7th Class Mathematics Algebraic Expressions Question Bank

done Algebraic Expressions and Linear Equation Total Questions - 40

• question_answer1)
  The Coefficient of \[{{x}^{2}}\] y in \[\mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{y}{{\mathbf{z}}^{\mathbf{2}}}\mathbf{+ 5xyz -12x}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{z}\]  is ________.
  A)
  3z  done clear
  B)
  \[3{{z}^{2}}\] done clear
  C)
  \[~-12z\] done clear
  D)
  \[~-12\] done clear
  E)
   None of these done clear
  View Solution play_arrow

• question_answer2)
  The factors of the term \[-30x{{y}^{2}}\] are
  A)
  \[-5\text{ }\times \text{ }2\text{ }\times \text{ }3\text{ }\times \,\,x\text{ }\times \,\,y~~\] done clear
  B)
   \[-6\,\,\times \,\,5{{x}^{2}}y\] done clear
  C)
   \[-2\,\,\times 3\,\times \,\,5\times \,\,x\,\,\times \,\,y\,\,\times \,\,y~\] done clear
  D)
   All the above done clear
  E)
   None of these done clear
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• question_answer3)
  Which among the following statements is not true?
  A)
  The terms with different algebraic factors are called unlike terms. done clear
  B)
   Numerical Coefficient in any term of a polynomial is called numerical coefficient or coefficient of the term. done clear
  C)
   Every polynomial is a binomial. done clear
  D)
   The value of a variable is not fixed. done clear
  E)
   None of these done clear
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• question_answer4)

  The simplified expression of the expression

  \[\mathbf{13}{{\mathbf{x}}^{\mathbf{3}}}-\text{ }\mathbf{12xy}{{\mathbf{z}}^{\mathbf{2}}}+\text{ }\mathbf{10}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{yz}\text{ }+\text{ }\mathbf{14xy}{{\mathbf{z}}^{\mathbf{2}}}+\text{ }\mathbf{13x}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{z}\] \[+\text{ }{{\mathbf{y}}^{\mathbf{3}}}\] is __________.

  A)
       \[13{{x}^{3}}+2xy{{z}^{2}}+23x{{y}^{2}}z+y3~\] done clear
  B)
   \[13{{x}^{3}}+2xy{{z}^{2}}+10{{x}^{2}}yz+13x{{y}^{2}}z+{{y}^{3~}}\] done clear
  C)
   \[13{{x}^{3}}-2xy{{z}^{2}}+10{{x}^{2}}yz+13x{{y}^{2}}z+{{y}^{3}}~\] done clear
  D)
   \[13{{x}^{3}}-2xy{{z}^{2}}+23x{{y}^{2}}+{{y}^{3}}\] done clear
  E)
   None of these done clear
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• question_answer5)

  Find the value of the following expression at \[\mathbf{a}\text{ }=\text{ }-\text{ }\mathbf{2}\text{ }\mathbf{and}\text{ }\mathbf{b}\text{ }=\text{ }-\text{ }\mathbf{3}\].

  \[{{\mathbf{a}}^{\mathbf{3}}}+\text{ }\mathbf{3}{{\mathbf{b}}^{\mathbf{2}}}-\text{ }\mathbf{3ab}\text{ }+\text{ }\mathbf{5a}{{\mathbf{b}}^{\mathbf{2}}}~~~~~\]

  A)
       -75        done clear
  B)
     -89 done clear
  C)
   39 done clear
  D)
   68 done clear
  E)
  None of these done clear
  View Solution play_arrow

