7th Class Mental Ability Simple Equations Question Bank

done Simple Equations Total Questions - 40

• question_answer1)
  If \[5-2x=15,\]what is the value of x?
  A)
   2                     done clear
  B)
   -5                    done clear
  C)
        8                     done clear
  D)
        -1                    done clear
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• question_answer2)
  Which value of x makes \[\frac{3}{2x}=6\] true?
  A)
   \[\frac{1}{2}\]            done clear
  B)
        \[\frac{1}{3}\]            done clear
  C)
        \[\frac{1}{4}\]            done clear
  D)
        \[\frac{1}{5}\]                        done clear
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• question_answer3)
  If\[\frac{2}{3}x+5=\frac{x}{4}-7\frac{1}{2},\] find the value of x.
  A)
   -10                  done clear
  B)
   -30                  done clear
  C)
        20                   done clear
  D)
        40       done clear
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• question_answer4)
  Which value of x satisfies the equation \[0.8x+1.25=2x+0.05?\]
  A)
   0.1                  done clear
  B)
        1.0                  done clear
  C)
        7                     done clear
  D)
        6                     done clear
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• question_answer5)
  If \[\frac{3x-1}{5}-\frac{1+x}{2}=3-\frac{x-1}{2}\] what is the value of 5x?
  A)
   45                   done clear
  B)
        40                   done clear
  C)
        35                   done clear
  D)
        30                   done clear
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• question_answer6)
  Given \[6x-7=3-4x,\] find the value of\[10x-10\].
  A)
   -5        done clear
  B)
        -1       done clear
  C)
        0                     done clear
  D)
        5         done clear
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• question_answer7)
  For what value of 'p' does \[\frac{5p+2}{7p-2}\] reduce to\[\frac{4}{5}?\]
  A)
   5        done clear
  B)
        -6       done clear
  C)
        0                     done clear
  D)
        6                     done clear
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• question_answer8)
  Two numbers differ by 8. If the smaller number is three quarters the larger, find their product.
  A)
   768                 done clear
  B)
        778                 done clear
  C)
   764                 done clear
  D)
        678     done clear
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• question_answer9)
  Find the number which when subtracted from both the numerator and denominator of \[\frac{38}{50}\]reduces it to\[\frac{2}{3}\].
  A)
   14                   done clear
  B)
        7        done clear
  C)
        12                   done clear
  D)
        16 done clear
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• question_answer10)
  When 3 is subtracted from n, the difference is equal to two-fifths of the number formed by subtracting 3 from 2n. What is the numerical value of\[\frac{n+3}{2n+3}\]?
  A)
   \[\frac{12}{17}\]                    done clear
  B)
        \[\frac{12}{31}\]                    done clear
  C)
   \[\frac{12}{21}\]                    done clear
  D)
   \[\frac{9}{19}\]                      done clear
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• question_answer11)
  If a number is tripled and 16 is added to it, the result is equal to 40 find the number.
  A)
   8        done clear
  B)
        9                     done clear
  C)
        6                     done clear
  D)
        4                                 done clear
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• question_answer12)
  42 is divided into two parts so that one part is twice the other. Find the parts.
  A)
   17, 25             done clear
  B)
        14, 28             done clear
  C)
                    20, 12             done clear
  D)
        4, 38               done clear
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• question_answer13)
  One third of a certain quantity exceeds one seventh of that quantity by 16. Find the quantity.
  A)
   96                   done clear
  B)
        84                   done clear
  C)
        72                   done clear
  D)
        63 done clear
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• question_answer14)
  If two thirds, one half and one seventh of a number is added to itself, the result is 37. Find the number.
  A)
   \[12\frac{1}{2}\]                    done clear
  B)
   \[15\frac{1}{32}\]     done clear
  C)
        \[16\frac{2}{97}\]                  done clear
  D)
        \[17\frac{2}{25}\]                  done clear
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• question_answer15)
  A number is multiplied by 4 and 5 is added to the product. If this sum is divided by 11, the result is equal to 7. Find the number.
  A)
   18                   done clear
  B)
        12                   done clear
  C)
        16                   done clear
  D)
        21                   done clear
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• question_answer16)
  The sum of two consecutive whole numbers is 12. If the smaller number is n, which of the following statements is the correct equation?
  A)
   \[2n=12\]        done clear
  B)
               \[n+n-1=12\] done clear
  C)
   \[2n-n=12\]                done clear
  D)
   \[n+n+1=12\]                       done clear
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• question_answer17)
  A book shelf can hold just 6x books each\[4\frac{1}{2}\]. cm thick or books each\[5\frac{5}{8}\], cm thick. What is the length bookshelf?
  A)
   150 cm                                               done clear
  B)
   120 cm    done clear
  C)
   135 cm           done clear
  D)
        115 cm                       done clear
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• question_answer18)
  For what value of W is the given equation true?

  \[\frac{1}{n-2}-\frac{2}{2-n}=\frac{1}{2}\]

