m}^{2}}\] done clear
  D)
     \[34\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer24)
  DIRECTIONS: Passage-2 Read the passage(s) given below and answer the questions that follow. 'Observe the figure carefully and answer the questions that follows. Area of the shaded portion is
  A)
   \[116\,c{{m}^{2}}\]            done clear
  B)
     \[616\,c{{m}^{2}}\] done clear
  C)
   \[176\,c{{m}^{2}}\]            done clear
  D)
     \[308\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer25)
  DIRECTIONS: Passage-2 Read the passage(s) given below and answer the questions that follow. 'Observe the figure carefully and answer the questions that follows. Perimeter of the given figure is
  A)
   116cm            done clear
  B)
     616cm done clear
  C)
   176cm            done clear
  D)
     308cm done clear
  View Solution play_arrow

• question_answer26)
  Consider the following statements: (i) The perimeter of a square is four times the length of the side. (ii) If the length and breadth of a rectangle are doubled then its perimeter is doubled.
  A)
   (i) is true while (ii) is false. done clear
  B)
   (ii) is true while (i) is false. done clear
  C)
   Both (i) and (ii) are true. done clear
  D)
   Both (i) and (ii) are false. done clear
  View Solution play_arrow

• question_answer27)
  Consider the following statements. (i) The face of a solid is two - dimensional in shape. (ii) Volume of the solid is measured in cubic units. (iii) Perimeter of a triangle with sides a, b, c is 3a + 3b + 3c. Read the above three statements carefully and choose the correct option.
  A)
   (i) and (ii) are true but (iii) is false. done clear
  B)
   (ii) and (iii) are true but (i) is false. done clear
  C)
   All three (i), (ii) and (iii) are true. done clear
  D)
   All three (i), (ii) and (iii) are false. done clear
  View Solution play_arrow

• question_answer28)
  Choose the correct definition from the following. (i) The amount of space enclosed by the bounding surface is called the volume of the solid. (ii) In a cuboid, if all the dimensions are not equal then the solid is called a cube. (iii) A rectangle is a closed figure having four sides, in which all sides are equal and each angle measures\[60{}^\circ \].
  A)
   Only    (i)           done clear
  B)
     Only (i) and (iii) done clear
  C)
   Only (ii) and   (iii)       done clear
  D)
   Only (ii) done clear
  View Solution play_arrow

• question_answer29)
  Read the diagram given below carefully and answer the questions that follow Area of shaded regions
  A)
   \[641\,c{{m}^{2}}\]            done clear
  B)
     \[164\,c{{m}^{2}}\] done clear
  C)
   \[224\,c{{m}^{2}}\]            done clear
  D)
     \[160\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer30)
  Read the diagram given below carefully and answer the questions that follow Area of ABEF is
  A)
   \[26\,c{{m}^{2}}\]  done clear
  B)
     \[14\,c{{m}^{2}}\] done clear
  C)
   \[12\,c{{m}^{2}}\]  done clear
  D)
     \[168\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer31)
  Read the diagram given below carefully and answer the questions that follow If the shaded portion is cut out from the whole figure then the area of remaining figure is
  A)
   \[164\,c{{m}^{2}}\]            done clear
  B)
     \[168\,c{{m}^{2}}\] done clear
  C)
   \[124\,c{{m}^{2}}\]            done clear
  D)
     \[142\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer32)
  Observe the figure carefully and answer the question. In the given figure, O and P are the centres of two equal three-quarter circles. The length of OP is 14 cm. The perimeter of the figure is \[\left( \text{use}\,=\pi =\frac{22}{7} \right)\]  
  A)
   50                   done clear
  B)
     94 done clear
  C)
   49                   done clear
  D)
     95 done clear
  View Solution play_arrow

• question_answer33)
  Area of the shaded region is  
  A)
        96 sq. m                      done clear
  B)
   15 sq. m done clear
  C)
   81 sq. m          done clear
  D)
     111 sq. m done clear
  View Solution play_arrow

• question_answer34)
  Area of the shaded figure is              
  A)
               2400 sq m                   done clear
  B)
   48 sq m done clear
  C)
   50 sq m           done clear
  D)
                 98 sq m done clear
  View Solution play_arrow

• question_answer35)
  Find the area of the figure shown below.
  A)
        9 sq. cm          done clear
  B)
     10 sq. cm done clear
  C)
   11 sq. cm        done clear
  D)
     15 sq. cm done clear
  View Solution play_arrow

