7th Class Mathematics Simple Equations Question Bank

done Simple Equation Total Questions - 25

• question_answer1)
  You are decorating a gift pack with 15 flowers. You want an equal number of flowers in each of the 3 rows on the gift pack. Which equation would you use to find the number of flowers, r, in each row?
  A)
   \[r+3=15\]                 done clear
  B)
   \[15+r=3\]       done clear
  C)
          \[3r=15\]        done clear
  D)
          \[\frac{3}{r}=15\]     done clear
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• question_answer2)
  The solution of the equation \[10-3y=1\] is y=____.
  A)
   0                                 done clear
  B)
          1         done clear
  C)
          2                                 done clear
  D)
          3                     done clear
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• question_answer3)
  5 less than thrice a number and add 7. The result is 14. The number is _____.     
  A)
   5                                 done clear
  B)
          4                     done clear
  C)
          6                                 done clear
  D)
          2                     done clear
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• question_answer4)
  Which of the given equation does not have 4 as the solution?                      
  A)
   \[p+5=9\]                  done clear
  B)
          \[14-p=10\]                done clear
  C)
                      \[\frac{20}{p}=4\]                done clear
  D)
          \[9p=36\]        done clear
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• question_answer5)
  184 is divided into two parts such that one-third of one part may exceed one -seventh of the other part by 8, then the greater part is____.                             
  A)
   72                   done clear
  B)
          110                 done clear
  C)
          112                 done clear
  D)
          114     done clear
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• question_answer6)
  If \[\frac{2x}{1+\frac{1}{1+\frac{x}{1-x}}}\] then find the value of x.   
  A)
   1                                 done clear
  B)
          4/3      done clear
  C)
          1/3                  done clear
  D)
          2/3                  done clear
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• question_answer7)
  What is the value of p that makes the following expression true?               \[p-\{-4-(2-8\div 4)\}=8\]
  A)
   \[-12\]             done clear
  B)
          \[-4\]               done clear
  C)
          4                                 done clear
  D)
          12 done clear
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• question_answer8)
  If two third of a number, half of the same number and one-seventh of same number is added to itself, the result is 37. The number is ____.
  A)
   \[14\frac{2}{97}\]                              done clear
  B)
          \[16\frac{2}{97}\]                  done clear
  C)
          \[18\frac{2}{97}\]                              done clear
  D)
          \[15\frac{2}{97}\] done clear
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• question_answer9)
  If two supplementary angles differ by \[{{44}^{o}},\] then one of the angles is ____.
  A)
   \[{{102}^{o}}\]                   done clear
  B)
          \[{{65}^{o}}\]         done clear
  C)
          \[{{112}^{o}}\]       done clear
  D)
                      \[{{72}^{o}}\] done clear
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• question_answer10)
  The value of x in \[\frac{3}{4}\left( 7x-1 \right)-\left( 2x-\frac{1-x}{2} \right)=x+\frac{3}{2}\]is ____.
  A)
   2                                 done clear
  B)
          3                     done clear
  C)
          1                                 done clear
  D)
          0 done clear
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• question_answer11)
  If \[\frac{2}{5}(5x+1)+\frac{3}{5}=1,\] then what is the value of x?
  A)
   \[\frac{-1}{5}\]                      done clear
  B)
          1                     done clear
  C)
          0                                 done clear
  D)
          \[\frac{1}{5}\]                        done clear
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• question_answer12)
  If \[\frac{9}{5}\] of a number is 45, what is \[\frac{1}{5}\] of the same number?
  A)
   5                                 done clear
  B)
          25                   done clear
  C)
          30                   done clear
  D)
          81 done clear
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• question_answer13)
  Solve for \[x:\frac{6x-2}{9}+\frac{3x+5}{18}=\frac{1}{3}.\]
  A)
   \[\frac{1}{3}\]                                    done clear
  B)
          \[\frac{2}{3}\]                        done clear
  C)
          \[\frac{3}{5}\]                                    done clear
  D)
          \[\frac{8}{3}\]                                    done clear
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• question_answer14)
  Which of the following statement do not hold in solving the equation\[15+3x=3\]?  
  A)
   \[3x=3-15\]    done clear
  B)
         \[15-3=-3x\]                done clear
  C)
          \[15+\frac{3x}{3}=3\]         done clear
  D)
          \[\frac{15}{3}+\frac{3x}{3}=\frac{3}{3}\]           done clear
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• question_answer15)
  Form an equation of the form \[ax+b=c,\]where a, b and c are constants, such that the solution of the equation is x = 4.
  A)
   \[2x+5=15\]              done clear
  B)
          \[7x+2=10\]              done clear
  C)
          \[5x+4=16\]              done clear
  D)
          \[3x+4=16\]  done clear
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• question_answer16)
  Ram's father's age is 3 years more than two times Ram's age. Ram's father is 45 years old. Form an equation to find Ram's age.                                  
  A)
   \[2x+3=45\]              done clear
  B)
         \[3x+2=45\]               done clear
  C)
          \[6x+3=45~\]           done clear
  D)
          \[5x+1=45~\]           done clear
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• question_answer17)
  A shopkeeper sells bananas in two types of boxes, one small and one large. A large box contains as many as 6 small boxes plus 2 loose bananas. Form an equation which gives the number of bananas in each small box, if the number of bananas in 1 large box is 50.                             
  A)
   \[3x+1=50\]  done clear
  B)
          \[x+1=20~\]             done clear
  C)
          \[6x+2=50\]              done clear
  D)
          \[2x+1=20\]              done clear
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• question_answer18)
  The people of Delhi planted trees in a garden. Some of the trees were fruit trees. The number of non-fruit trees were 3 more than four times the number of fruit trees. What was the number of fruit trees planted, if the number of non, fruit trees planted was 87?
  A)
   42                   done clear
  B)
          21                   done clear
  C)
          40                   done clear
  D)
          62 done clear
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• question_answer19)
  The teacher tells the class that the highest marks obtained by a student in her class is four times the lowest marks plus 6. The highest score is 65. Form the equation which will calculate the lowest marks.
  A)
   \[6m+4=65\]             done clear
  B)
          \[4m+65=6\] done clear
  C)
          \[4m+6=65\]             done clear
  D)
          \[6m+65=4\] done clear
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• question_answer20)
  There are some lotus flowers in a pond and some bees are hovering around. If one bee lands on each flower, one bee will be left. If two bees land on each flower, one flower will be left. Then, the number of flowers and bees respectively are ____.
  A)
   3, 4                             done clear
  B)
          4, 3     done clear
  C)
          2, 3                 done clear
  D)
          3, 2 done clear
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• question_answer21)
  A number consists of two digits whose sum is 9. If 27 is added to the number, its digits are interchanged. Which of the given steps is CORRECT to find the number?       

