8th Class Mental Ability Linear Equations in One Variable Question Bank

done Linear Equation in one variable Total Questions - 40

• question_answer1)
  For what value of \['x'\]is \[6x+4=3x-2?\]
  A)
   -4                                done clear
  B)
   -1                    done clear
  C)
   -2 done clear
  D)
        -3                    done clear
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• question_answer2)
  If \[\frac{1}{3}x-2=\frac{2}{3},\]find the value of\['x'.\]
  A)
   4                     done clear
  B)
        8                     done clear
  C)
   3                     done clear
  D)
        6                     done clear
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• question_answer3)
  Identify the value of \['x'\]so that \[\frac{2}{3}x=\frac{3}{8}x+\frac{7}{12}.\]
  A)
   -2                    done clear
  B)
        -3                    done clear
  C)
   0                     done clear
  D)
        2                     done clear
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• question_answer4)
  If \[\frac{2x+7}{5}-\frac{3x+11}{2}=\frac{2x+8}{3}-5,\]what is the value of \[2x?\]
  A)
   -3                    done clear
  B)
        -2                    done clear
  C)
   -1                    done clear
  D)
        -4                    done clear
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• question_answer5)
  Find the value of \['x'\]for which \[\frac{2x+3}{3x+4}=\frac{2x-3}{3x-2}.\]
  A)
   2                     done clear
  B)
        -3                    done clear
  C)
   -1                    done clear
  D)
        4                                 done clear
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• question_answer6)
  Between which of the following two values does \['x'\]lie if \[0.3x+0.4=0.28x+1.16?\]
  A)
   25 and 27       done clear
  B)
        29 and 31       done clear
  C)
   37 and 39       done clear
  D)
        43 and 45       done clear
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• question_answer7)
  Find the value of \['x'\]if           \[\frac{2x+7}{5}+6=\frac{3x+4}{10}+8.\]
  A)
               12                   done clear
  B)
        14       done clear
  C)
        10                               done clear
  D)
   16 done clear
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• question_answer8)
  If \[\frac{y+6}{4}+\frac{y-3}{5}=\frac{5y-4}{8},\]what is \[{{y}^{4}}?\]
  A)
  \[{{4}^{4}}\]                        done clear
  B)
       \[{{2}^{4}}\]                        done clear
  C)
   \[{{6}^{4}}\]                       done clear
  D)
        \[{{8}^{4}}\]                                   done clear
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• question_answer9)
  If \[3x+7={{x}^{2}}+P=7x+5,\]what is the value of ?P??
  A)
  \[\frac{1}{2}\]             done clear
  B)
        \[8\frac{1}{4}\]                      done clear
  C)
   \[5\frac{1}{3}\]                      done clear
  D)
        \[3\frac{1}{5}\] done clear
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• question_answer10)
  If \[\frac{x}{2}-\frac{3x}{4}+\frac{5x}{6}=21,\]find the value of \['x'.\]
  A)
   30                   done clear
  B)
        42                   done clear
  C)
   36                   done clear
  D)
        28                               done clear
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• question_answer11)
  Two-fifth of one-fourth of three-seventh of a number is 15. What is half of that number?
  A)
   350                 done clear
  B)
        42                   done clear
  C)
        200                 done clear
  D)
        175                 done clear
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• question_answer12)
  Two numbers are such that the ratio between them is 4: 7. If each is increased by 4, the ratio becomes 3: 5. Find the larger number.
  A)
   36                   done clear
  B)
        48      done clear
  C)
        34                   done clear
  D)
        32                   done clear
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• question_answer13)
  In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts 60 questions in all and secures 140 marks, find the number of questions he attempts correctly.
  A)
   35                   done clear
  B)
        38                   done clear
  C)
        40                   done clear
  D)
        42                   done clear
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• question_answer14)
  Arun's Piggy bank is full of one-rupee and fifty-paise coins. It contains 3 times as many fifty paise coins as one rupee coins. The total amount of the money in the bank is Rs 35. How many coins of each kind are there in the bank?