• question_answer6)
  On subtracting the sum of \[\mathbf{-12}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{3}}}\mathbf{+6}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{2}}}\] and \[\mathbf{-5}{{\mathbf{y}}^{\mathbf{2}}}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}\,\,\mathbf{13}{{\mathbf{x}}^{\mathbf{3}}}{{\mathbf{y}}^{\mathbf{2}}}\,\,\mathbf{from}\,\,\mathbf{3}{{\mathbf{x}}^{\mathbf{4}}}\mathbf{-}{{\mathbf{x}}^{\mathbf{2}}}\]\[\mathbf{y}\text{ }+\text{ }\mathbf{8}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{3}}}-\mathbf{23}{{\mathbf{x}}^{\mathbf{3}}}{{\mathbf{y}}^{\mathbf{2}}}+\text{ }{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{2}}}\], we get _________.
  A)
  \[3{{x}^{4}}-{{x}^{2}}y+\,\,20{{x}^{2}}{{y}^{3}}-36{{x}^{3}}{{y}^{2}}\] done clear
  B)
   \[3{{x}^{4}}-2{{x}^{2}}{{y}^{2}}-{{x}^{2}}y-4{{x}^{2}}{{y}^{3}}+10{{x}^{3}}{{y}^{2}}\] done clear
  C)
   \[3{{x}^{4}}+2{{x}^{2}}{{y}^{2}}+{{x}^{2}}y+4{{x}^{2}}{{y}^{3}}-10{{x}^{3}}{{y}^{2}}\] done clear
  D)
  \[3{{x}^{4}}+{{x}^{2}}y+4{{x}^{2}}{{y}^{3}}-10{{x}^{3}}{{y}^{2}}\] done clear
  E)
  None of these done clear
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• question_answer7)
  Which one among the following is not a pair of like terms?
  A)
  \[-\text{ }13xy{{z}^{2}},\text{ }6{{z}^{2}}xy\] done clear
  B)
   \[3{{x}^{2}}y{{z}^{2}}\text{, -3y}{{\text{x}}^{\text{2}}}{{\text{z}}^{\text{2}}}\] done clear
  C)
   \[7{{x}^{3}}y{{z}^{2}},3x{{z}^{2}}{{y}^{3}}\] done clear
  D)
   \[9x{{y}^{3}}{{z}^{2}},\,\,2{{z}^{2}}x{{y}^{3}}\] done clear
  E)
              None of these done clear
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• question_answer8)
  The speed of a car is 48 km/hr. The distance (in km) covered by the car in 'm' hours is ___________.
  A)
  \[\frac{48}{m}\] done clear
  B)
   48 + m   done clear
  C)
   48m     done clear
  D)
   (48 - m) done clear
  E)
   None of these done clear
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• question_answer9)
    Which among the following expression is not a polynomial?
  A)
  1        done clear
  B)
   \[1+\frac{1}{x}\] done clear
  C)
   x + 1   done clear
  D)
     \[\frac{{{x}^{3}}}{{{x}^{2}}}\] done clear
  E)
   None of these done clear
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• question_answer10)
  The subtraction of 11 times of x from 22 times of y is ________.
  A)
  -11y + 22x done clear
  B)
   11x - 22y done clear
  C)
   22y - 11x done clear
  D)
   11y - 22x done clear
  E)
   None of these done clear
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• question_answer11)
  The expression \[\left( \mathbf{5m}\text{ }-\text{ }\mathbf{n}\text{ }+\text{ }\mathbf{5} \right)\text{ }-\text{ }\left( \mathbf{m}\text{ }-\text{ }\mathbf{n} \right)\] is a _________
  A)
  monomial done clear
  B)
   trinomial done clear
  C)
   binomial done clear
  D)
   quadrinomial done clear
  E)
   None of these done clear
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• question_answer12)
  Which among the following statements is correct?
  A)
  Degree of a constant polynomial is 0. done clear
  B)
   Every binomial is a quadratic polynomial. done clear
  C)
   The terms having the same literal factors are called unlike or dissimilar terms done clear
  D)
   All the above done clear
  E)
   None of these done clear
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• question_answer13)

  Evaluate the following algebraic expression for \[\mathbf{x}\text{ }=\text{ }\mathbf{2},\text{ }\mathbf{y}\text{ }=\text{ }-\text{ }\mathbf{5},\text{ }\mathbf{z}\text{ }=\text{ }-\text{ }\mathbf{4},\text{ }\mathbf{a}\text{ }=\text{ }-\text{ }\mathbf{2},\text{ }\mathbf{b}=-\mathbf{1}:\]

  \[\mathbf{13}\text{ }+\text{ }\mathbf{5}{{\mathbf{z}}^{\mathbf{3}}}\mathbf{xy}\text{ }+\text{ }\mathbf{3x}{{\mathbf{y}}^{\mathbf{2}}}+\text{ }{{\mathbf{a}}^{\mathbf{2}}}\mathbf{b}\text{ }-\text{ }\mathbf{8xyz}\]

