7th Class Mathematics Simple Equations Question Bank

done Simple Equations Total Questions - 45

• question_answer1)
  What is the value of 'x' in  \[\frac{3x-1}{5}-\frac{1+x}{2}=3-\frac{x-1}{2}\]?
  A)
  \[5\]                                      done clear
  B)
   \[-7\] done clear
  C)
  \[7\]                        done clear
  D)
         \[-5\] done clear
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• question_answer2)
  If \[0.2(2x-1)-0.5(3x-1)=0.4,\] what is the value of x'?
  A)
   \[\frac{1}{11}\] done clear
  B)
                          \[-\frac{1}{11}\]   done clear
  C)
   \[\frac{3}{11}\]                done clear
  D)
          \[-\frac{3}{11}\] done clear
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• question_answer3)
  In each of these figures the solution of an equation is given in brackets. Which of them is correct?
  A)
    done clear
  B)
           done clear
  C)
                 done clear
  D)
           done clear
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• question_answer4)
  Sunil wrote an equation as \[\frac{m}{5}=4\]. Ravi wrote a statement for Sunil's equation. Which of these is the statement of Ravi if he has written correctly?
  A)
   One-fifth of m' is 4.   done clear
  B)
   One-fifth of a number is 5.           done clear
  C)
   One-fourth of 'm' is 4.               done clear
  D)
   One-fourth of a number is 4. done clear
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• question_answer5)
  In which of the following cases does an equality NOT hold?
  A)
   Adding the same number on both the sides. done clear
  B)
   Not performing the same operation on both the sides.                   done clear
  C)
   Subtracting the same number from both the sides. done clear
  D)
   Multiplying both the sides by the same non-zero number. done clear
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• question_answer6)
  What are the two steps involved in solving the equation\[15x+4=26\]?
  A)
   Subtracting 4 from both the sides and then dividing both sides by 15.       done clear
  B)
   Adding 4 on both sides & then multiplying both sides by 15. done clear
  C)
   Subtracting 4 on the L.H.S. and multiplying by 15 on the R.H.S. done clear
  D)
   Adding 4 on the L.H.S. and dividing by 15 on the R.H.S. done clear
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• question_answer7)
  Which of the following equations can be constructed with \[x=2\]?
  A)
   \[3x+4=8\]         done clear
  B)
          \[3x-4=2\]   done clear
  C)
   \[3x+4=2\]         done clear
  D)
          \[3x-4=8\] done clear
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• question_answer8)
  7 subtracted from \[\frac{5}{2}\]of a number results in 23. What is the number?
  A)
   \[-10\]                 done clear
  B)
          \[10\] done clear
  C)
   \[12\]                     done clear
  D)
          \[-12\] done clear
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• question_answer9)
  In a coconut grove, \[(x+2)\] trees yield 60 coconuts per year, x trees yield 120 coconuts per year and \[(x-2)\] trees yield 180 coconuts per year. If the average yield per year per tree is 100, find x.
  A)
   \[4\]                       done clear
  B)
          \[3\] done clear
  C)
   \[2\]                     done clear
  D)
          \[1\] done clear
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• question_answer10)
  4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.
  A)
   \[16\]                     done clear
  B)
          \[12\] done clear
  C)
   \[8\]                     done clear
  D)
          \[20\] done clear
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• question_answer11)
  A number is 3 less than two times the other. If their sum is increased by 7, the result is 37. Find the numbers.
  A)
   \[9,\,\,11\]                         done clear
  B)
          \[11,\,\,13\] done clear
  C)
   \[11,\,\,19\]                        done clear
  D)
          \[9,\,\,13\] done clear
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• question_answer12)
  \[\frac{1}{2}\] is subtracted from a number and the difference is multiplied by 4. If 25 is added to the product and the sum is divided by 3, the result is equal to 10. Find the number.
  A)
   \[\frac{3}{5}\]                                   done clear
  B)
          \[\frac{7}{4}\]     done clear
  C)
    \[\frac{6}{7}\]                  done clear
  D)
          \[\frac{2}{3}\] done clear
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• question_answer13)
  The present age of A is twice that of B. 30  years from now, age of A will be \[1{}^{1}/{}_{2}\]times that of B. Find the present ages (in years) of A and B respectively.
  A)
   \[60,\,\,30\]                        done clear
  B)
          \[30,\,\,60\] done clear
  C)
   \[40,\,\,50\]                      done clear
  D)
          \[50,\,\,40\] done clear
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• question_answer14)
  A person travelled \[{{\frac{5}{8}}^{th}}\] of the distance by  train, \[{{\frac{1}{4}}^{th}}\] by bus and the remaining 15 km by boat. Find the total distance travelled by him.                    
  A)
   \[90\,\,km\]                      done clear
  B)
          \[120\,\,km\]   done clear
  C)
   \[150\,\,km\]                    done clear
  D)
          \[180\,\,km\] done clear
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• question_answer15)
  The total cost of three prizes is Rs.2550. If the value of second prize is \[{{\frac{3}{4}}^{th}}\]of the first and the value of 3rd prize is \[\frac{1}{2}\]of the second prize, find the value of first prize.
  A)
   \[Rs.\,900\]       done clear
  B)
          \[Rs.\,1500\] done clear
  C)
   \[Rs.\,1200\]                       done clear
  D)
          \[Rs.\,450\] done clear
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• question_answer16)
  Which of the following is an equation?
  A)
   \[4x+5=65\]     done clear
  B)
   \[4x+5<65\] done clear
  C)
   \[4x+5>65\] done clear
  D)
   \[4x+5\ne 65\] done clear
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• question_answer17)
  Which of the following is an algebraic expression for the statement "The sum of \[3x\] and 11 is 32."?
  A)
   \[11x+3=32\] done clear
  B)
   \[3x+11=32\]   done clear
  C)
   \[3x+32=11\] done clear
  D)
   \[11x+32=11\] done clear
  View Solution play_arrow

