Railways Quantitative Aptitude Basic Calculations Sample Paper

done Square Roots & Cube Roots Sample Test Paper-5 Total Questions - 20    [Download]

• question_answer1)
  The smallest number by which 136 must be multiplied so that it becomes a perfect square is
  A)
   2
  done clear
  B)
                      17
  done clear
  C)
   34
  done clear
  D)
   None of these
  done clear
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• question_answer2)
  The smallest number by which 3888 must be divided so that the resulting number is a perfect square is
  A)
   2                    
  done clear
  B)
   6
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  C)
   3                    
  done clear
  D)
   None of these.
  done clear
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• question_answer3)
  The product of two numbers is 1936. If one number is 4 times the other, the numbers are
  A)
   16, 121
  done clear
  B)
   22, 88
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  C)
   44, 44 
  done clear
  D)
   None of these.
  done clear
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• question_answer4)
  The least square number exactly divisible by 4, 6, 10, 15 is
  A)
   400                 
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  B)
   100     
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  C)
   25       
  done clear
  D)
   900
  done clear
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• question_answer5)
  The least 6 digit number which is perfect square is
  A)
   100000
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  B)
   100144  
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  C)
   100489
  done clear
  D)
   100225
  done clear
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• question_answer6)
  The least number to be subtracted from 24136 to make it a perfect square
  A)
   155                 
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  B)
   111
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  C)
   156                 
  done clear
  D)
   None of these.
  done clear
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• question_answer7)
  What must be added to 24136 to make it a perfect square?
  A)
   100                 
  done clear
  B)
   200
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  C)
   111     
  done clear
  D)
   None of these.
  done clear
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• question_answer8)
  Area of a square field is 22500\[{{m}^{2}}\]. A man cycles along its boundary at 15 km/hr. The time will be taken by a man to return to starting point, is
  A)
   2 min 24 sec.   
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  B)
   3 min 12 sec.
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  C)
   4 min. 
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  D)
   None of these.
  done clear
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• question_answer9)
  The value of \[\sqrt{388+\sqrt{127+\sqrt{289}}}\] is
  A)
   17                   
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  B)
   12
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  C)
   30                   
  done clear
  D)
   None of these.
  done clear
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• question_answer10)
  A gardener arranges plants in rows to form a square. He finds that in doing so 15 plants are left out. If the total number of plants are 3984, the number of plants in each row are,
  A)
   62                   
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  B)
   63
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  C)
   64                   
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  D)
   None of these.
  done clear
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• question_answer11)
  The area of a circular play ground is \[\frac{3168}{7}{{m}^{2}}.\] The diameter of the ground is
  A)
   12 m   
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  B)
   22 m    
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  C)
   24 m   
  done clear
  D)
   6 m
  done clear
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• question_answer12)
  A least four digit perfect square whose first two digits and last two digits taken separately are also perfect squares, is:
  A)
   6481   
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  B)
   4925   
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  C)
   3625               
  done clear
  D)
   1681
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• question_answer13)
  You have a rectangular frame that is 40 cm by 60 cm. Can you put a square picture that has an area of \[800\,\,c{{m}^{2}}\] completely inside the frame?
  A)
   Yes                 
  done clear
  B)
   No
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  C)
   Can't say         
  done clear
  D)
          Data insufficient
  done clear
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• question_answer14)
  The hypotenuse of an isosceles right angled triangular field has a length of \[30\sqrt{2}m,\] the length of other side is
  A)
   \[30\sqrt{2}\]   
  done clear
  B)
   30 m
  done clear
  C)
   25 m               
  done clear
  D)
   None of these
  done clear
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• question_answer15)
  The smallest number which when multiplied with 7200 will make the product a perfect cube, is
  A)
   10
  done clear
  B)
                      20
  done clear
  C)
   30                   
  done clear
  D)
   None of these.
  done clear
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• question_answer16)
  The three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. The numbers are,
  A)
   6, 9, 12           
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  B)
   4, 6, 8
  done clear
  C)
   12, 18, 24        
  done clear
  D)
   14, 21, 28
  done clear
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• question_answer17)
  Value of \[\sqrt[3]{392}\times \sqrt[3]{448}\] is
  A)
   50                   
  done clear
  B)
   52       
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  C)
   54                   
  done clear
  D)
   56
  done clear
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• question_answer18)
  A \[8\times 6\times 4\,c{{m}^{3}}\] metallic cube is melted. The minimum volume of molten metal which should be added to mould it into a cube whose edge is 'x' where 'x' is an integer, is
  A)
   \[20\,\,c{{m}^{3}}\]   
  done clear
  B)
   \[21\,\,c{{m}^{3}}\]  
  done clear
  C)
   \[23\,\,c{{m}^{3}}\]   
  done clear
  D)
   \[24\,\,c{{m}^{3}}\]
  done clear
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• question_answer19)
  The volumes of two cubes are in the ratio 343 : 1331, the ratio of their edges, is
  A)
   7 : 10  
  done clear
  B)
   7 : 11
  done clear
  C)
   7 : 12  
  done clear
  D)
   None of these.
  done clear
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• question_answer20)
  The square of a natural number when subtracted from its cube results in 48. The number is
  A)
   6                    
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  B)
   5       
  done clear
  C)
   4                    
  done clear
  D)
   8
  done clear
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