  A)
  3039 done clear
  B)
   2058 done clear
  C)
   4037                done clear
  D)
   5251 done clear
  E)
   None of these done clear
  View Solution play_arrow

• question_answer14)
  Add the following: \[\mathbf{2x}\text{ }+\text{ }\mathbf{3}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{z}\text{ }+\text{ }\mathbf{5}\] and \[\mathbf{7}\text{ }-\text{ }\mathbf{3yz}\text{ }+\text{ }\mathbf{3x}\]
  A)
  \[5x+12+3yz+3{{y}^{2}}z\] done clear
  B)
  \[5x+12-3yz+3{{y}^{2}}z\] done clear
  C)
   \[7x+10-3yz+5{{y}^{2}}z\] done clear
  D)
   \[5x-12+3yz-3{{y}^{\text{2}}}\text{z}\] done clear
  E)
   None of these done clear
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• question_answer15)
  Subtract the following: \[\mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+ 13}{{\mathbf{y}}^{\mathbf{2}}}\] from \[\mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{5}{{\mathbf{y}}^{\mathbf{2}}}\] from \[\mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{5}{{\mathbf{y}}^{\mathbf{2}}}\]
  A)
  18y2  done clear
  B)
   -18y2 done clear
  C)
   \[8{{y}^{2}}+\text{ }6{{x}^{2}}\] done clear
  D)
   \[7{{x}^{2}}-8{{y}^{2}}\] done clear
  E)
  None of these done clear
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• question_answer16)
  What should be added to: \[\mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+ 3 - 5xyz +3}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{z}\] to obtain\[\mathbf{13}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+2-8xyz+12x}{{\mathbf{z}}^{\mathbf{2}}}\mathbf{-3}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{z}\]?
  A)
  \[10{{x}^{2}}+\text{ }12x{{z}^{2}}-\text{ }3{{x}^{2}}z\text{ }+\text{ }3xyz\text{ }+\text{ }1\] done clear
  B)
   \[10{{x}^{2}}+\text{ }12x{{z}^{2}}+\text{ }6{{x}^{2}}z\text{ }+\text{ }8xyz\text{ }+\text{ }1\] done clear
  C)
  \[10{{x}^{2}}+12x{{z}^{2}}+1-3{{x}^{2}}z\text{ }+3xyz\] done clear
  D)
   \[10{{x}^{2}}+12x{{z}^{2}}-\text{ }6{{x}^{2}}z\text{ }+\text{ }13xyz\text{ }+\text{ }1\] done clear
  E)
   None of these done clear
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• question_answer17)
  What should be subtracted from \[\mathbf{3}{{\mathbf{m}}^{\mathbf{2}}}-\text{ }\mathbf{4}{{\mathbf{m}}^{\mathbf{3}}}+\text{ }\mathbf{m}\text{ }-\text{ }\mathbf{9}\] to obtain\[\mathbf{4}{{\mathbf{m}}^{\mathbf{2}}}-\text{ }\mathbf{2m}\text{ }+\mathbf{3}{{\mathbf{m}}^{\mathbf{3}}}-\text{ }\mathbf{12}\]?
  A)
  \[-7{{m}^{2}}+7{{m}^{3}}+3m-3\] done clear
  B)
  \[-{{m}^{2}}-7{{m}^{3}}-3m+3\] done clear
  C)
   \[-{{m}^{2}}-7{{m}^{3}}+3m-3\]     done clear
  D)
   \[-7{{m}^{2}}+\text{ }7{{m}^{3}}-3m+3\] done clear
  E)
