Railways Quantitative Aptitude Mensuration Sample Paper

done Mensuration Sample Test Paper-16 Total Questions - 20    [Download]

• question_answer1)
  The sides of a triangle are in the ratio 3 : 4 : 5. If its perimeter is 36 cm then the area of the triangle is
  A)
   54 sqm
  done clear
  B)
   56.5 sqm
  done clear
  C)
   57 sqm
  done clear
  D)
   none of these
  done clear
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• question_answer2)
  Two sides of a plot measure 32 m and 24 m and angle between them is perfect right angle. The other two sides measure 25 m each and the other three angles are not right angles. The area of plot \[(in\,\,{{m}^{2}})\]\[7056\,{{m}^{2}}\] is
  A)
   534                 
  done clear
  B)
   754
  done clear
  C)
   705     
  done clear
  D)
   684
  done clear
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• question_answer3)
  A room of size 6.75 m long and 5.75 m wide is to be paved with square tiles. The minimum number of square tiles required is
  A)
   630                 
  done clear
  B)
   430
  done clear
  C)
   621                 
  done clear
  D)
   421
  done clear
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• question_answer4)
  A square is converted into a rectangle by increasing its length by 20% and decreasing its width by 20%. Which of the following statement is true?
  A)
   Area of square = Area of rectangle
  done clear
  B)
   Area of square = 10% Area of rectangle
  done clear
  C)
   Area of rectangle = 10% Area of square
  done clear
  D)
   Area of rectangle = 96% Area of square
  done clear
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• question_answer5)
  The length and breadth of a rectangular plot of a land are in the ratio 5 : 3. The owner spent Rs.  3000 for surrounding it from all the sides at the rate of Rs. 7.5 per meter. The difference between the length and breadth of the plot is
  A)
   75 m   
  done clear
  B)
   50 m
  done clear
  C)
   90 m               
  done clear
  D)
   60 m
  done clear
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• question_answer6)
  The area of a square with side 9 cm is one sixth of the area of a rectangle, whose length is six-times its breadth. The perimeter of the rectangle is
  A)
   104 cm
  done clear
  B)
   52 cm
  done clear
  C)
   78 cm 
  done clear
  D)
   126 cm
  done clear
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• question_answer7)
  The ratio of length and breadth of a rectangle is 5 : 4. If the breadth is 20 m less than the length then. Its perimeter is
  A)
   280 m 
  done clear
  B)
   325 m
  done clear
  C)
   360 m 
  done clear
  D)
   380 m
  done clear
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• question_answer8)
  The ratio of area of a square to another a square drawn on its diagonal is
  A)
   3 : 4                
  done clear
  B)
   4 : 5
  done clear
  C)
   2 : 3                
  done clear
  D)
   1 : 2
  done clear
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• question_answer9)
  An athletic track 14 m wide consists of two straight sections 120 m long joining semi-circular ends whose inner radius is 35 m. The area of the track is
  A)
   \[7056\,\,{{m}^{2}}\] 
  done clear
  B)
   \[7016\,\,{{m}^{2}}\]
  done clear
  C)
   \[7076\,\,{{m}^{2}}\] 
  done clear
  D)
   \[7006\,\,{{m}^{2}}\]
  done clear
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• question_answer10)
  A path of uniform width runs round the inside of a rectangular field 38 m long and 32 m wide. If the path occupies \[600\,\,c{{m}^{2}}\] then the width of the path is
  A)
   5 m                 
  done clear
  B)
   8 m
  done clear
  C)
   7.5 m  
  done clear
  D)
   9 m
  done clear
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• question_answer11)
  If the radius of a circle is increased by 1 cm, its area increases by \[22\,\,c{{m}^{2}}\] then original radius of the circle is
  A)
   4 cm               
  done clear
  B)
   3 cm
  done clear
  C)
   3.5 cm
  done clear
  D)
   5 cm
  done clear
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• question_answer12)
  The area of the ring between two concentric circles, whose circumferences are 88 cm and 132 cm is.