• question_answer18)
  Choose the statement that best describes the equation \[\frac{1}{4}m=10\].
  A)
   One - fourth of 10 is m. done clear
  B)
   One - fourth of m is 3 more than 3. done clear
  C)
   One - fourth of m is 10.   done clear
  D)
   Four times m is 10. done clear
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• question_answer19)
  Vinay's father is 44 years old. If he is 5 years older than thrice Vinay's age, which of these equations gives, the age of Vinay's father?
  A)
   \[3x+5=44\]     done clear
  B)
   \[44+5x=3x\] done clear
  C)
   \[44-3y=5+3y\] done clear
  D)
   \[3x-5=44\] done clear
  View Solution play_arrow

• question_answer20)
  Which of the following statements is false?
  A)
   The solution of \[4x=60\] is 12.   done clear
  B)
   \[y=7\] satisfies the equation \[y+0=7\]. done clear
  C)
   \[p=\frac{5}{2}\] is the solution of \[12p-5=25\]. done clear
  D)
   \[m=\frac{3}{2}\] is the solution of \[4(m+3)=18\]. done clear
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• question_answer21)
  Which of the following does not affect the given equation?
  A)
   Adding 0 on the L.H.S. and 1 on the R. H. S. done clear
  B)
   Adding 1 on the L.H.S. and \[(-1)\] on the R.H.S. done clear
  C)
   Adding the same number on both sides of the equation.   done clear
  D)
   Adding 0 on the R.H.S. and 1 on the L.H.S. done clear
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• question_answer22)
  P is a linear equation. How many solutions does P have?
  A)
   1               done clear
  B)
   0 done clear
  C)
   3             done clear
  D)
   Infinitely many done clear
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• question_answer23)
  Ramesh got 5 marks more than Sonu in a test. If the total marks secured by them is 15, how many marks did Ramesh get?
  A)
   \[25\]                   done clear
  B)
          \[5\] done clear
  C)
   \[15\]                   done clear
  D)
          \[10\]   done clear
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• question_answer24)
  In a test match, Sach in scored twice as many runs as Sehwag. Together, their runs fell two short of a double century. How many runs did Sachin score?
  A)
   \[66\]                   done clear
  B)
          \[132\]   done clear
  C)
   \[198\]                 done clear
  D)
          \[200\] done clear
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• question_answer25)
  In a math test, the highest marks obtained by a student in the class is twice the lowest marks plus 7. If the highest score is 87, what is the lowest score?
  A)
   \[42\]                   done clear
  B)
          \[39\] done clear
  C)
   \[40\]                     done clear
  D)
          \[44\] done clear
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• question_answer26)
  A teacher asks the students of her class to write an equation for the statement "Ten times a number p is 100." Three students wrote the following equations. Which is correct?

  (i) \[10\,p=100\]

  (ii) \[\frac{10}{p}=100\]

  (iii) \[\frac{10p}{p}=100\]

  A)
   (i) only          done clear
  B)
   (ii) only done clear
  C)
   (iii) only       done clear
  D)
   Both [b] and [c]. done clear
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• question_answer27)
  On transposing terms from one side of the equation to the other, which of these changes takes place?
  A)
   Addition becomes subtraction.   done clear
  B)
   Multiplication becomes addition. done clear
  C)
   Addition becomes multiplication. done clear
  D)
   Multiplication becomes subtraction. done clear
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• question_answer28)
  \[M=\frac{2x+5}{7}\]and \[N=\frac{3x-2}{4}\]. What value of x makes\[M=N\]?
  A)
   \[\frac{-17}{3}\]               done clear
  B)
          \[\frac{-34}{13}\] done clear
  C)
   \[\frac{34}{13}\]                                done clear
  D)
          \[\frac{17}{3}\] done clear
  View Solution play_arrow

