Banking Quantitative Aptitude Mensuration Question Bank

done Mensuration Total Questions - 30

• question_answer1)
  What will be the area of trapezium whose parallel sides are 22 cm and 16 cm long, and the distance between them is 11 cm?
  A)
   \[209\text{ }c{{m}^{2}}\] done clear
  B)
   \[282\text{ }c{{m}^{2}}\] done clear
  C)
   \[265\text{ }c{{m}^{2}}\] done clear
  D)
   \[179\text{ }c{{m}^{2}}\] done clear
  E)
   \[302\text{ }c{{m}^{2}}\] done clear
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• question_answer2)
  The perimeter of a rectangle is 42 m. If the area of the square formed on the diagonal of the rectangle as its side is \[1\frac{1}{12}%\] more than the area of the rectangle, find the longer side of the rectangle.
  A)
   19 m done clear
  B)
   16 m done clear
  C)
   9 m done clear
  D)
   5 m done clear
  E)
   12 m done clear
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• question_answer3)
  At the rate of Rs. 2 per sq m, cost of painting a rectangular floor is Rs 5760. If the length of the floor is 80% more than its breadth, then what is the length of the floor?
  A)
   25 m done clear
  B)
   72 m done clear
  C)
   67 m done clear
  D)
   56 m done clear
  E)
   46 m done clear
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• question_answer4)
  A 7 m wide path is to be made around a circular garden having a diameter of 7 m. What will be the area of the path in square meter?
  A)
   298 done clear
  B)
   256 done clear
  C)
   308 done clear
  D)
   365 done clear
  E)
   387 done clear
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• question_answer5)
  The perimeter of a rectangle of length 62 cm and breadth 50 cm is four times perimeter of a square. What will be the circumference of a semicircle whose diameter is equal to the side of the given square?
  A)
   36 cm done clear
  B)
   25 cm done clear
  C)
   29 cm done clear
  D)
   17 cm done clear
  E)
   16 cm done clear
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• question_answer6)
  If the four equal circles of diameter is 6 meter touches its adjacent circle, then find the area of the region bounded by the four circles.
  A)
   \[(35-9\pi ){{m}^{2}}\] done clear
  B)
   \[\left( 36\text{ }-\text{ }8\pi  \right)\text{ }{{m}^{2}}\] done clear
  C)
   \[\left( 36-9\pi  \right)\text{ }{{m}^{2}}\] done clear
  D)
   \[\left( 25-9\pi  \right){{m}^{2}}\] done clear
  E)
   None of these done clear
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• question_answer7)
  The respective ratio of curved surface area and total surface area of a cylinder is  4 : 5. If the curved surface area of the cylinder is 1232\[c{{m}^{2}}\]. What is the height?
  A)
   14 cm done clear
  B)
   28 cm done clear
  C)
   7 cm done clear
  D)
   56 cm done clear
  E)
   24 cm done clear
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• question_answer8)
  A rectangular sheet of paper, when halved by folding it at mid-point of its longer side, results in a rectangle, whose longer and shorter sides are in the same proportion as the longer and shorter sides of the original rectangle. If the shorter side of the original rectangle is 2 unit, what is the area of the smaller rectangle?
  A)
   \[1\sqrt{2}\,\,\,sq.unit\] done clear
  B)
   \[2\text{ }\sqrt{2}\,\,\,sq.\text{ }unit\] done clear
  C)
   \[4\sqrt{2}\,\,\,sq.\text{ }unit\] done clear
  D)
   Data inadequate done clear
  E)
   None of these done clear
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• question_answer9)
  Perimeter of a square and rectangle is equal. If length and breadth of rectangle are 12 cm and 10 cm respectively. The area of square is what % more than that of rectangle?
  A)
   5/6% done clear
  B)
   3/4% done clear
  C)
   2/3% done clear
  D)
   1% done clear
  E)
   None of these done clear
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• question_answer10)
  What is the volume of a cylinder whose curved surface-area is 1408 \[c{{m}^{2}}\] and height is 16 cm?
