6th Class Mental Ability Mensuration Question Bank

done Mensuration Total Questions - 40

• question_answer1)
  Find the perimeter of a rectangular field which is \[36\text{ }m\] long and \[24\text{ }m\] wide.
  A)
   \[100\,m\]                    done clear
  B)
   \[120\,m\]        done clear
  C)
        \[136\,m\]       done clear
  D)
        \[144\,m\] done clear
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• question_answer2)
  The area of a rectangle is\[56\,c{{m}^{2}}\]. If the breadth is \[7\text{ }cm,\]find the perimeter of the rectangle.
  A)
   \[45\,cm\]        done clear
  B)
        \[35\,cm\]        done clear
  C)
        \[30\,cm\]        done clear
  D)
        \[56\,cm\] done clear
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• question_answer3)
  How many tiles of dimensions and 5 cm are needed to cover a region whose length and breadth are 144 cm and 100 cm respectively?
  A)
   180                             done clear
  B)
   200                 done clear
  C)
        240                 done clear
  D)
        320 done clear
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• question_answer4)
  The length and breadth of a rectangular field are \[22.5\text{ }m\] and \[14.5\text{ }m\] respectively. Find the cost of fencing its four sides at the rate of Rs. 6 per metre.
  A)
   Rs. 888           done clear
  B)
        Rs.666            done clear
  C)
        Rs. 555           done clear
  D)
        Rs.444 done clear
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• question_answer5)
  The cost of levelling a rectangular ground at \[Rs.1.25\text{ }per\text{ }{{m}^{2}}\]is Rs.900. If the length of the ground is 30 m, find its breadth.
  A)
   16 m                           done clear
  B)
   18 m               done clear
  C)
        24 m               done clear
  D)
        28 m done clear
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• question_answer6)
  The perimeter of a rectangle is 126 cm and its breadth is 14 cm. Find the ratio of its perimeter to its length.
  A)
   \[2:3\]                          done clear
  B)
   \[4:7\]              done clear
  C)
   \[3:2\]              done clear
  D)
   \[18:7\] done clear
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• question_answer7)
  The ratio of the perimeter of a square field to that of a rectangular field is \[4:3\]. If each side of the square field is 7 m, find the width of the rectangular field given its length as 7 m.
  A)
   \[2\frac{1}{2}m\]                   done clear
  B)
   \[3\frac{1}{2}m\]       done clear
  C)
        \[4\frac{1}{2}m\]       done clear
  D)
        \[5\frac{1}{2}m\] done clear
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• question_answer8)
  The length and breadth of a rectangle are 9 cm and 4 cm respectively. A square of side x cm has the same area as that of the rectangle. Find the perimeter of the square.
  A)
   48 cm             done clear
  B)
        32 cm             done clear
  C)
        24 cm             done clear
  D)
        16 cm done clear
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• question_answer9)
  The length of a rectangle is 4 times as long as its breadth. If the length is 8 cm shorter and the breadth is 4 cm longer, a square is formed. What is the area of the rectangle?
  A)
   \[16\text{ }c{{m}^{2}}\]                 done clear
  B)
   \[\text{32 }c{{m}^{2}}\]     done clear
  C)
   \[\text{64 }c{{m}^{2}}\]                 done clear
  D)
   \[\text{80 }c{{m}^{2}}\] done clear
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• question_answer10)
  The length of a rectangle is twice the width. Its perimeter is 4 cm more than the length. Find its area in cm2.
  A)
   \[4c{{m}^{2}}\]     done clear
  B)
        \[3c{{m}^{2}}\]      done clear
  C)
        \[2c{{m}^{2}}\]                  done clear
  D)
        \[6c{{m}^{2}}\] done clear
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• question_answer11)
  How many different rectangles with integral measurements can be drawn with perimeter 32 cm?
  A)
   12                   done clear
  B)
        8                     done clear
  C)
        10                   done clear
  D)
        6 done clear
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• question_answer12)
  Find the side length of a square of area\[8.41\text{ }c{{m}^{2}}\].