  Step 1: Let the unit's digit be x

  Step 2: Then, ten's digit \[=(9-x)\] \[\therefore \] Number \[=10\times (9-x)+x\] \[\Rightarrow \] \[90-10x+x=(90-9x)\]

  Step 3: Adding 27 to the number \[90-9x,\] we get \[117-9x~\]

  Step 4: Number with digits interchanged is \[10x+(9-x)=9x+9\]

  Step 5:  \[117-9x=9x+9\]

  Step 6: Therefore unit's digit = 6 and ten's digit = 3

  Step 7: Hence the number = 36.

  A)
   Only Step 4 done clear
  B)
          Both Step 1 and Step 2 done clear
  C)
          Step 1, 2, 3 and 4 done clear
  D)
          All steps are correct done clear
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• question_answer22)
  Select the INCORRECT statement.
  A)
   In an equation, to maintain the balance or equality, any number added to one side must also be added to the other side. done clear
  B)
          Anything subtracted from one side of an equation must also be subtracted from the other side. done clear
  C)
          If one side of an equation is multiplied by a number, the other side must also be multiplied by the same number. done clear
  D)
          If one side of an equation is divided by a number, the other side must also be multiplied by the same number. done clear
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• question_answer23)
  Sum of two numbers is 45. One is twice the other. (a) If smaller number is l, find the other number.                       (b) Find the equation formed. (c) Find the numbers.
  A)

  (a)	(b)	(c)
  \[2l\]	\[l+2l=45\]	\[10,35\]

                  done clear
  B)
        

  (a)	(b)	(c)
  \[2l\]	\[l+2l=45\]	\[15,30\]

                  done clear
  C)
        

  (a)	(b)	(c)
  \[l+2\]	\[45+l+2=l\]	\[15,30\]

  done clear
  D)
        

  (a)	(b)	(c)
  \[ll2\]	\[45+l/2-l=0\]	\[25,20\]

  done clear
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• question_answer24)
  In a quiz, 40 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth Rs. 2500 and Rs. 1500, respectively. If the total prize money is Rs. 85,000, then   

  (i) the equation formed is

  (ii) the number of 1st prizes are

  (iii) the number of 2nd prizes are

             
  A)

  (i)	(ii)	(iii)
  \[2500x+1500(40-x)=85000\]	25	15

                  done clear
  B)

  (i)	(ii)	(iii)
  \[2500x-1500(40-x)=85000\]	36	4

                  done clear
  C)

  (i)	(ii)	(iii)
  \[2500x\times 1500(x-40)=85000\]	20	20

                  done clear
  D)

  (i)	(ii)	(iii)
  \[2500x-1500(x-40)=85000\]	15	25

  done clear
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• question_answer25)
  Match the following.

  Column-l	Column-II
  (i) Arjun's father's age is 5 years more than four times Arjun's age. Find Arjun's age, if his father is 37 years old.	(p) 9
  (ii) Ramesh says that he has 8 notebooks more than four times the number of notebooks Anuj has. Ramesh has 48 notebooks. How many notebooks does Anuj have?	(q) 8
  (iii) Varun says that he has 11 erasers more than five times the number of erasers erasers. How many erasers does Sameer have?	(r) 10

             
  A)
   (i)\[\to \] (q). (ii)\[\to \] (p), (iii) \[\to \] (r) done clear
  B)
   (i) \[\to \](q), (ii)\[\to \] (r), (iii) \[\to \](p) done clear
  C)
   (i) \[\to \] (p), (ii) \[\to \] (q), (iii) \[\to \] (r) done clear
  D)
   (i) \[\to \] (p), (ii) \[\to \] (r), (iii) \[\to \] (q) done clear
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