8th Class Mathematics Linear Equations in One Variable Question Bank

done Linear Equations in one Variable Total Questions - 40

• question_answer1)
  In the set of three consecutive natural numbers, the sum of the last two numbers is equal to the three times the first number. Find the sum of all the three numbers
  A)
   12 done clear
  B)
   14             done clear
  C)
   16                                done clear
  D)
   18 done clear
  View Solution play_arrow

• question_answer2)
  If the value of 3 + 2x is equal to 3 - 2x, then the value of 5 + 3x is
  A)
   0                     done clear
  B)
   2              done clear
  C)
   3                                 done clear
  D)
   5 done clear
  View Solution play_arrow

• question_answer3)
  The sum of five consecutive natural numbers is 65. Find the mid number
  A)
   26                                done clear
  B)
   30             done clear
  C)
   13 done clear
  D)
   32 done clear
  View Solution play_arrow

• question_answer4)
  Twelve years hence Ravi?s age will be nine times his age twelve years ago. find the present age of Ravi?s
  A)
   12 years                       done clear
  B)
   15 years done clear
  C)
   18 years          done clear
  D)
   20 years done clear
  View Solution play_arrow

• question_answer5)
  Find x, if \[\frac{3}{x+8}=\frac{4}{6-x}\]
  A)
   1                                 done clear
  B)
   2               done clear
  C)
   -2 done clear
  D)
   4 done clear
  View Solution play_arrow

• question_answer6)
  Solve \[\frac{3x+4}{x+1}=\frac{3x+2}{x-1},x\ne 1\]
  A)
   1/2                               done clear
  B)
   -3/2             done clear
  C)
   3/2                   done clear
  D)
   1 done clear
  View Solution play_arrow

• question_answer7)
  Solve \[\frac{x}{7}+\frac{x}{6}=\mathbf{x}-\mathbf{3}\] and find value of x
  A)
   1                                 done clear
  B)
   6               done clear
  C)
   126/29    done clear
  D)
   18 done clear
  View Solution play_arrow

• question_answer8)
  Two number are in the ratio 3 : 8. If the sum of the number is 165, then find the numbers
  A)
   65,100                         done clear
  B)
   55,110           done clear
  C)
   45,120 done clear
  D)
   35,130 done clear
  View Solution play_arrow

• question_answer9)
  A boy travels a distance 25 km, in 4 hours partly on foot at rate 3.5 km/hr and partly on cycle at 9 km/hr. Find the distance on foot.
  A)
   5 km                            done clear
  B)
   7 km  done clear
  C)
   6 km                            done clear
  D)
   8 km done clear
  View Solution play_arrow

• question_answer10)
  A father's age is 7 times as old as his son. Two year ago, the father was 13 times as old as his son. What are their present ages? (Son and father respectively)
  A)
   6, 24                            done clear
  B)
   8, 32            done clear
  C)
   4, 28 done clear
  D)
   9, 36 done clear
  View Solution play_arrow

• question_answer11)
  A rectangular box has a length (5P - 6)m and breadth is (P + 4)m. What is the breadth of the box, if its perimeter is 20 m
  A)
   2                                 done clear
  B)
   4               done clear
  C)
   6 done clear
  D)
   8 done clear
  View Solution play_arrow

• question_answer12)
  Hussain weight \[1\frac{1}{4}\]times more than Rahul If their total mass is 90 kg, what is Hussain is mass
  A)
   90                                done clear
  B)
   50 kg  done clear
  C)
   40                                done clear
  D)
   20 kg done clear
  View Solution play_arrow

• question_answer13)
  Reema bought x pens at Rs 2.60 each and y greeting cards at 80 paise each. If the pens costs Rs. 12 more than the cards, the equation involving x and y is
  A)
   \[13x-4y=6\]                 done clear
  B)
   \[13x-4y=60\] done clear
  C)
   \[260x-8y=100\]            done clear
  D)
   \[260x-8y=12\] done clear
  View Solution play_arrow

• question_answer14)
  The result of dividing a number of two digits by the number with digits reversed is 5/6. If the difference of digits is 1, find the number.
  A)
   45 done clear
  B)
   65              done clear
  C)
   87                                done clear
  D)
   67 done clear
  View Solution play_arrow