  Rs 0.50

  Rs 1

                 
  A)

  18

  12

                  done clear
  B)

  42

  14

  done clear
  C)

  20

  26

                  done clear
  D)

  10

  20

  done clear
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• question_answer15)
  The length of a rectangle is 6 m less than three times its breadth. Find the dimensions of the rectangle if its perimeter is 148 m.

  Length

  Breadth

                 
  A)

  34 m

  28 m

                  done clear
  B)

  21 m

  16 m

                  done clear
  C)

  54 m

  20 m

  done clear
  D)

  42 m

  18 m

  done clear
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• question_answer16)
  If \[AB=10\,cm\]and \[2AP=3PB,\]find\['x'\].
  A)
   4 cm                           done clear
  B)
   6 cm               done clear
  C)
        8 cm               done clear
  D)
        5 cm   done clear
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• question_answer17)
  AB is a straight line. Find\['x'.\]
  A)
  \[40{}^\circ \] done clear
  B)
  \[60{}^\circ \] done clear
  C)
  \[30{}^\circ \] done clear
  D)
  \[50{}^\circ \] done clear
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• question_answer18)
  If the perimeter of the triangle is 12 cm, find \['x'.\]
  A)
   6cm                done clear
  B)
        3cm    done clear
  C)
        4cm    done clear
  D)
        5cm                done clear
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• question_answer19)
  One of the angles of a certain triangle is three times the second angle and the third angle is \[16{}^\circ \] smaller than the first. Find the three angles.
  A)
  \[72{}^\circ ,\text{ }28{}^\circ ,\text{ }80{}^\circ \] done clear
  B)
  \[50{}^\circ ,\text{ }45{}^\circ ,\text{ }65{}^\circ \]   done clear
  C)
  \[90{}^\circ ,\text{ }45{}^\circ ,\text{ }45{}^\circ \] done clear
  D)
  \[28{}^\circ ,\text{ }68{}^\circ ,\text{ }84{}^\circ \]   done clear
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• question_answer20)
  6 more than thrice a certain number is divided by 7 less than twice that number, gives 18. Find the number.
  A)
   5                                 done clear
  B)
   2        done clear
  C)
        4                     done clear
  D)
        3                                 done clear
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• question_answer21)
  A boy is one-third as old as his father. Twelve years hence he will be half as old as his father. Find the respective present ages of the boy and his father.
  A)
   12 years, 36 years         done clear
  B)
   16 years, 48 years       done clear
  C)
   20 years, 60 years         done clear
  D)
   25 years, 75 years done clear
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• question_answer22)
  If the sum of three consecutive even numbers is 258, find the numbers.
  A)
   82, 84 and 86  done clear
  B)
            84, 86 and 88 done clear
  C)
                    88, 90 and 92   done clear
  D)
            80, 82 and 84 done clear
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• question_answer23)
              In a class of girls, Rs 6 from each is collected for a photograph to be kept in their class room. If five more girls are added to the class, each would have paid one rupee less. Find the number girls in the class.
  A)
   20                   done clear
  B)
        32      done clear
  C)
        25                   done clear
  D)
        18                   done clear
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• question_answer24)
  The difference between the numerator and the denominator of a fraction is 5. If 5 is added to its denominator, the fraction is decreased by \[1\frac{1}{4}.\] Find the fraction.
  A)
  \[1\frac{1}{4}\]                       done clear
  B)
        \[2\frac{1}{4}\]                      done clear
  C)
   \[5\frac{1}{4}\]                      done clear
  D)
       \[3\frac{1}{4}\]                       done clear
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• question_answer25)
  A daily wage worker was paid Rs 1700 for a period of 30 days. During this period he was absent for 4 days and was fined Rs 15 per day for absence. He was paid the full salary only for 18 days as he came late on the other days. Those who came late were given only half the salary for that day. What was the total salary paid per month to a worker who came on time every day and was never absent?
  A)
   Rs 1800      done clear
  B)
                    Rs 2000          done clear
  C)
   Rs 2200          done clear
  D)
        Rs 2400 done clear
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• question_answer26)
  Vijay starts from his home to school on cycle at 10 kmph and reaches 4 minutes earlier than the scheduled time. However, when he cycles at 8 kmph, he is late by 5 minutes. What is the distance between his residence and the school?
  A)
   8 km               done clear
  B)
        9 km               done clear
  C)
        6 km               done clear
  D)
        5 km   done clear
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• question_answer27)
  The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number.