  A)
   \[2.3\text{ }cm\]         done clear
  B)
        \[2.2\text{ }cm\]         done clear
  C)
        \[2.1\text{ }cm\]         done clear
  D)
        \[2.9\text{ }cm\] done clear
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• question_answer13)
  Find the perimeter of a square of area 1 hectare,              
  A)
   300 m             done clear
  B)
        400 m             done clear
  C)
        100 m             done clear
  D)
        200 m done clear
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• question_answer14)
  Five square flower beds each of side 1 m are dug on a piece of land 5 m long and 4 m wide. What is the area of the remaining part of the land?
  A)
   \[16\,{{m}^{2}}\]                done clear
  B)
        \[15\,{{m}^{2}}\]                done clear
  C)
        \[12\,{{m}^{2}}\]                done clear
  D)
        \[10\,{{m}^{2}}\] done clear
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• question_answer15)
  The area of a square field is 64 hectares. Find the cost of fencing it with wire at \[Rs.1.50\]per metre.
  A)
   Rs.4800          done clear
  B)
        Rs.6000          done clear
  C)
        Rs.3250          done clear
  D)
        Rs.2500 done clear
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• question_answer16)
  The ratio of the area of square X to that of square Y is\[81:144\]. Find the ratio of the length of the side of square X to that of square Y.
  A)
   \[9:11\]            done clear
  B)
        \[7:9\]              done clear
  C)
        \[4:3\]              done clear
  D)
        \[3:4\] done clear
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• question_answer17)
  If the area of the following figure is \[2304\text{ }c{{m}^{2}},\]find its side.
  A)
   69 cm             done clear
  B)
        48 cm             done clear
  C)
        75 cm             done clear
  D)
        54 cm done clear
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• question_answer18)
  The area of the floor of a rectangular hall of length \[40\text{ }m\] is the number of\[1200\text{ }{{m}^{2}}\]. Carpets of size \[6\text{ }m\times 4\text{ }m\] are available. Find the number of carpets required to cover the hall.
  A)
   36                   done clear
  B)
        48                   done clear
  C)
        50                   done clear
  D)
        64 done clear
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• question_answer19)
  Mr. Anil has an orchard of length and breadth 235 m and 143 m respectively. He wants to fence it with 4 rounds of barbed wire. Find the cost of fencing at Rs. 15 per metre.
  A)
   Rs.45360        done clear
  B)
   Rs.37250        done clear
  C)
        Rs.16230     done clear
  D)
        Rs.10415 done clear
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• question_answer20)
  A playing die is made hollow with the dimensions shown in the figure. What volume of air fills the die?
  A)
   \[125\text{ }cu.\text{ }cm\]                done clear
  B)
   \[186\,cu.cm\]             done clear
  C)
   \[620\,cu.cm\]             done clear
  D)
        \[216\,cu.cm\] done clear
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• question_answer21)
  How many boxes of dimensions \[4\text{ }cm\times 3\text{ }cm\times 2\text{ }cm\] can be packed in a carton of dimensions\[9\text{ }cm\times 8\text{ }cm\times 6\text{ }cm\]?
  A)
   12                   done clear
  B)
        18                   done clear
  C)
   24                   done clear
  D)
        36 done clear
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• question_answer22)
  Which of the following has the maximum capacity?
  A)
          done clear
  B)
           done clear
  C)
    done clear
  D)
         done clear
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• question_answer23)
  What is the volume of the structure shown if each block has a side of 2 cm?
  A)
   \[28\,cu.cm\]               done clear
  B)
        \[32\,cu.cm\]               done clear
  C)
        \[64\,cu.cm\]                           done clear
  D)
        \[128\,cu.cm\] done clear
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• question_answer24)
  Which of the following has the greatest volume if the volume of each cube in them is 1 cu. cm?
  A)
                    done clear
  B)
                 done clear
  C)
            done clear
  D)
         done clear
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• question_answer25)
  Identify the cubes of the same volume.
  A)
   Q and R                      done clear
  B)
        P and S                       done clear
  C)
        P and R                      done clear
  D)
        R and S done clear
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• question_answer26)
  How many cubical boxes of side 20 cm can be packed in a cubical carton of side 2 m?