• question_answer15)
  If the length and breadth of a room are increased by 1 m each, its area is increased by 21 m2. If the length is increased by 1 m and breadth decreased by 1 m, the area is decreased by 5m2. Find the area of the room.
  A)
   96 \[{{m}^{2}}\]   done clear
  B)
   108 \[{{m}^{2}}\]          done clear
  C)
   90 \[{{m}^{2}}\]                    done clear
  D)
   60 \[{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer16)
  The sum of two numbers is 69 and their difference is 17. Find the numbers.
  A)
   43, 26   done clear
  B)
   46, 23           done clear
  C)
   51, 18                          done clear
  D)
   52, 17 done clear
  View Solution play_arrow

• question_answer17)
  A two digit number is seven times the sum of its digits. The number formed by reversing the digits is 18 less than the original number. Find the original number.
  A)
   86                                done clear
  B)
   64             done clear
  C)
   75                                done clear
  D)
   42 done clear
  View Solution play_arrow

• question_answer18)
  If the numerator of a fraction is increased by 2 and denominator decrease by 1, then it becomes\[\frac{2}{3}\]. If the numerator is increased by 1 and denominator increased by 2, then it becomes\[\frac{1}{3}\]. Find the fraction.
  A)
   1/7                               done clear
  B)
   2/7 done clear
  C)
   3/7                               done clear
  D)
   4/7 done clear
  View Solution play_arrow

• question_answer19)
  Five years hence, a man's age will be three times his son's age and five years ago, he was seven times as old as his son. Find their present ages.
  A)
   36, 9                            done clear
  B)
   40, 10 done clear
  C)
   48, 12                          done clear
  D)
   60, 15 done clear
  View Solution play_arrow

• question_answer20)
  If\[\frac{3x-4}{3}+\frac{5x+2}{2}=\frac{x}{6}+\mathbf{3}\], then x = ____
  A)
   1 done clear
  B)
   2             done clear
  C)
   3                                 done clear
  D)
   4 done clear
  View Solution play_arrow

• question_answer21)
  If\[\mathbf{0}.\mathbf{3}\left( \mathbf{x}-\mathbf{1} \right)-\mathbf{0}.\mathbf{5}\left( \mathbf{2x}-\mathbf{1} \right)=\mathbf{0}.\mathbf{6}\], then x = _____
  A)
   \[-\]2                            done clear
  B)
   \[-\]4/7   done clear
  C)
   \[-\]3                           done clear
  D)
   \[-\]1 done clear
  View Solution play_arrow

• question_answer22)
  Find the value of y, if \[\frac{3y-1}{5}+\frac{y-1}{2}=3+\frac{1+y}{2}\]
  A)
   5                                 done clear
  B)
   6               done clear
  C)
   7 done clear
  D)
   8 done clear
  View Solution play_arrow

• question_answer23)
  One third of a number is 8 less than the number. Find the number
  A)
   18                                done clear
  B)
   15             done clear
  C)
   9                     done clear
  D)
   12 done clear
  View Solution play_arrow

• question_answer24)
  Four-fifth of number is more than three-fourth of the number by 4. Find the number
  A)
   20                                done clear
  B)
   60             done clear
  C)
   80   done clear
  D)
   100 done clear
  View Solution play_arrow

• question_answer25)
  Find the value of x and y in the given equation \[\frac{x}{a}+\frac{y}{b}=a+b,\frac{x}{{{a}^{2}}}+\frac{y}{{{b}^{2}}}=2\]
  A)
   \[x=a,y=b\]      done clear
  B)
   \[x={{a}^{2}},y={{b}^{2}}\]     done clear
  C)
   \[x=3a,\text{ }y=b\]                 done clear
  D)
   \[x=a,y=2b\] done clear
  View Solution play_arrow

• question_answer26)
  Find the number which when added to the numerator and denominator of the ratio 11 : 23, makes it equal to the ratio 4 : 7?
  A)
   5 done clear
  B)
   10              done clear
  C)
   15                                done clear
  D)
   20 done clear
  View Solution play_arrow

• question_answer27)
  120 men had provision of food for 200 days, after 5 days, 30 men died due to expediency (i.e. due to some other immediate cause). How long will the remaining food last?
  A)
   250 days                      done clear
  B)
   300 days         done clear
  C)
   200 day            done clear
  D)
   260 days done clear
  View Solution play_arrow