• question_answer36)
   Find the area of the shaded portion in the figure.
  A)
        \[12\,c{{m}^{2}}\]  done clear
  B)
     \[20\,c{{m}^{2}}\] done clear
  C)
   \[36\,c{{m}^{2}}\]  done clear
  D)
     \[48\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer37)
  What is the total area of the 2 identical squares shown below?
  A)
   \[32\,c{{m}^{2}}\]  done clear
  B)
     \[64\,c{{m}^{2}}\] done clear
  C)
   \[128\,c{{m}^{2}}\]            done clear
  D)
     \[135\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer38)
  Find the area of shaded portion if radii of inner and outer circle are 210 mm and 224 mm respectively.            
  A)
   19096 sq. mm done clear
  B)
   47040 sq. mm done clear
  C)
   13860 sq. mm done clear
  D)
     21624 sq. mm done clear
  View Solution play_arrow

• question_answer39)
  A rectangular lawn 12m long and 7 m wide has path 2 m wide all around it from outside. Find the area of the path around the lawn.  
  A)
   176sq.m          done clear
  B)
   92sq.m done clear
  C)
   84 sq. m                      done clear
  D)
   None of these done clear
  View Solution play_arrow

• question_answer40)
  Find the area of figure given below  
  A)
   5 sq. units        done clear
  B)
   6 sq. units done clear
  C)
   7 sq. units        done clear
  D)
   8 sq. units done clear
  View Solution play_arrow

• question_answer41)
  The length and breadth of a rectangular plot are 900 m and 700 m respectively. If three rounds offence is fixed around the field at the cost of Rs. 8 per meter, the total amount spent is
  A)
   Rs. 768           done clear
  B)
                 Rs. 7680 done clear
  C)
   Rs. 76, 800     done clear
  D)
                 Rs. 768, 000 done clear
  View Solution play_arrow

• question_answer42)
  The sides of a triangle are 11 cm, 15 cm and 16 cm. The altitude to largest side is
  A)
   \[30\sqrt{7}cm\]         done clear
  B)
     \[\frac{15\sqrt{7}}{2}cm\] done clear
  C)
   \[\frac{15\sqrt{7}}{4}\,cm\] done clear
  D)
     30 cm done clear
  View Solution play_arrow

• question_answer43)
  The ratio between the length and the perimeter of a rectangular plot is 1 : 3 and the ratio between the breadth and perimeter of that plot is 1 : 6. What is the ratio between the length and area of that plot?
  A)
   2 : 1                done clear
  B)
     1 : 6 done clear
  C)
   1 : 8                done clear
  D)
     Data inadequate done clear
  View Solution play_arrow

• question_answer44)
  A rectangular carpet has an area of 120 \[{{m}^{2}}\]and a perimeter of 46 m. The length of its diagonal is
  A)
   15m                done clear
  B)
     16m done clear
  C)
   17m                done clear
  D)
     20m done clear
  View Solution play_arrow

• question_answer45)
  A man walked 20 m to cross a rectangular field diagonally If the length of the field is 16 m, the breadth of the field is
  A)
   4 m                 done clear
  B)
     16m done clear
  C)
   12m done clear
  D)
   cannot be determined done clear
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• question_answer46)
  The perimeter of a rectangle is 36 cm. The measure of its length and breadth are natural. How many such rectangles are possible?
  A)
   2                     done clear
  B)
     8 done clear
  C)
   9                     done clear
  D)
     18 done clear
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• question_answer47)
  The volume of a cube is numerically equal to the sum of the lengths of its edges. What is its total surface area in square units?
  A)
   64                   done clear
  B)
     144 done clear
  C)
   36                   done clear
  D)
     72 done clear
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• question_answer48)
  Three cubes of a metal are of edges 3 cm, 4 cm and 5 cm. These are melted together and from the melted material, another cube is formed. The edge of this cube is
  A)
   8 cm               done clear
  B)
     10 cm done clear
  C)
   9cm                done clear
  D)
     6cm done clear
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• question_answer49)
  The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. The length, breadth and height of the cuboid are increased by 100%, 200% and 200%, respectively. Then, the increase in the volume of the cuboid will be:
  A)
   5 times             done clear
  B)
     6 times done clear
  C)
   12 times            done clear
  D)
     17 times done clear
  View Solution play_arrow