  A)
   \[700\,\,c{{m}^{2}}\]
  done clear
  B)
   \[720\,\,c{{m}^{2}}\]
  done clear
  C)
   \[750\,\,c{{m}^{2}}\] 
  done clear
  D)
   \[770\,\,c{{m}^{2}}\]
  done clear
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• question_answer13)
  Four horses are tethered at four comers of a square plot of side 63 m so that they just cannot reach one another. The area left ungrazed is
  A)
   \[858.5\,\,{{m}^{2}}\]
  done clear
  B)
   \[850.5\,\,{{m}^{2}}\]
  done clear
  C)
   \[798.8\,\,{{m}^{2}}\]
  done clear
  D)
   \[901.5\,\,{{m}^{2}}\]
  done clear
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• question_answer14)
  If the length and the breadth of a rectangle are increased by x% and y% respectively, then the area of rectangle will be increased by
  A)
   \[(x+y)%\]       
  done clear
  B)
   \[(x\times y)%\]
  done clear
  C)
   \[\left( x+y+\frac{xy}{100} \right)%\]
  done clear
  D)
   \[\left( x+y-\frac{xy}{100} \right)%\]
  done clear
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• question_answer15)
  In the figure ABCD is a square with side 10. BFD is an arc of a circle with centre C. BGD is an arc of a circle with centre A. The area of the shaded region is
  A)
   \[50-50\,\,\pi \]
  done clear
  B)
   \[100-75\,\,\pi \]
  done clear
  C)
   \[50\,\,\pi -100\]
  done clear
  D)
   \[100\,\,\pi -75\]
  done clear
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• question_answer16)
  Area of the shaded region of the below given figure is
  A)
   \[10\,\,{{m}^{2}}\]    
  done clear
  B)
   \[11\,\,{{m}^{2}}\]
  done clear
  C)
   \[15\,\,{{m}^{2}}\]    
  done clear
  D)
   \[19\,\,{{m}^{2}}\]
  done clear
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• question_answer17)
  (Take \[\pi =\frac{22}{7}\] unless otherwise mentioned) A hemisphere of radius 6 cm is cast into a right circular cone of height 75 cm. The radius of the base of the cone is
  A)
   2.4 cm
  done clear
  B)
   2.8 cm
  done clear
  C)
   3.5 cm
  done clear
  D)
   3.8 cm
  done clear
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• question_answer18)
  The diameter of a garden roller is 1.4 m and it is 2 m long. How much area will it cover in 5 revolutions?
  A)
   \[44\,\,{{m}^{2}}\]    
  done clear
  B)
   \[33\,\,{{m}^{2}}\]
  done clear
  C)
   \[66\,\,{{m}^{2}}\]    
  done clear
  D)
   \[88\,\,{{m}^{2}}\]
  done clear
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• question_answer19)
  The diameters of two cones are equal and their slant heights are in the ratio 5 : 4. If the curved surface of the larger cone is \[200\,\,c{{m}^{2}},\] then the curved surface of the larger cone is
  A)
   \[240\,\,c{{m}^{2}}\] 
  done clear
  B)
   \[250\,\,c{{m}^{2}}\]
  done clear
  C)
   \[260\,\,c{{m}^{2}}\] 
  done clear
  D)
   \[280\,\,c{{m}^{2}}\]
  done clear
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• question_answer20)
  A measuring jar of internal diameter 10 cm is partially filled with water. Four equal spherical balls of diameter 2 cm, each are dropped in it and they sink down in the water completely. What will be the increase in the level of water in the jar?
  A)
   \[\frac{16}{75}\,\,cm\]  
  done clear
  B)
   \[\frac{16}{51}\,\,cm\]
  done clear
  C)
   15 cm 
  done clear
  D)
   \[\frac{16}{5}\,\,cm\]
  done clear
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