8th Class Mathematics Linear Equations in One Variable Question Bank

done Linear equations in One Variable Total Questions - 25

• question_answer1)
  Solve for x: \[\frac{(3x+1)}{16}+\frac{(2x-3)}{7}=\frac{(x+3)}{8}+\frac{(3x-1)}{14}\]
  A)
   5                                 done clear
  B)
   \[10\] done clear
  C)
  \[-14\]  done clear
  D)
         \[12\] done clear
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• question_answer2)
  A number is 56 greater than the average of its third, quarter and one-twelfth. Find the number.
  A)
   85                   done clear
  B)
          64       done clear
  C)
   72                   done clear
  D)
          40                   done clear
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• question_answer3)
  If \[\frac{1}{3}\] of a number is 10 less than the original number, then the number is_____.
  A)
   30                   done clear
  B)
          15                   done clear
  C)
   10                   done clear
  D)
          27                   done clear
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• question_answer4)
  Solve for \[x:6(3x+2)-5(6x-1)=6(x-3)-5(7x-6)+12x\]
  A)
   -1                    done clear
  B)
          1         done clear
  C)
   0                     done clear
  D)
          2 done clear
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• question_answer5)
  The number 299 is divided into two parts in the ratio 5:8. The product of the numbers is_____.
  A)
   21140 done clear
  B)
          21294 done clear
  C)
          21160 done clear
  D)
          31294             done clear
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• question_answer6)
  If \[{{\left( \frac{\text{2}}{\text{3}} \right)}^{\text{rd}}}\] of a number is 20 less than the original number, then the number is_____.
  A)
   60                   done clear
  B)
          40 done clear
  C)
   80                   done clear
  D)
                      120 done clear
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• question_answer7)
  The perimeter of a rectangle is numerically equal to the area of rectangle. If width of rectangle is \[\text{2}\frac{3}{4}cm\], then its length is_____.
  A)
   \[\frac{11}{3}cm\]     done clear
  B)
          \[\frac{22}{3}cm\]     done clear
  C)
          \[11cm\]          done clear
  D)
          \[10cm\]                      done clear
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• question_answer8)
  A number whose seventh part exceeds its eighth part by 1, is _____.
  A)
   58                   done clear
  B)
          56                   done clear
  C)
   64                   done clear
  D)
          68 done clear
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• question_answer9)
  A number consists of two digits whose sum is 9. If 27 is subtracted from the original number, its digits are interchanged. Then the original number is _____.
  A)
   53                   done clear
  B)
          45                   done clear
  C)
   92                   done clear
  D)
          63       done clear
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• question_answer10)
  The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to its denominator, the new number becomes 1/5. The original rational number is;___.
  A)
   \[-\frac{5}{8}\]                                  done clear
  B)
   \[\frac{5}{8}\]                        done clear
  C)
   \[\frac{3}{8}\]                        done clear
  D)
          \[-\frac{3}{8}\] done clear
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• question_answer11)
  If \[x-\left( 2x-\frac{5x-1}{3} \right)=\frac{x-1}{3}+\frac{1}{2}\] then, \[x\] is equal to ___.
  A)
   \[\frac{3}{2}\]                                    done clear
  B)
   \[\frac{4}{7}\]                        done clear
  C)
   \[\frac{7}{3}\]                        done clear
  D)
          \[\frac{9}{2}\] done clear
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• question_answer12)
  A 2-digit number is less than 20. The sum of the digits is double that of their product. What is the number?
  A)
   12                               done clear
  B)
   15                   done clear
  C)
   13                   done clear
  D)
          11 done clear
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• question_answer13)
  Find two parts of 34 such that \[{{\left( \frac{\text{4}}{\text{7}} \right)}^{\text{th}}}\]of one part is equal to \[{{\left( \frac{2}{5} \right)}^{\text{th}}}\] of the other.
  A)
   16, 18             done clear
  B)
   14, 20 done clear
  C)
          15, 19 done clear
  D)
          None of these  done clear
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• question_answer14)
  if the angles of a triangle are in the ratio 2:3:4, then the difference between the greatest and the smallest angle is ____.
  A)
   \[\text{10 }\!\!{}^\circ\!\!\text{ }\]                             done clear
  B)
   \[\text{20 }\!\!{}^\circ\!\!\text{ }\]     done clear
  C)
          \[\text{30 }\!\!{}^\circ\!\!\text{ }\]                 done clear
  D)
          \[\text{40 }\!\!{}^\circ\!\!\text{ }\]                 done clear
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• question_answer15)
  One-sixth of a number when subtracted from the number itself gives 25. The number is
  A)
   30       done clear
  B)
          32       done clear
  C)
   35                   done clear
  D)
          28 done clear
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• question_answer16)
  There were only two candidates in an election. One got \[\text{62 }\!\!%\!\!\text{ }\] votes and was elected by a margin of 144 votes. The total number of voters were _____.
  A)
   500                             done clear
  B)
   600     done clear
  C)
   700                 done clear
  D)
          800 done clear
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• question_answer17)
  Sunita is twice a sold as Ashima. If six years is subtracted from Ashima's age and four years added to Sunita's age, then Sunita will be four times that of Ashima's age. Find the sum of their ages two years ago.
  A)
   40 years                      done clear
  B)
   42 years          done clear
  C)
   36 years          done clear
  D)
          38 years          done clear
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• question_answer18)
  At a party, colas, squash and fruit juice were offered to guests. One-fourth of the guests drank colas, One-third drank squash, two-fifths drank fruit juice and just three did not drink anything. How many guests were there in all?
  A)
   240                             done clear
  B)
   180     done clear
  C)
   144                 done clear
  D)
          190     done clear
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• question_answer19)
  Two years ago, Mohit was three times as old as his son and two years hence, twice of his age will be equal to five times that of his son. Then the present age of Mohit is _____.
  A)
   14 years done clear
  B)
          38 years          done clear
  C)
   32 years          done clear
  D)
          34 years          done clear
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• question_answer20)
  A steamer goes downstream and covers the distance between two ports in 5 hours while it covers the same distance upstream in 6 hours. If the speed of the stream is 1 km/hr, find the speed of the steamer in still water.
  A)
   12 km/hr         done clear
  B)
          11 km/hr         done clear
  C)
          13 km/hr         done clear
  D)
          14 km/hr done clear
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• question_answer21)
  Fill in the blanks.