  A)
   48                   done clear
  B)
        39                   done clear
  C)
        66                   done clear
  D)
        84                   done clear
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• question_answer28)
  Divide 300 into two parts so that half of one may be less than the other by 48.
  A)
   170, 130         done clear
  B)
        172, 128         done clear
  C)
        168, 132         done clear
  D)
        150, 150 done clear
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• question_answer29)
              A steamer goes downstream from one port to another in 4 hours. It covers the same distance in 5 hours upstream. If the speed of the stream is 2 km per hour, find the distance between the two ports.
  A)
   56 km             done clear
  B)
        68 km             done clear
  C)
   80 km             done clear
  D)
        95 km done clear
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• question_answer30)
  A beautiful pearl necklace of a young lady broke and the pearls were all scattered on the floor; one-third of the number of pearls was on the ground, one-fifth was on the bed, one sixth was found by the pretty lady, one-tenth was collected by her friend and six were seen hanging in the thread. Find the total number of pearls.
  A)
   10                   done clear
  B)
        20      done clear
  C)
        30      done clear
  D)
        40 done clear
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• question_answer31)
  Solve \[\frac{x}{4}+\frac{x}{6}=x-7.\]
  A)
   10                   done clear
  B)
        12                   done clear
  C)
        14                   done clear
  D)
        16                               done clear
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• question_answer32)
  One year ago, the ratio of the ages of Gaurav and Sachin was 6: 7 respectively. Four years hence, this ratio would become 7: 8. How old is Sachin now?
  A)
   30 years          done clear
  B)
        32 years          done clear
  C)
        34 years          done clear
  D)
        36 years          done clear
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• question_answer33)
  If \[x=1-q\]and \[y=2q+1,\]for what value of 'q' is \['x'\] equal to\['y'\]?
  A)
   -1                    done clear
  B)
        0                     done clear
  C)
   \[\frac{1}{2}\]            done clear
  D)
        2                     done clear
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• question_answer34)
  A worker may claim Rs 1.50 for each km which he travels by taxi and 50 p for each km he drives in his own car. If in one week he claimed Rs 50 for travelling 80 km, how many km did he travel by taxi?
  A)
   10 km             done clear
  B)
        12km                          done clear
  C)
   13 km             done clear
  D)
        14 km done clear
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• question_answer35)
  A cricket team won 3 matches more than those they lost. If a win gives them 2 points and loss (-1) point, how many matches, in all, have they played if their score is 23?
  A)
   17                   done clear
  B)
        20      done clear
  C)
        37                   done clear
  D)
        40                   done clear
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• question_answer36)
  The total monthly salary of 4 men and 2 women is Rs 46000. If a woman earns Rs 500 more than a man, what is the monthly salary of a woman?
  A)
   Rs 6500          done clear
  B)
        Rs 7500          done clear
  C)
        Rs 8000          done clear
  D)
        Rs 9000                      done clear
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• question_answer37)
  The total cost of 3 tables and 2 chairs is Rs 745. If a table costs ` 40 more than a chair, find the price of each.
  A)
   Rs 130, Rs 750 done clear
  B)
              Rs 125, Rs 165           done clear
  C)
        Rs 140, Rs 170  done clear
  D)
                    Rs 150, Rs 180           done clear
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• question_answer38)
  7 is added to a certain number; the sum is multiplied by 5; the product is divided by 9 and 3 is subtracted from the quotient. The remainder is 12. Find the number.
  A)
   20                   done clear
  B)
        30      done clear
  C)
        40                   done clear
  D)
        60 done clear
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• question_answer39)
  The average of four consecutive even numbers is 27. Find the largest of these numbers.
  A)
   28                   done clear
  B)
        24                   done clear
  C)
   30                   done clear
  D)
        26                   done clear
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• question_answer40)
  A man sold an article for Rs 495 and gained 10% on it. Find the cost price of the article.
  A)
   Rs 525            done clear
  B)
        Rs 485            done clear
  C)
   Rs 450            done clear
  D)
        Rs 470 done clear
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