8th Class Mathematics Linear Equations in One Variable Question Bank

done Linear Equations in One Variable Total Questions - 45

• question_answer1)
  If \[\frac{x-5}{2}-\frac{x-3}{5}=\frac{1}{2},\] what is the value of 'x'?
  A)
  \[7\]    done clear
  B)
  \[9\]                     done clear
  C)
  \[8\]                                     done clear
  D)
  \[5\]                     done clear
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• question_answer2)
  Which of the following values satisfies \[\frac{2x+1}{3x-1}=\frac{3}{2}\]?
  A)
   \[x=1\]                                done clear
  B)
                          \[x=-1\]               done clear
  C)
                          \[x=2\]                                done clear
  D)
                          \[x=-3\] done clear
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• question_answer3)
  In an examination, a student was asked to find \[{{\frac{3}{14}}^{th}}\] of a certain number. By mistake, he found \[\frac{3}{4}\] of it. His answer was 150 more than the correct answer. What was the number given to him?
  A)
   \[290\]                                 done clear
  B)
                          \[280\]                 done clear
  C)
                          \[240\]                                 done clear
  D)
                          \[180\]                 done clear
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• question_answer4)
  \[{{\frac{2}{3}}^{rd}}\] of a number when multiplied by \[{{\frac{3}{4}}^{th}}\]of the same number gives 338. What is the number?
  A)
   \[18\]                                                   done clear
  B)
                          \[24\]                                   done clear
  C)
                          \[36\]                                   done clear
  D)
                          \[26\] done clear
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• question_answer5)
  If \[3\frac{1}{x}\times 3\frac{3}{4}=12\frac{1}{2},\]what is the value of 'x'?
  A)
   \[1\]                                     done clear
  B)
   \[\frac{1}{3}\]                                   done clear
  C)
  \[2\]                                     done clear
  D)
   \[3\]     done clear
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• question_answer6)
  Four students Preeti, Qadir, Ravi and Sonam solved the equation \[\frac{p-3}{p+4}=\frac{p+1}{p-2}\].Their answers are \[-\frac{1}{5},\frac{1}{5},\frac{2}{5}\] and \[-\frac{2}{5}\]respectively.  Whose answer is correct?
  A)
   Ravi                                       done clear
  B)
                          Qadir                    done clear
  C)
                          Sonam                                 done clear
  D)
                          Preeti done clear
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• question_answer7)
  When 75% of a number is added to 75 the result is the number again. What is the number?
  A)
   \[150\]                                 done clear
  B)
                          \[300\] done clear
  C)
                          \[100\]                                 done clear
  D)
                          \[450\]                 done clear
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• question_answer8)
  A student has to secure 40% marks to pass. He got 30 marks and failed by 50 marks. What is the maximum number of marks?
  A)
   \[160\]                                 done clear
  B)
                          \[180\]                                 done clear
  C)
                          \[200\]                                 done clear
  D)
                          \[320\] done clear
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• question_answer9)
  If the sum of three consecutive even numbers is 234, which is smallest among them?
  A)
   \[76\]                                   done clear
  B)
                          \[78\]   done clear
  C)
                          \[80\]                                   done clear
  D)
                          \[68\] done clear
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• question_answer10)
  The prices of a scooter and cycle are in the ratio\[9:5\]. If the scooter costs \[Rs.4,200\]more than a cycle, what is the price of the cycle?
  A)
  \[Rs.\,5250\]                                      done clear
  B)
                         \[Rs.5200\]                                         done clear
  C)
                         \[Rs.\,5000\]                                      done clear
  D)
                          \[Rs.\,4800\]     done clear
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• question_answer11)
  351 is divided in the ratio\[2:7\]. Find the product of the two numbers.
  A)
   \[Rs.\,20294\]      done clear
  B)
                          \[Rs.\,21294\]                   done clear
  C)
                          \[Rs.\,25295\]                   done clear
  D)
                          \[Rs.\,31294\] done clear
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• question_answer12)
  A boat goes downstream and covers the distance between two ports in 4 hours while it covers the same distance upstream in 5 hours. If the speed of the stream is \[2\text{ }kmph,\] what is the speed of the boat in still water?                  
  A)
   \[15\text{ }kmph\]                         done clear
  B)
                          \[20\text{ }kmph\]                         done clear
  C)
                          \[24\text{ }kmph\]                         done clear
  D)
                          \[\text{18 }kmph\] done clear
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• question_answer13)
  If \[\frac{2}{3}\] of a number is 20 less than the original number, what is the original number?                            
  A)
   \[60\]                   done clear
  B)
                                          \[40\]                   done clear
  C)
                          \[80\]                                   done clear
  D)
                          \[120\]                 done clear
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• question_answer14)
  If 10 is added to four times a certain number the result is 5 less than five times the number. What is the number?
  A)
   \[10\]                                                   done clear
  B)
                          \[15\]                                   done clear
  C)
                          \[20\]                                   done clear
  D)
                          \[25\] done clear
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• question_answer15)
  If a number increased by 8% of itself gives 135, what is the number?
  A)
   \[112\]                                                 done clear
  B)
                          \[100\]                                 done clear
  C)
                          \[125\]                                 done clear
  D)
                          \[75\] done clear
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• question_answer16)
  By selling a bicycle for \[Rs.\,1885,\] a man gains 16%. At what price did he buy the bicycle?
  A)
   \[Rs.1625\]                        done clear
  B)
                          \[Rs.1825\]                        done clear
  C)
                          \[Rs.2000\]                        done clear
  D)
                          \[Rs.1450\]                        done clear
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• question_answer17)
  What is the solution of \[{{(x+4)}^{2}}-{{(x-5)}^{2}}=9\]?
  A)
   \[x=1\]                done clear
  B)
                          \[x=2\]                done clear
  C)
                          \[x=3\]                done clear
  D)
                          \[x=4\] done clear
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• question_answer18)
  If the angles of a triangle are in the ratio  \[2:3:4,\]what is the difference between the greatest and the smallest angles?
  A)
   \[{{10}^{o}}\]                    done clear
  B)
                          \[{{20}^{o}}\]   done clear
  C)
                          \[{{30}^{o}}\]                    done clear
  D)
                          \[{{40}^{o}}\] done clear
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• question_answer19)
  Which of the following are the consecutive multiples of 3 whose sum is 51?
  A)
   \[24,27\]             done clear
  B)
                          \[20,31\]                             done clear
  C)
                          \[40,11\]                             done clear
  D)
                          \[25,26\] done clear
  View Solution play_arrow