• question_answer29)
  Given \[A=P(1+rt),\] what is the value of 'r' when \[A=27,\text{ }P=18\]and \[t=5\]?
  A)
   \[\frac{1}{2}\]                   done clear
  B)
          \[\frac{1}{5}\] done clear
  C)
   \[\frac{27}{5}\]                done clear
  D)
          \[\frac{1}{10}\]   done clear
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• question_answer30)
  Given \[\frac{1}{u}+\frac{1}{v}=\frac{1}{f},\] find the value of 'v' when \[f=20\] and \[u=30\].
  A)
   \[-20\]                 done clear
  B)
          \[-60\] done clear
  C)
   \[60\]                                     done clear
  D)
   \[-30\] done clear
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• question_answer31)
  The sum of three consecutive integers is 75. Which is the largest among them?
  A)
   26                            done clear
  B)
          25 done clear
  C)
   24                                          done clear
  D)
   23 done clear
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• question_answer32)
  The lengths of the sides of a triangle are \[(2a+1)\,\,cm,\,\,(3a+2)\,\,cm\] and \[(4a-1)\,\,cm\]. For what value of 'a' is the perimeter of the triangle \[92\,cm\]?
  A)
   \[5\]                     done clear
  B)
          \[9\] done clear
  C)
   \[8\]                                     done clear
  D)
   \[10\]   done clear
  View Solution play_arrow

• question_answer33)
  A father is 26 years older than his son. In 3 years' time, the son's age will be one-third his father's age. What is the present age of the son?
  A)
   10 years                done clear
  B)
          13 years done clear
  C)
   39 years              done clear
  D)
          29 years done clear
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• question_answer34)
  Pankaj has 96 marbles and Arun has 63 marbles. How many marbles should run give Pankaj so that Pankaj will have twice as many marbles as Arun?
  A)
   \[9\]                     done clear
  B)
          \[12\] done clear
  C)
   \[7\]                                     done clear
  D)
   \[10\]   done clear
  View Solution play_arrow

• question_answer35)
  If \[\frac{3p+2}{5}-\frac{4p-3}{7}+\frac{p-1}{35}=4,\] find the  value of p.
  A)
   \[65\]                   done clear
  B)
          \[63\] done clear
  C)
   \[36\]                   done clear
  D)
          \[56\]   done clear
  View Solution play_arrow

• question_answer36)
  The sum of five times a number and 13 is 48. What is the number?
  A)
   \[3\]                     done clear
  B)
          \[5\]    done clear
  C)
   \[7\]                       done clear
  D)
          \[9\] done clear
  View Solution play_arrow

• question_answer37)
  Guru is 20 years older than his son. If the sum of their ages is 50 years, how old is his son?
  A)
   5 years                 done clear
  B)
          10 years done clear
  C)
   15 years                done clear
  D)
          20 years done clear
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• question_answer38)
  If one-fourth of a number decreased by 12 is 30, what is the number?          
  A)
   \[168\]                   done clear
  B)
          \[186\] done clear
  C)
   \[148\]                 done clear
  D)
          \[184\] done clear
  View Solution play_arrow

• question_answer39)
  lf \[C=\frac{5}{9}(F-32),\] what is the value F?
  A)
   \[\frac{5C}{9}-32\]          done clear
  B)
          \[\frac{9C}{5}-32\] done clear
  C)
   \[\frac{9C}{5}+32\]           done clear
  D)
          \[\frac{5C}{9}+32\] done clear
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• question_answer40)
  The scale shown is balanced. Each cube on the left side weighs the same amount. How much does one of the cubes weigh?
  A)
   1 gram                 done clear
  B)
          4 grams done clear
  C)
   5 grams                 done clear
  D)
          20 grams done clear
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• question_answer41)
  The figure shows the selling price of pens in a shop. Vimal paid Rs. 50 for the purchase of a few pens and received \[Rs.\text{ }0.50\]in change. How many pens did Vimal buy?
  A)
   \[26\]                   done clear
  B)
          \[22\]   done clear
  C)
   \[19\]                                   done clear
  D)
   \[16\] done clear
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• question_answer42)
  The sum of two-thirds of a number and one-fifth of the same number is 13. Find the number.
  A)
   \[15\]                     done clear
  B)
          \[3\] done clear
  C)
   \[13\]                   done clear
  D)
          \[5\] done clear
  View Solution play_arrow

• question_answer43)
  Evaluate  \[\frac{x-4}{3}-\frac{2x+1}{6}=\frac{5x+1}{2}\]
  A)
   \[\frac{3}{5}\]                   done clear
  B)
          \[\frac{4}{5}\] done clear
  C)
   \[\frac{5}{6}\]                   done clear
  D)
          \[\frac{-4}{5}\]   done clear
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• question_answer44)
  The denominator of a fraction is 3 more than its numerator. If 2 is added to both the numerator and the denominator, the new fraction is equivalent to \[\frac{2}{3}\] What is the original fraction?
  A)
   \[\frac{3}{7}\]                   done clear
  B)
          \[\frac{4}{7}\]   done clear
  C)
   \[\frac{2}{3}\]                   done clear
  D)
          \[\frac{3}{5}\] done clear
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• question_answer45)
  144 beads were shared equally among some children. If there were 3 children fewer, each child would have 16 beads each. How many children were there?
  A)
   \[8\]                     done clear
  B)
          \[9\]    done clear
  C)
   \[12\]                                                     done clear
  D)
   \[11\] done clear
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