7th Class Mathematics Sample Paper

done Mathematics Sample Paper-5 Total Questions - 23    [Download]

• question_answer1)
  Find the largest number of six digits which is exactly divisible by 78.
  A)
  999726             
  done clear
  B)
  999804      
  done clear
  C)
  999960             
  done clear
  D)
  999882
  done clear
  E)
  None of these
  done clear
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• question_answer2)

  In an examination, a student was asked to find \[\left( \frac{1}{15} \right)\] of a certain number. By mistake he found \[\left( \frac{1}{5} \right)\] of that number.

  His answer was 40 more than the correct answer. Find the number.

  A)
  600      
  done clear
  B)
  450
  done clear
  C)
  150    
  done clear
  D)
  300
  done clear
  E)
  None of these
  done clear
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• question_answer3)
  Find a number which is \[32\frac{1}{2}\] greater than the average of its half and one fifth.
  A)
  36                    
  done clear
  B)
  33
  done clear
  C)
  72                    
  done clear
  D)
  50
  done clear
  E)
  None of these
  done clear
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• question_answer4)
  By what number \[{{\left( -\frac{4}{3} \right)}^{-5}}\]  must be multiplied so that the result is \[\frac{16}{9}\].
  A)
  \[{{\left( \frac{4}{3} \right)}^{5}}\]       
  done clear
  B)
  \[{{\left( -\frac{4}{3} \right)}^{7}}\]
  done clear
  C)
  \[{{\left( \frac{4}{3} \right)}^{-5}}\]      
  done clear
  D)
  \[{{\left( \frac{4}{3} \right)}^{-7}}\]
  done clear
  E)
  None of these
  done clear
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• question_answer5)
  The factor of \[4{{p}^{2}}+{{q}^{2}}+16-4pq+8q-16p\] is :
  A)
  \[(-2p-q+4)\,(-2p+q+4)\]
  done clear
  B)
  \[(2p+q+4)\,(2p+q+4)\]
  done clear
  C)
  \[(-2p+q+4)\,(-2p+q+4)\]
  done clear
  D)
  \[(-2p+q-4)\,(-2p+q-4)\]
  done clear
  E)
  None of these
  done clear
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• question_answer6)
  The sum of the digits of a two digit number is 10. The number obtained by interchanging the digits decreases the original number by 36, find the original number.
  A)
  37                    
  done clear
  B)
  73
  done clear
  C)
  64        
  done clear
  D)
  55
  done clear
  E)
  None of these
  done clear
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• question_answer7)
  The monthly income of X and Y are in the ratio of \[4:5\] and their monthly expenditure are in the ratio \[7:9\]. If both save Rs. 100 per month, then monthly expenditure of Y will be :
  A)
  Rs. 800               
  done clear
  B)
  Rs. 700
  done clear
  C)
  Rs. 900       
  done clear
  D)
  Rs. 200
  done clear
  E)
  None of these
  done clear
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• question_answer8)
  The two numbers are such that 60% of one is equal to the 40% of other. The sum of the two numbers is 320. Find the larger of the two numbers.
  A)
  192            
  done clear
  B)
  156
  done clear
  C)
  128                  
  done clear
  D)
  184
  done clear
  E)
  None of these
  done clear
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• question_answer9)
  There is a land piece of 10,000 square metre which is being sold at the rate of Rs. 2400 per square metre. If a person has Rs. 2,50,000 with him, then find the percentage of land he can purchase for this amount.
  A)
  1.04%              
  done clear
  B)
  2.1%
  done clear
  C)
  2.25%   
  done clear
  D)
         3.1%
  done clear
  E)
  None of these
  done clear
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• question_answer10)
  Find the amount on Rs. 12450 for 5 years & 6 months at the rate of  \[9\frac{1}{2}%\]% per annum.
  A)
  Rs. 18955.125    
  done clear
  B)
  Rs. 6505.125
  done clear
  C)
  Rs. 19955.125   
  done clear
  D)
  Rs. 17955.125
  done clear
  E)
  None of these
  done clear
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• question_answer11)
  Two angles are complementary and they are congruent. Find their measure.
  A)
  \[45{}^\circ \]           
  done clear
  B)
  \[35{}^\circ \]
  done clear
  C)
  \[25{}^\circ \]              
  done clear
  D)