  (i) The solution of the equation \[ax+b=0\] is____.

  (ii) The shifting of a number from one side of an equation to other is _____.

  (iii) If a and b are positive integers then the solution of the equation \[ax=b\] has to be always _____.

  (iv) Linear equation in one variable has only one variable with power____.

  A)

  (i)	(ii)	(iii)	(iv)
  \[x=b/a\]	Commutativity	Positive	1

                  done clear
  B)

  (i)	(ii)	(iii)	(iv)
  \[x=-b/a\]	Commutativity	Negative	2

                  done clear
  C)

  (i)	(ii)	(iii)	(iv)
  \[x=b/a\]	Transposition	Negative	2

  done clear
  D)

  (i)	(ii)	(iii)	(iv)
  \[x=-b/a\]	Transposition	Positive	1

  done clear
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• question_answer22)
  Which of the following statements is CORRECT?

  Statement 1: \[X=\frac{1}{2}\] is the solution of \[\frac{(2x-3)}{4}-\frac{(2x-1)}{2}=\frac{x-2}{3}\].

  Statement 2: \[x=\frac{63}{2}\] is the solution of \[\frac{2x-17}{2}-\left( x-\frac{x-1}{3} \right)=12\].

  A)
   Only Statement-1 done clear
  B)
   Only Statement-2 done clear
  C)
   Both Statement -1 and Statement - 2 done clear
  D)
   Neither Statement -1 nor Statement - 2 done clear
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• question_answer23)
  State 'T' for true and 'F' for false.

  I. An altitude of a triangle is five-third the length of its corresponding base. If the altitude be increased by 4 cm and the base be decreased by 2 cm the area of the triangle would remain the same. The base and the altitude of the triangle respectively is 12 cm and 20 cm.

  II. The perimeter of a rectangle is 140 cm. If the length of the rectangle is increased by 2 cm and its breadth decreased by 2 cm the area of the rectangle is increased by 66 sq. cm. The length and breadth of the rectangle respectively is 35 cm and 30 cm.

  III. The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other number then one of the numbers will be 1411.

  A)

  I	II	III
  F	F	F

                  done clear
  B)

  I	II	III
  F	T	T

                  done clear
  C)

  I	II	III
  T	F	F

                  done clear
  D)

  I	II	III
  T	F	T

  done clear
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• question_answer24)
  Which of the following statements is INCORRECT?
  A)
   Kusum buys some chocolates at the rate of Rs. 10 per chocolate. She also buys an equal number of candies at the rate of Rs. 5 per candy. She makes a 20% profit on chocolates and 8% profit on candies. At the end of the day, all chocolates and candies are sold out and her profit is Rs. 240. Therefore, Kusum buys 100 chocolates. done clear
  B)
   A carpenter charged Rs. 2500 for making a bed. The cost of materials used is Rs. 1100 and the labour charges are Rs. 200/hr. So, the carpenter will work for 7 hours. done clear
  C)
   On dividing Rs. 200 between A and B such that twice of A's share is less than 3 times B's share by 200. So, B's share is Rs. 120. done clear
  D)
   Madhulika thought of a number, double it and added 20 to it. On dividing the resulting number by 25, she gets 4. Hence, the required number is 45. done clear
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• question_answer25)
  Match the following.

  Column - I	Column - II
  P. If \[\frac{5m}{6}+\frac{3m}{4}=\frac{19}{12},\] then \[m=\]	(i) \[\frac{1}{6}\]
  Q. If \[2x+\frac{3}{4}=\frac{x}{2}+1,\] then \[x=\]	(ii) \[36\]
  R. If \[\frac{z}{2}-\frac{3z}{4}+\frac{5z}{6}=21,\] then \[z=\]	(iii) \[\frac{27}{10}\]
  S. If \[\frac{y}{2}-\frac{1}{5}=\frac{y}{3}+\frac{1}{4},\] then \[y=\]	(iv) 1

  A)
   P\[\to \](iii); Q\[\to \](iv); R\[\to \](i); S\[\to \](ii) done clear
  B)
   P\[\to \](iv); Q\[\to \](ii): R\[\to \](iii): S\[\to \](i) done clear
  C)
   P\[\to \](ii); Q\[\to \](i); R\[\to \](iii); S\[\to \](iv) done clear
  D)
   P\[\to \](iv); Q\[\to \](i); R\[\to \](ii); 5\[\to \](iii) done clear
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