• question_answer20)
  If \[2-\frac{x}{3}=4,\]what is the value of ?x??
  A)
   \[-6\]   done clear
  B)
                          \[6\]                     done clear
  C)
                          \[-4\]                    done clear
  D)
                          \[4\] done clear
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• question_answer21)
  Which of the following is the solution of \[\frac{2x}{5}=\frac{10}{3}\]?
  A)
   \[x=\frac{25}{3}\]                           done clear
  B)
                          \[x=\frac{35}{3}\]           done clear
  C)
                          \[x=\frac{45}{2}\]                           done clear
  D)
                          \[x=\frac{55}{2}\] done clear
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• question_answer22)
  If \[9-7x=5-3x,\] what is the value of 'x'?
  A)
   \[0\]                                     done clear
  B)
  \[\frac{1}{4}\]                                   done clear
  C)
  \[\frac{1}{2}\]                                   done clear
  D)
  \[1\] done clear
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• question_answer23)
  The sum of two numbers is 35 and their difference is 13. What are the numbers?
  A)
   \[10,25\]                             done clear
  B)
                          \[22,13\]             done clear
  C)
                          \[24,11\]                             done clear
  D)
                          \[20,15\]             done clear
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• question_answer24)
  Solve: \[1.32y+0.02y=1.19+y\]
  A)
   \[-\frac{7}{2}\]                                 done clear
  B)
                          \[3\frac{1}{2}\]                done clear
  C)
                          \[\frac{7}{4}\]                                   done clear
  D)
                          \[-3\frac{1}{4}\] done clear
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• question_answer25)
  One number is 3 times another number. If 15 is added to both the numbers, one of the new numbers becomes twice that of the other new number. Find the numbers.
  A)
   15 and 60   done clear
  B)
                          30 and 45 done clear
  C)
                          15 and 30   done clear
  D)
                          15 and 45 done clear
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• question_answer26)
  The width of Sudha's garden is \[\frac{2}{3}\] of its length. If its perimeter is \[40\text{ }m,\] find its dimensions.
  A)
   length \[=12\text{ }m\] and breadth \[=8\text{ }m\] done clear
  B)
                          length \[=8\text{ }m\] and breadth \[=12\text{ }m\] done clear
  C)
                          length \[=12\text{ }m\] and breadth \[=6\text{ }m\] done clear
  D)
                          length \[=8\text{ }m\] and breadth \[=4\text{ }m\] done clear
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• question_answer27)
  A boy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. He does 24 sums and obtains 37 marks. What was the number of correct sums?
  A)
   \[20\]                                   done clear
  B)
                          \[17\]                                   done clear
  C)
                          \[31\]                                                   done clear
  D)
                          \[19\] done clear
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• question_answer28)
  Arif, Ajay and Madhav secured \[m+20,\] \[2m-17\] and \[m-5\]marks respectively in an English test. What is their average marks?
  A)
   \[\frac{4m-8}{3}\]                           done clear
  B)
                          \[\frac{4m-2}{3}\]                           done clear
  C)
                          \[\frac{4m+8}{3}\]                          done clear
  D)
                          \[\frac{4m+2}{3}\] done clear
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• question_answer29)
  There are 3 bags of flour. Bag B weighs thrice as much as bag A and bag C weighs 4 kg less than bag B. If bag A weighs 6 kg, how heavy is bag C?
  A)
   \[52\text{ }kg\]                                done clear
  B)
                          \[18\,kg\]           done clear
  C)
                          \[22\,kg\]                           done clear
  D)
                          \[14\,kg\] done clear
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• question_answer30)
  When 'p' is subtracted from 10 and the difference is divided by 2, the result is 3. What is the value of 'p'?
  A)
  \[4\]                                      done clear
  B)
                          \[3\]     done clear
  C)
                          \[-4\]                    done clear
  D)
                          \[6\] done clear
  View Solution play_arrow