• question_answer50)
  The number of revolutions made by a wheel of diameter 56 cm in covering a distance of 1.1 km is \[\left( \text{Use}\,\pi =\frac{22}{7} \right)\]
  A)
   31.25               done clear
  B)
     56.25 done clear
  C)
   625                done clear
  D)
     62.5 done clear
  View Solution play_arrow

• question_answer51)
  Let A be the area of a square inscribed in a circle of a radius r and let B be the area of a hexagon inscribed in the same circle. Then the ratio \[\frac{B}{A}\] equals
  A)
   \[2\sqrt{3}\]    done clear
  B)
     \[\frac{3\sqrt{3}}{4}\] done clear
  C)
   \[\frac{2\sqrt{3}}{4}\]           done clear
  D)
     None of these done clear
  View Solution play_arrow

• question_answer52)
  From a square sheet of paper a circle of maximum possible size is cut. The area of the remaining portion is
  A)
   Equal to \[\frac{1}{4}\] the area of the circle. done clear
  B)
   Greater than \[\frac{1}{4}\] the area of the circle done clear
  C)
   Less than \[\frac{1}{4}\] the area of the circle done clear
  D)
   Equal to \[\frac{1}{4}\] the area of the square. done clear
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• question_answer53)
  Venu jogged round a rectangular field 4 times. If the rectangular field was 135 m long and 78 m wide, how far did Venu jog?
  A)
   426 m             done clear
  B)
     852 m done clear
  C)
   1278 m          done clear
  D)
     1704 m done clear
  View Solution play_arrow

• question_answer54)
  What is the distance around a rectangular pond if the area of the pond is 80 \[{{m}^{2}}\] and its breadth is 5m?
  A)
   16m                done clear
  B)
     32m done clear
  C)
   42m done clear
  D)
     75m done clear
  View Solution play_arrow

• question_answer55)
  DIRECTIONS: Match Column-I with Column-II and select the correct answer using the codes given below the columns. Choose the correct option
  A)
   \[A\to (t);\,B\to (s);\,C\to (r);\,D\to (q);\,E\to (p)\] done clear
  B)
   \[A\to (t);\,B\to (s);\,C\to (q);\,D\to (r);\,E\to (p)\] done clear
  C)
   \[A\to (s);\,B\to (t);\,C\to (q);\,D\to (r);\,E\to (p)\] done clear
  D)
   \[A\to (s);\,B\to (q);\,C\to (t);\,D\to (p);\,E\to (r)\]   done clear
  View Solution play_arrow

• question_answer56)
  DIRECTIONS: Passage-1 Read the passage(s) given below and answer the questions that follow. Read the information given below. A circular disc of area \[{{A}_{1}}\] is given with its radius as the diameter for a circular disc of area \[{{A}_{2}}\] is cut out of it. The area of the remaining disc is denoted by \[{{A}_{3}}\] then (i) \[{{A}_{1}}{{A}_{3}}<16A_{2}^{2}\] (ii)\[{{A}_{1}}{{A}_{3}}\,>16A_{2}^{2}\] (iii) \[{{A}_{1}}{{A}_{3}}=16A_{2}^{2}\] Which of the following is correct?
  A)
   Only (i)           done clear
  B)
     Only (ii) done clear
  C)
   Only (iii)         done clear
  D)
     None of these done clear
  View Solution play_arrow

• question_answer57)
  DIRECTIONS: Passage-2 Read the passage(s) given below and answer the questions that follow. Following is the arrangement of various rooms in a house.   Answer the following questions. Perimeter of floor of wash room is
  A)
   4m                  done clear
  B)
     3m done clear
  C)
   12m                done clear
  D)
     7m done clear
  View Solution play_arrow

• question_answer58)
  DIRECTIONS: Passage-2 Read the passage(s) given below and answer the questions that follow. Following is the arrangement of various rooms in a house.   Answer the following questions. Area of bedroom is
  A)
   \[20\,{{m}^{2}}\]    done clear
  B)
     \[99\,{{m}^{2}}\] done clear
  C)
   \[88\,{{m}^{2}}\]    done clear
  D)
     \[72{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer59)
  DIRECTIONS: Passage-2 Read the passage(s) given below and answer the questions that follow. Following is the arrangement of various rooms in a house.   Answer the following questions. If Mr. Verma wants to construct a lawn from the portion of living room then the perimeter of lawn is
  A)
   12m                done clear
  B)
     5m done clear
  C)
   12.5m             done clear
  D)
     5.12m done clear
  View Solution play_arrow