  A)
   24                               done clear
  B)
   16                               done clear
  C)
   18                   done clear
  D)
        20       done clear
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• question_answer19)
  x is divided by 4 and 13 is added to it. If the result is 33, find the value of x.
  A)
   20                   done clear
  B)
        46                   done clear
  C)
        80                   done clear
  D)
        113                 done clear
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• question_answer20)
  Monica multiplies x by 3 and then subtracts 3 from it, resulting in 9. Meena adds 7 to the product of 5 and y resulting in 52. What is the difference of their numbers?
  A)
   3                                 done clear
  B)
   4                     done clear
  C)
        5                     done clear
  D)
        6                     done clear
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• question_answer21)
  If\[\frac{1}{5}(3x+2)-\frac{1}{3}(2x+5)=-1\], what is the value of x?
  A)
   -4     done clear
  B)
   -5       done clear
  C)
   -2       done clear
  D)
        -7                    done clear
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• question_answer22)
  The angles of a triangle are \[(2x){}^\circ ,(3x+5){}^\circ \]and\[(4x-14){}^\circ \]. Find the value of the greatest angle.
  A)
   \[42{}^\circ \]                       done clear
  B)
   \[68{}^\circ \]           done clear
  C)
        \[72{}^\circ \]           done clear
  D)
        \[45{}^\circ \]           done clear
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• question_answer23)
  Observe the given figure. What is the value of x?
  A)
   \[10{}^\circ \]                       done clear
  B)
   \[20{}^\circ \]           done clear
  C)
   \[30{}^\circ \]           done clear
  D)
        \[40{}^\circ \]                       done clear
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• question_answer24)
  A purse contains Rs. 250 in the denomination of Rs.  10 and Rs.  50. If the number of Rs.  10 notes is one more than that of Rs. 50 notes, find the number of notes of each denomination respectively.
  A)
   5, 10                           done clear
  B)
   4, 5                 done clear
  C)
        3, 10               done clear
  D)
        5, 1     done clear
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• question_answer25)
  PQRS is a square. If \[\text{PQ=}\left( \frac{\text{2}}{\text{3}}\text{x+1} \right)\text{cm}\] and\[\text{QR=9}\], what is the value of x?
  A)
   8                     done clear
  B)
   10                   done clear
  C)
   12                   done clear
  D)
        18                   done clear
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• question_answer26)
  Given \[3b-\frac{5}{2}=35\],find the value of\[9b+\frac{15}{2}.\]
  A)
   105                             done clear
  B)
   120                 done clear
  C)
        135                 done clear
  D)
        145                 done clear
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• question_answer27)
  What is the value of x for which \[12x-(3x+8)=55\] is true?
  A)
   7                     done clear
  B)
   8                     done clear
  C)
        9                     done clear
  D)
        6                                 done clear
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• question_answer28)
  If the sum of three consecutive numbers is 84, find the numbers.
  A)
   32, 22, 30                   done clear
  B)
   42, 22, 20       done clear
  C)
        27, 28, 29   done clear
  D)
                    30, 34, 20                               done clear
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• question_answer29)
  The present age of a father is six times that of his daughter. 6 years hence he will be thrice as old as his daughter. Find their present ages.
  A)
   4 years, 24 years         done clear
  B)
   5 years, 30 years done clear
  C)
   18 years, 48 years        done clear
  D)
   17years, 57 years done clear
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• question_answer30)
  The present age of Ramu's father is three times that of Ramu. After five years, the sum of their ages would be 70 years. Find their present ages.
  A)
   12 years, 42 years        done clear
  B)
   15 years, 45 years done clear
  C)
   18 years, 48 years        done clear
  D)
   17 years, 57 years done clear
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• question_answer31)
  In the equation \[5m+3=4(3-m),\] what is the value of ?m?
  A)
   1                     done clear
  B)
   \[\frac{5}{3}\]            done clear
  C)
        \[\frac{3}{2}\]            done clear
  D)
        9                     done clear
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• question_answer32)
  Given that \[3y=y+120,\] find the value of 4y.             
  A)
   60                               done clear
  B)
   120                 done clear
  C)
        240                 done clear
  D)
        480                             done clear
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• question_answer33)
  What value of 'm' makes the equation \[\frac{m}{2}+3=m-4.\]
  A)
   -14                  done clear
  B)
   11                   done clear
  C)
        10                   done clear
  D)
        14                               done clear
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• question_answer34)
  The given figure shows an isosceles triangle PQR in which \[PQ=\frac{3}{4}x\]And\[PR=12cm\].                    Find the value of x.
  A)
   8                     done clear
  B)
   12                   done clear
  C)
        16                   done clear
  D)
        24                               done clear
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• question_answer35)
  If\[5+\frac{1}{x}=5\frac{1}{2}\], what is the value of x?
  A)
   4                     done clear
  B)
   \[\frac{5}{2}\]            done clear
  C)
        2                     done clear
  D)
        \[\frac{1}{2}\]                        done clear
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• question_answer36)
  Rs. 790 is divided among P, Q and R so that P gets five times as much as Q and R gets Rs. 20 more than Q. What amount did P get?
  A)
   Rs 130                        done clear
  B)
   Rs 550            done clear
  C)
        Rs 640            done clear
  D)
        Rs 110                        done clear
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• question_answer37)
  Rajeev's age after 15 years will be 5 times his age 5 years back. What is the present age of Rajeev?
  A)
   10 years                      done clear
  B)
   5 years            done clear
  C)
        15 years          done clear
  D)
        25 years                      done clear
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• question_answer38)
  An employer pays Rs 20 for each day to a worker and changes a penality of Rs 3 per day for his erroneous works. If the worker is paid Rs 280 at the end of 60 days, for how many days was he penalized?
  A)
   40                               done clear
  B)
   20                   done clear
  C)
        30                   done clear
  D)
        15                   done clear
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• question_answer39)
  Presently, a father is 8 times as old as his daughter. After how many years will the daughter be \[\frac{1}{5}\]the father's age if she is 4 years old now?
  A)
   2 years                        done clear
  B)
   3 years            done clear
  C)
        0 years            done clear
  D)
        5 years            done clear
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• question_answer40)
  The length of a rectangle is (p + 3) cm and its breadth is (2p - 5) cm. If its perimeter is 26 cm, find the area of the rectangle in cm2.
  A)
   13                               done clear
  B)
   40                   done clear
  C)
   48                   done clear
  D)
        56 done clear
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