• question_answer28)
  Find the solution of \[\frac{4y+1}{3}+\frac{2y-1}{2}-\frac{3y-7}{5}=6\]
  A)
   1                                 done clear
  B)
   \[-2\frac{11}{4}\]           done clear
  C)
   \[-\frac{11}{4}\]                                    done clear
  D)
   \[2\frac{3}{4}\] done clear
  View Solution play_arrow

• question_answer29)
  Solve the equation \[\frac{0.5(z-0.4)}{3.5}-\frac{0.6(z-2.7)}{4.2}=z+6.1\]
  A)
   \[-\frac{202}{35}\] done clear
  B)
   \[\frac{202}{35}\] done clear
  C)
   \[\frac{35}{202}\]                     done clear
  D)
   \[-\frac{35}{202}\] done clear
  View Solution play_arrow

• question_answer30)
  Find the value of 'm' from the expression \[\frac{6{{m}^{2}}+13m-4}{2m+5}=\frac{12{{m}^{2}}+5m-2}{4m+3}\]
  A)
   -1                                done clear
  B)
   1 done clear
  C)
   0                                 done clear
  D)
   10 done clear
  View Solution play_arrow

• question_answer31)
  If \[\frac{x-6}{x-2}+\frac{x-3}{x-8}=2\], then the value of x=?
  A)
   -22   done clear
  B)
   11              done clear
  C)
   11                                done clear
  D)
   22 done clear
  View Solution play_arrow

• question_answer32)
  60 is divided into two parts such that the sum of their reciprocals is \[\frac{3}{25}\]. What is the value of larger number?
  A)
   10                                done clear
  B)
   50   done clear
  C)
   25                                done clear
  D)
   20 done clear
  View Solution play_arrow

• question_answer33)
  Three consecutive numbers such that thrice the first, 4 times the second and twice the third together make 188. Find the least of the consecutive numbers.
  A)
   18                                done clear
  B)
   21             done clear
  C)
   19                                done clear
  D)
   20 done clear
  View Solution play_arrow

• question_answer34)
  A man is four times as old as his son. After 2 years the man will be three times as old as his son. What is the present age of the man?
  A)
   20 years                       done clear
  B)
   16 years done clear
  C)
   4 years             done clear
  D)
   24 years done clear
  View Solution play_arrow

• question_answer35)
             A student was asked to find the value of \[\frac{3}{7}\] of a sum of money. The student made a mistake by dividing the sum by \[\frac{3}{7}\]and then got an answer which exceeded the correct answer by Rs. 80. The correct answer for \[\frac{3}{7}\] of sum of money is:-
  A)
   Rs. 42                          done clear
  B)
   Rs. 24           done clear
  C)
   Rs. 81              done clear
  D)
   Rs. 18 done clear
  View Solution play_arrow

• question_answer36)
  A positive number, when increased by 10 equals 200 times its reciprocal. What is number?
  A)
   100                              done clear
  B)
   10   done clear
  C)
   20                                done clear
  D)
   200 done clear
  View Solution play_arrow

• question_answer37)
  If the sum of a number and its reciprocal is \[\frac{10}{3}\], then the numbers are
  A)
   \[3,\frac{1}{3}\]    done clear
  B)
   \[3,\frac{-1}{3}\]            done clear
  C)
   \[-3,\frac{1}{3}\]                       done clear
  D)
   \[-3,\frac{-1}{3}\] done clear
  View Solution play_arrow

• question_answer38)
  The sum of two numbers is 7 and their product is 12. What is the sum of their reciprocals?
  A)
   \[\frac{1}{12}\]                         done clear
  B)
   \[\frac{1}{7}\]             done clear
  C)
   \[\frac{7}{12}\]  done clear
  D)
   \[\frac{7}{15}\] done clear
  View Solution play_arrow

• question_answer39)
  On children?s day, sweets were to be equally distributed among 160 children in a school. Actually on the children's day 40 children were absent and therefore each child got 10 sweets extra. Total number of sweets were
  A)
   3200                            done clear
  B)
   2400           done clear
  C)
   4000                            done clear
  D)
   4800 done clear
  View Solution play_arrow

• question_answer40)
  In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts in all 40 questions and scored 120 marks, the number of questions he attempts incorrectly is: -
  A)
   8    done clear
  B)
   32              done clear
  C)
   16                                done clear
  D)
   12 done clear
  View Solution play_arrow