  A)
   \[7715\text{ }c{{m}^{3}}\] done clear
  B)
   \[9340\text{ }c{{m}^{3}}\] done clear
  C)
   \[8722\text{ }c{{m}^{3}}\] done clear
  D)
   \[7346\text{ }c{{m}^{3}}\] done clear
  E)
   \[9856\text{ }c{{m}^{3}}\] done clear
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• question_answer11)
  The radii of two cylinders are in the ratio \[3 : 2\] and their curved surface areas are in the ratio\[3:5\]. What is the ratio of their volumes?
  A)
   \[8:11\] done clear
  B)
   \[5:9\] done clear
  C)
   \[7:4\]   done clear
  D)
   \[9:10\] done clear
  E)
   \[13:7\] done clear
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• question_answer12)
  A square park has a 2 m wide cross road in middle of it. If the side of park is 100 m then find the remaining area of the park.                               .
  A)
   \[9650\,\,{{m}^{2}}\] done clear
  B)
   \[9596\,\,{{m}^{2}}\] done clear
  C)
   \[9600\,\,{{m}^{2}}\] done clear
  D)
   \[9604\,\,{{m}^{2}}\] done clear
  E)
   None of these done clear
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• question_answer13)
  A car has wheels of diameter 70 m. How many revolutions can the wheel complete in 20 minutes if the car is travelling at a speed of 110 m/s?
  A)
   550 done clear
  B)
   580 done clear
  C)
   630 done clear
  D)
   640 done clear
  E)
   600 done clear
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• question_answer14)
  A clock has its minute hand of length 7 cm. What area will it swept in covering 10 minutes?
  A)
   \[32.17\,\,c{{m}^{2}}\] done clear
  B)
   \[25.67\,\,c{{m}^{2}}\] done clear
  C)
   \[45.45\,\,c{{m}^{2}}\] done clear
  D)
   \[41.23\,\,c{{m}^{2}}\] done clear
  E)
   None of these done clear
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• question_answer15)
  The height of the cone is 24 cm and radius of cone is 7 \[c{{m}^{2}}\]. Find its volume.
  A)
   1200 \[c{{m}^{3}}\] done clear
  B)
   1232 \[c{{m}^{3}}\] done clear
  C)
   1240 \[c{{m}^{3}}\] done clear
  D)
   1260 \[c{{m}^{3}}\] done clear
  E)
   1262 \[c{{m}^{3}}\] done clear
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• question_answer16)
  If the radius of a sphere increases by 4 cm then the surface area increases by 704 \[c{{m}^{2}}\]. The radius of the sphere initially was?
  A)
   5 done clear
  B)
   4 done clear
  C)
   6 done clear
  D)
   8 done clear
  E)
   10 done clear
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• question_answer17)
  If the perimeter of square, circle, rectangle are equal. Then whose area is largest?
  A)
   Circle done clear
  B)
   Square                               done clear
  C)
   Rectangle done clear
  D)
   All are equal                             done clear
  E)
   Can not determined done clear
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• question_answer18)
  A rectangular plot of grass is 50 m long and 40 m broad. From the center of each side a path of 3 m wide goes across the center of the opposite side. Find the area of path?
  A)
   270 done clear
  B)
   280 done clear
  C)
   251 done clear
  D)
   261 done clear
  E)
   None of these done clear
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• question_answer19)
  The circumference of a circular garden is 1320 m. Find the area. Outside the garden, a road of2m width runs around it. What is the area of this road and calculate the cost of gravelling it at the rate of 50 paise per sq. m.
  A)
   \[2500.15\text{ }{{m}^{2}},\,\,Rs.1500.15\]      done clear
  B)
   \[~2652.57\,\,{{m}^{2}},\text{ }Rs.\text{ }1326.285\] done clear
  C)
   \[2541.14\,\,{{m}^{2}},\text{ }Rs.\text{ }1600.47\] done clear
  D)
   \[3245.78\text{ }{{\text{m}}^{2}},\,\,Rs.2000\] done clear
  E)
   \[4157.12\text{ }\,{{m}^{2}},\text{ }Rs.\,\,1452.11\] done clear
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• question_answer20)
  A square shape of park of area 23,104 sq. m is to be enclosed with wire placed at heights 1, 2, 3, 4 m above the ground. Find required length of the wire ,,if its length required for each circuit is 10% greater than the perimeter of the field?