  A)
   100000                       done clear
  B)
        100                             done clear
  C)
        10000                         done clear
  D)
        1000               done clear
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• question_answer27)
  A cubical tank has one of its sides 130 cm. What is the capacity of the tank?
  A)
   2.197 cu. m    done clear
  B)
        21.97 cu. m    done clear
  C)
                    2197 cu. m                 done clear
  D)
        219.7cu.rn done clear
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• question_answer28)
  Identify the solid which has a different volume than the others?
  A)
               done clear
  B)
                 done clear
  C)
          done clear
  D)
         done clear
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• question_answer29)
  Two boxes P and Q of different dimensions are shown in the figure. How many times the volume of box Q is the volume of box P?
  A)
   \[\frac{1}{8}\]                        done clear
  B)
        8                                 done clear
  C)
        4                                 done clear
  D)
        6 done clear
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• question_answer30)
  The area of the base of a cubical tank is 19600 sq. m. What is its volume?
  A)
   2744000 cu. m           done clear
  B)
        274900 cu. m done clear
  C)
        27440000 cu. m         done clear
  D)
        274400 cu. m done clear
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• question_answer31)
      The length and breadth of a rectangular field are in the ratio\[3:2\]. If the area of the field is \[3456\text{ }{{m}^{2}},\] find the cost of fencing the field at Rs.3.50 per metre.
  A)
   Rs.960                        done clear
  B)
        Rs.840                        done clear
  C)
        Rs.750                        done clear
  D)
        Rs.645 done clear
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• question_answer32)
  The chart shows that number of sides of each of the four shapes K,L,M and N. The length of each side of K, L, M and N is 4 cm. Find the total perimeter, in cm, of all the four shapes.
  A)
   44                               done clear
  B)
        48                               done clear
  C)
        176                             done clear
  D)
        192 done clear
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• question_answer33)
  Find the perimeter of the figure given.
  A)
   \[46.7cm\]                   done clear
  B)
        \[72.6cm\]                   done clear
  C)
        \[55.4\text{ }cm\]                   done clear
  D)
        \[69.3\text{ }cm\] done clear
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• question_answer34)
  Find the area of the shaded figure.
  A)
   2400 sq. m     done clear
  B)
        48 sq. m          done clear
  C)
        50 sq. m      done clear
  D)
        98 sq. m done clear
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• question_answer35)
  The area of a rectangle B is \[0.36\text{ }{{m}^{2}}\] more than the area of square. What is the ratio of the perimeter of square A to the perimeter of rectangle B?
  A)
   \[2:3\]                          done clear
  B)
        \[15:16\]          done clear
  C)
        \[25:26\]                      done clear
  D)
        \[30:31\] done clear
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• question_answer36)
  The perimeter of a square is 28 cm. How is it expressed as a fraction of its area?
  A)
   \[2:3\]                          done clear
  B)
        \[4:7\]              done clear
  C)
        \[3:2\]                          done clear
  D)
        \[7:4\] done clear
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• question_answer37)
  After a roll of wire was used to make 7 identical rectangles of dimensions shown in the figure, 38 cm of it was left. How long was the roll of wire?
  A)
   736 cm                       done clear
  B)
        958 cm                       done clear
  C)
        892 cm                       done clear
  D)
        644 cm done clear
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• question_answer38)
  The figure shows a cube of volume\[216c{{m}^{3}}\]. How long is the side of one of its faces?
  A)
   6 cm                           done clear
  B)
        36 cm                         done clear
  C)
        8 cm                           done clear
  D)
        7 cm done clear
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• question_answer39)
  Which statement about the given rectangles is true?
  A)
   They have different areas. done clear
  B)
        They have the same area. done clear
  C)
        They have the same lengths. done clear
  D)
        They have different perimeters. done clear
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• question_answer40)
  Find the volume of the box shown in the figure.
  A)
   \[256\text{ }c{{m}^{3}}\]               done clear
  B)
        \[192\text{ }c{{m}^{3}}\]               done clear
  C)
        \[144\text{ }c{{m}^{3}}\]                           done clear
  D)
        \[196\text{ }c{{m}^{3}}\] done clear
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