• question_answer31)
  Three numbers are such that the second is twice the first and the third is thrice the first. If their sum is 12, what is the value of the largest number?
  A)
   \[4\]                                     done clear
  B)
                          \[2\]                     done clear
  C)
                          \[6\]                                     done clear
  D)
                         \[8\] done clear
  View Solution play_arrow

• question_answer32)
  Subtracting 5 from thrice x results in 4. What is the value of 15 subtracted from nine times x'?
  A)
   \[15\]                                                   done clear
  B)
                          \[3\]    done clear
  C)
                          \[27\]                                   done clear
  D)
                          \[12\] done clear
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• question_answer33)
  The digits in the tens place and units place of a two digit number are t and u respectively. lf1 is placed between them, what is the value of the three digit number so formed ?
  A)
   \[100u+t+10\] done clear
  B)
                           \[100t+10+u\] done clear
  C)
                          \[10t+u+1\] done clear
  D)
                          \[100t+10u+1\] done clear
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• question_answer34)
  How much pure alcohol should be added to \[400\text{ }ml\] of strength 15% to make its strength 32% ?
  A)
   \[50\text{ }ml\]                               done clear
  B)
                          \[\text{75 }ml\]                               done clear
  C)
                          \[\text{100 }ml\]                             done clear
  D)
                          \[\text{150 }ml\] done clear
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• question_answer35)
  X is a two-digit number. Y is the number obtained on reversing the digits of X. Which of the following is true?
  A)
   \[X+Y\] is divisible by 10. done clear
  B)
                          \[X-Y\] is divisible by 6. done clear
  C)
                          \[X-Y\] is divisible by 9. done clear
  D)
                          \[X+Y\] is divisible by 8. done clear
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• question_answer36)
  Given that \[\frac{-6p-9}{3}=\frac{2p+9}{5},\] find the value of 'p'.
  A)
   \[-4\]                    done clear
  B)
                          \[-2\]                    done clear
  C)
                          \[3\]                                     done clear
  D)
                          \[5\]                     done clear
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• question_answer37)
  When a certain number 'm', is divided by 5 and added to 8, the result is equal to 3m subtracted from 4. Find the value of 'm'.
  A)
   \[2\]                                     done clear
  B)
                          \[\frac{4}{3}\]                                   done clear
  C)
                          \[-\frac{1}{3}\]                                                 done clear
  D)
                          \[-\frac{5}{4}\] done clear
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• question_answer38)
  Kiran scored 80 marks in his science test which is \[\frac{5}{6}\] of the total marks. What is the total marks for the test?
  A)
   \[96\]                                   done clear
  B)
                          \[100\]                                 done clear
  C)
                          \[104\]                                 done clear
  D)
                          \[108\]                 done clear
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• question_answer39)
  If the total of four consecutive odd numbers is 40, what is the smallest number?
  A)
   \[7\]                                     done clear
  B)
                          \[9\]                     done clear
  C)
                          \[11\]                                                   done clear
  D)
                          \[13\]   done clear
  View Solution play_arrow

• question_answer40)
  The figure shows a cuboid with a volume of\[180\text{ }c{{m}^{3}}\]. What is the value of 'p' ?
  A)
   \[72\]                                                   done clear
  B)
                          \[36\]                   done clear
  C)
                          \[18\]                                                   done clear
  D)
                          \[2\] done clear
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• question_answer41)
  The sum of two numbers is 10. One of the numbers is equal to the sum of 6 and twice the other number. What is the difference of the numbers?
  A)
   \[5\frac{1}{4}\]                                done clear
  B)
                          \[8\frac{1}{2}\] done clear
  C)
                          \[7\frac{1}{3}\]                                done clear
  D)
                          \[6\frac{2}{3}\] done clear
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• question_answer42)
  10 added to twice 'p' is 16. What is 10 subtracted from twice 'p'?
  A)
   \[3\]                                     done clear
  B)
                          \[-4\]                    done clear
  C)
                          \[-3\]                                    done clear
  D)
                           \[16\] done clear
  View Solution play_arrow

• question_answer43)
  For what value of 'n' is\[5n-4=n-1\]?
  A)
   \[\frac{5}{4}\]                                   done clear
  B)
                          \[\frac{-3}{4}\] done clear
  C)
                          \[\frac{3}{4}\]                                   done clear
  D)
                          \[\frac{-5}{4}\] done clear
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• question_answer44)
  The figure shows a rectangle with a perimeter of 60 cm. What is the value of 'k'?
  A)
   \[7\]                                     done clear
  B)
                          \[9\]                     done clear
  C)
                          \[12\]                                                   done clear
  D)
                          \[29\] done clear
  View Solution play_arrow

• question_answer45)
  If \[3a+2b+c=22,b+c=8\]and \[c=6,\]what is the value of \[a+b+c\]?
  A)
   \[12\]                                                   done clear
  B)
                          \[6\]                     done clear
  C)
                          \[2\]                                     done clear
  D)
                         \[4\] done clear
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