• question_answer60)
  DIRECTIONS: Passage-3 Read the passage(s) given below and answer the questions that follow. In the given diagram, the shaded region is a large circle with a small circle cut out of it. The large circle has radius 30 cm and centre H. HK is the diameter of the small circle. Find the area of shaded region.
  A)
   \[2121.74\,c{{m}^{2}}\]     done clear
  B)
     \[2011.14\,c{{m}^{2}}\] done clear
  C)
   \[200.4\,c{{m}^{2}}\]         done clear
  D)
     \[1904.44\,c{{m}^{2}}\] done clear
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• question_answer61)
  DIRECTIONS: Passage-3 Read the passage(s) given below and answer the questions that follow. In the given diagram, the shaded region is a large circle with a small circle cut out of it. The large circle has radius 30 cm and centre H. HK is the diameter of the small circle. Find the perimeter of the shaded region.
  A)
   280.5cm        done clear
  B)
     282.85cm done clear
  C)
   285cm            done clear
  D)
     283.5cm done clear
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• question_answer62)
  DIRECTIONS: Passage-4 Read the passage(s) given below and answer the questions that follow. The perimeter of a large triangle ABC is 24 cm. Find area of ADEF. D, E and F are mid points of AB, AC and BC respectively.  
  A)
   \[2\sqrt{3}\,c{{m}^{2}}\]   done clear
  B)
     \[2\sqrt{4}\,c{{m}^{2}}\] done clear
  C)
   \[3c{{m}^{2}}\]      done clear
  D)
     \[3\sqrt{3}\,c{{m}^{2}}\] done clear
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• question_answer63)
  DIRECTIONS: Passage-5 Read the passage(s) given below and answer the questions that follow. The area of a circle whose radius is 6 cm is trisected by two concentric circles. The radius of smallest circle is \[2\sqrt{3}\,cm\].
  A)
  done clear
  B)
  done clear
  C)
  done clear
  D)
  done clear
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• question_answer64)
  DIRECTIONS: The questions in this segment consists of two statements, one labelled as "assertion A" and the other labelled as "reason R ". You are to examine these two statements carefully and decide if the assertion A and reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: If a square has a length of 4 cm, then its perimeter is 8 cm. Reason (R): Perimeter of a square is given by the summation of all of its sides.
  A)
    Both A and R are true and R is the correct explanation of A. done clear
  B)
   Both A and R are true but R is not the correct explanation of A. done clear
  C)
     A is true but R is false. done clear
  D)
    A is false but R is true. done clear
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• question_answer65)
  DIRECTIONS: The questions in this segment consists of two statements, one labelled as "assertion A" and the other labelled as "reason R ". You are to examine these two statements carefully and decide if the assertion A and reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: If base and height of a triangle are 6 cm and 8 cm respectively, they its area is \[24\,c{{m}^{2}}\]. Reason (R): Area of a triangle \[=\frac{1}{2}\times \] base x height.
  A)
    Both A and R are true and R is the correct explanation of A. done clear
  B)
   Both A and R are true but R is not the correct explanation of A. done clear
  C)
     A is true but R is false. done clear
  D)
    A is false but R is true. done clear
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• question_answer66)
  Consider the following statements (i) A rectangle of length 9 cm and width 4 cm has greater area than a square of side 6 cm (ii) Rectangle and square, both have the same area.
  A)
   (i) is true and (ii) is false. done clear
  B)
   (ii) is true and (i) is false. done clear
  C)
   Both (i) and (ii) are true. done clear
  D)
   Both (i) and (ii) are false. done clear
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• question_answer67)
  Read the following statements and choose the correct answer.  (i) If the circumference of a circle increases from 4p to 8p then new area = 4 x original area. (ii) When the circumference of a toy balloon is increased from 20 cm to 25 cm, its radius (in cm) is increased by \[\frac{5}{2\pi }\].
  A)
   (i) is true while (ii) is false. done clear
  B)
   (i) is false while (ii) is true. done clear
  C)
   Both (i) and (ii) are true. done clear
  D)
   Both (i) and (ii) are false. done clear
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• question_answer68)
  Length and breadth of a rectangular sheet of paper are 20 cm and 10 cm, respectively. A rectangular piece is cut from the sheet as shown in Fig. Which of the following statements is correct for the remaining sheet? 
  A)
   Perimeter remains same but area changes. done clear