  \[90{}^\circ \]
  done clear
  E)
  None of these
  done clear
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• question_answer12)
  The base of a triangular field is three times of its altitude. If the cost of watering the field at Rs. 96 per hectare is Rs.3600 then the measure of the base and height are respectively:
  A)
  1500 m and 500 m 
  done clear
  B)
  900 m and 300 m
  done clear
  C)
  500 m and 1500 m
  done clear
  D)
  400 m and 1200 m
  done clear
  E)
  None of these
  done clear
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• question_answer13)
  If \[\frac{(4x+5)(2x-3)-8{{x}^{2}}+6}{x-6}=5\]
  A)
  \[-3\]                
  done clear
  B)
  \[-1\]
  done clear
  C)
  3                     
  done clear
  D)
  5
  done clear
  E)
  None of these
  done clear
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• question_answer14)
  The value of \[1+\frac{1}{1+\frac{1}{1+\frac{1}{3}}}\] is:
  A)
  \[\frac{2}{7}\]              
  done clear
  B)
  \[\frac{9}{7}\]
  done clear
  C)
  \[\frac{11}{7}\]             
  done clear
  D)
  \[\frac{15}{7}\]
  done clear
  E)
  None of these
  done clear
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• question_answer15)
  \[{{a}^{x-y}}\times {{b}^{y-z}}\times {{a}^{y-x}}\times {{b}^{z-y}}\times {{2}^{5}}\] is equal to
  A)
  23                    
  done clear
  B)
  \[4{{a}^{2}}{{b}^{3}}\]
  done clear
  C)
  \[{{2}^{5}}a{{b}^{2}}\]       
  done clear
  D)
  32
  done clear
  E)
  None of these
  done clear
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• question_answer16)
  If \[x=\sqrt{100}\], then find the value of\[\frac{{{x}^{3}}+{{x}^{2}}}{x}\].
  A)
  120      
  done clear
  B)
  100
  done clear
  C)
  110      
  done clear
  D)
  90
  done clear
  E)
  None of these
  done clear
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• question_answer17)
  \[25\]% of x is same as \[40%\] of y. The ratio of x:y is:
  A)
  \[5:3\]   
  done clear
  B)
  \[8:5\]
  done clear
  C)
  \[3:8\]   
  done clear
  D)
  \[5:8\]
  done clear
  E)
  None of these
  done clear
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• question_answer18)
  Which of the following is equal to\[\sqrt{2}\] ?
  A)
  \[\frac{7}{5}\]              
  done clear
  B)
         \[\frac{13}{9}\]
  done clear
  C)
  \[\frac{0.1}{0.07}\]       
  done clear
  D)
  \[\frac{7\sqrt{14}}{\sqrt{343}}\]
  done clear
  E)
  None of these
  done clear
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• question_answer19)
  Find the solution of the equation \[\frac{x-1}{x+5}=7\]
  A)
  \[-6\]    
  done clear
  B)
  \[-3\]
  done clear
  C)
  \[-2\]                
  done clear
  D)
  \[-9\]
  done clear
  E)
  None of these
  done clear
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• question_answer20)
  Sum of two integers is 32. If one of the integer is\[-32\], then find the other.
  A)
  64                    
  done clear
  B)
  32
  done clear
  C)
  \[-32\]               
  done clear
  D)
  \[-64\]
  done clear
  E)
  None of these
  done clear
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• question_answer21)
  Find the value of the expression given below. \[{{\left( \frac{2}{3} \right)}^{2}}\times {{\left( \frac{3}{4} \right)}^{2}}\times {{\left( \frac{4}{9} \right)}^{0}}\]
  A)
   \[\frac{1}{8}\]        
  done clear
  B)
        \[\frac{2}{9}\]
  done clear
  C)
  \[\frac{1}{4}\]              
  done clear
  D)
  \[\frac{1}{16}\]
  done clear
  E)
  None of these
  done clear
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• question_answer22)
  If \[\frac{5}{7}=\frac{x}{35}=\frac{y}{49}\], then the values of x and y are respectively____.
  A)
  35, 25                 
  done clear
  B)
  25, 35
  done clear
  C)
  35, 15                 
  done clear
  D)
  15, 35
  done clear
  E)
  None of these
  done clear
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• question_answer23)
  Solve for x: \[\frac{x}{4}+\frac{1}{3}=\frac{x}{5}-\frac{1}{3}\]
  A)
  \[\frac{40}{3}\]        
  done clear
  B)
  \[\frac{-40}{3}\]
  done clear
  C)
  \[\frac{-20}{3}\]             
  done clear
  D)
  \[\frac{20}{3}\]
  done clear
  E)
  None of these
  done clear
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