  A)
   2675.2 m done clear
  B)
   2145.12 m done clear
  C)
   2750 m done clear
  D)
   2478.11 m done clear
  E)
   2400.5 m done clear
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• question_answer21)
  If the radius of the circular field is equal to the side of a square field .If the difference between the area of the circular field and area of the square field is 5145 sq. m .then calculate the perimeter of the circular field?
  A)
   421 m done clear
  B)
   315 m done clear
  C)
   310 m done clear
  D)
   308 m done clear
  E)
   300 m done clear
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• question_answer22)
  A rectangular plot has a concrete path running in the middle of the plot parallel to the parallel to the breadth of the plot. The rest of the plot is used as a lawn, which has an area of 240 sq. m. If the width of the path is 3 m and the length of the plot is greater than its breadth by m .what is the area of the rectangular plot (in m)?
  A)
   410 m done clear
  B)
   288 m done clear
  C)
   250 m done clear
  D)
   300 m done clear
  E)
   320 m done clear
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• question_answer23)
  A rectangular tank of length \[37\frac{1}{3}\] m internally, 12 m in breadth and 8 m in depth is full of water. Find the weight of water in metric tons, given that one cubic metre of water weighs 1000 kg.
  A)
   3584 metric tons done clear
  B)
   4500 metric tons done clear
  C)
   4101 metric tons done clear
  D)
   3870 metric tons done clear
  E)
   5721 metric tons done clear
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• question_answer24)
  The length and the breadth of a rectangular table are increased by 1 m each and due to this the area of the table increased, by 27 sq. m. But if the length is increased by 1 m and breadth decreased by 1 m, area is decreased by 7 sq. m. Find the perimeter of the table.
  A)
   45 m done clear
  B)
   52 m done clear
  C)
   60 m    done clear
  D)
   72 m done clear
  E)
   None of these done clear
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• question_answer25)
  The perimeter of a square is twice the perimeter of a rectangle. If the perimeter of a square is 140cms and the length of the rectangle is 20cm. Find the breadth of the rectangle?
  A)
   18 done clear
  B)
   20 done clear
  C)
   15 done clear
  D)
   12 done clear
  E)
   None of these done clear
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• question_answer26)
  A room is 7.5 m long, 5.5 m broad and 5 m high. What will be the expenditure in covering the walls by paper 40 cm broad at the rate of 80 paise per metre?
  A)
   Rs. 255.5 done clear
  B)
   Rs.260 done clear
  C)
   Rs. 282.25 done clear
  D)
   Rs.244 done clear
  E)
   None of these done clear
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• question_answer27)
  Total area of a circle and a square is equal to 6350\[{{m}^{2}}\]. The radius of a circle is 35 m. What is the difference of the circumference of the circle and area of square?
  A)
   \[2260\,\,{{m}^{2}}\] done clear
  B)
   \[1280\,\,{{m}^{2}}\] done clear
  C)
   \[3280\,\,{{m}^{2}}\] done clear
  D)
   \[2180\,\,{{m}^{2}}\] done clear
  E)
   \[2280\,\,{{m}^{2}}\] done clear
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• question_answer28)
  If the length of a rectangular plot is increased by 20% and the breadth of the plot is reduced by 20%, the area of the plot is decreased by 8 \[{{m}^{2}}\]. What is the original area of the rectangular plot?
  A)
   \[184\,\,m{{.}^{2}}\] done clear
  B)
   \[196\,\,m{{.}^{2}}\] done clear
  C)
   \[200\,\,m{{.}^{2}}\] done clear
  D)
   \[225\,\,{{m}^{2}}\] done clear
  E)
   None of these done clear
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• question_answer29)
  The ratio between the radius and height of a cone is 3 : 4. What is the curved surface area of the cone?
  A)
   \[16\,\,\,{{m}^{2}}\] done clear
  B)
   \[15\,\,{{m}^{2}}\] done clear
  C)
   \[12\,\,{{m}^{2}}\] done clear
  D)
   Data inadequate done clear
  E)
   None of these done clear
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• question_answer30)
  If the perimeter of a circle is increased by 30% what will be the effect on the area of the circle?
  A)
   48% increased done clear
  B)
   52% increased done clear
  C)
   50% decrease done clear
  D)
   69% increased done clear
  E)
   None of these done clear
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