  B)
   Area remains the same but perimeter changes. done clear
  C)
   Both area and perimeter are changing. done clear
  D)
   Both area and perimeter remain the same. done clear
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• question_answer69)
  Find the area of shaded region if the perimeter of the square is 56 cm.
  A)
   196 sq.cm done clear
  B)
   98 sq.cm done clear
  C)
   154 sq.cm done clear
  D)
   42 sq.cm done clear
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• question_answer70)
  Sketch of a plot is given. Its dimensions are mentioned. Find the cost of levelling the plot at Rs.. 12 per \[{{m}^{2}}\].
  A)
   Rs. 1,760           done clear
  B)
     Rs. 480 done clear
  C)
   Rs. 552                       done clear
  D)
   Rs. 912 done clear
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• question_answer71)
  In the adjoining figure. A, B, C and D are mid points of PS, PQ, QR, RS. respectively. The length and breadth of rectangle PQRS. are 25 cm and 18 cm respectively. Find the area of shaded portion.  
  A)
   450 sq. cm       done clear
  B)
     112.5 sq. cm done clear
  C)
   350 sq. cm       done clear
  D)
     225 sq. cm done clear
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• question_answer72)
  The figure below is made up of a square and 2 rectangles. Study the figure carefully and answer questions 25 and 26. The perimeter of the figure is _______cm.
  A)
   52                   done clear
  B)
     58 done clear
  C)
   62                   done clear
  D)
     66 done clear
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• question_answer73)
  The figure below is made up of a square and 2 rectangles. Study the figure carefully and answer questions 25 and 26. The sum of the areas of the two rectangles is bigger than the area of the square by ______ \[c{{m}^{2}}\].
  A)
   10                   done clear
  B)
     14 done clear
  C)
   32                   done clear
  D)
     36 done clear
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• question_answer74)
  Two wires of similar lengths are used to form a rectangle and an equilateral triangle.   The length of each side of the triangle is
  A)
   6cm                done clear
  B)
     12cm done clear
  C)
   24cm             done clear
  D)
     36cm done clear
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• question_answer75)
  The area of the shaded face of the cuboid is\[32\text{ }c{{m}^{2}}\]. Its height is 4 cm. What is its volume?  
  A)
   \[28\,c{{m}^{3}}\]  done clear
  B)
     \[36\,c{{m}^{3}}\] done clear
  C)
   \[128\,c{{m}^{3}}\]            done clear
  D)
     \[136\,c{{m}^{3}}\] done clear
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• question_answer76)
  The ratio of the area of X to the area of Y is 5 : 8. If the area of Y is \[160\text{ }c{{m}^{2}}\], then total area of X and Y is     
  A)
   \[260\,c{{m}^{2}}\]            done clear
  B)
     \[100\,c{{m}^{2}}\] done clear
  C)
   \[200\,c{{m}^{2}}\]            done clear
  D)
     \[206\,c{{m}^{2}}\] done clear
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• question_answer77)
  Given figure shows a semicircle in a quadrant. The perimeter of the shaded part is \[\left( \text{use}\,\pi =\frac{22}{7} \right)\]
  A)
   44cm              done clear
  B)
     88cm done clear
  C)
   116cm           done clear
  D)
     72cm done clear
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• question_answer78)
  On the basis of following information answer the questions given below:   A square and 2 semicircles were cutout from a square cardboard as shown in the figure. (use \[\pi =3.14\]) The area of cardboard cutout is
  A)
   \[324\,c{{m}^{2}}\]            done clear
  B)
     \[400\,c{{m}^{2}}\] done clear
  C)
   \[714\,c{{m}^{2}}\]            done clear
  D)
     \[314\,c{{m}^{2}}\]  done clear
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• question_answer79)
  On the basis of following information answer the questions given below:   A square and 2 semicircles were cutout from a square cardboard as shown in the figure. (use \[\pi =3.14\]) The area of cardboard left is
  A)
   \[714\,c{{m}^{2}}\]            done clear
  B)
     \[900\,c{{m}^{2}}\] done clear
  C)
   \[300\,c{{m}^{2}}\]            done clear
  D)
     \[186c{{m}^{2}}\] done clear
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• question_answer80)
  A square piece of paper is folded as shown in the figure. If the area of each shaded triangles is 225 cm2, then the perimeter of the piece of the paper when it is unfolded, is
  A)
   100cm           done clear
  B)
     120cm done clear
  C)
   125cm            done clear
  D)
     60cm done clear
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