   None of these done clear
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• question_answer18)
  How much does \[\mathbf{3}{{\mathbf{p}}^{\mathbf{2}}}-\mathbf{17pq}\text{ }+\text{ }\mathbf{8pqr}\] exceed\[\mathbf{3}{{\mathbf{p}}^{\mathbf{3}}}+\text{ }\mathbf{4}{{\mathbf{p}}^{\mathbf{2}}}-\text{ }\mathbf{pq}\text{ }+\text{ }\mathbf{3pqr}\]?
  A)
  \[-3{{p}^{3}}+{{p}^{2}}-5pqr+16pq\] done clear
  B)
   \[-3{{p}^{3}}-\text{ }{{p}^{2}}+\text{ }5pqr-16pq\] done clear
  C)
   \[3{{p}^{3}}-{{p}^{2}}+5pqr-16pq\] done clear
  D)
   \[-3{{p}^{3}}-{{p}^{2}}-5pqr-16pq\] done clear
  E)
   None of these done clear
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• question_answer19)
  How much is \[\mathbf{2}{{\mathbf{m}}^{\mathbf{3}}}-\text{ }\mathbf{13}{{\mathbf{m}}^{\mathbf{2}}}+\text{ }\mathbf{5m}\text{ }-\text{ }\mathbf{7}\] greater than\[\mathbf{6}{{\mathbf{m}}^{\mathbf{3}}}+\text{ }\mathbf{11}{{\mathbf{m}}^{\mathbf{2}}}-\text{ }\mathbf{8m}\text{ }+\text{ }\mathbf{7}\]?
  A)
  \[4{{m}^{3}}+\text{ }24{{m}^{2}}+\text{ }13m+14\] done clear
  B)
   \[-\text{ }4{{m}^{3}}-24{{m}^{2}}+\text{ }13m\text{ }-\text{ }14\] done clear
  C)
  \[-\text{ }4{{m}^{3}}+\text{ }24{{m}^{2}}+\text{ }13m-14\] done clear
  D)
          \[4{{m}^{3}}+\text{ }24{{m}^{2}}+\text{ }3m\text{ }+\text{ }14\] done clear
  E)
   None of these done clear
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• question_answer20)
  How much is \[\mathbf{5}{{\mathbf{x}}^{\mathbf{5}}}{{\mathbf{y}}^{\mathbf{4}}}{{\mathbf{z}}^{\mathbf{3}}}\mathbf{- 3}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{4}}}{{\mathbf{z}}^{\mathbf{3}}}\mathbf{+ 2}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{y}{{\mathbf{z}}^{\mathbf{3}}}\] less than \[\mathbf{8}{{\mathbf{z}}^{\mathbf{3}}}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{4}}}\mathbf{-12y}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{z}}^{\mathbf{3}}}\mathbf{-3}{{\mathbf{z}}^{\mathbf{3}}}{{\mathbf{y}}^{\mathbf{4}}}{{\mathbf{x}}^{\mathbf{5}}}\]
  A)
  \[4{{x}^{2}}{{z}^{3}}{{y}^{4}}-14{{x}^{2}}{{z}^{3}}y+8{{z}^{3}}{{x}^{5}}{{y}^{4}}\] done clear
  B)
   \[5{{x}^{2}}{{y}^{4}}{{z}^{3}}-\text{ }10y{{x}^{2}}{{z}^{3}}-2{{x}^{5}}{{y}^{4}}{{z}^{3}}\] done clear
  C)
   \[5{{x}^{2}}{{y}^{4}}{{z}^{3}}-\text{ }14y{{x}^{2}}{{z}^{3}}-8{{x}^{3}}{{y}^{5}}{{z}^{4}}\] done clear
  D)
   \[11{{x}^{2}}{{y}^{4}}{{z}^{3}}-14y{{x}^{2}}{{z}^{3}}-8{{z}^{3}}{{x}^{5}}{{y}^{4}}\] done clear
  E)
   None of these done clear
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• question_answer21)
  Simplify: \[-\text{ }\mathbf{P}\text{ }-\text{ }[\mathbf{P}\text{ }+\text{ }\left\{ \mathbf{2p}\text{ }+\text{ }\mathbf{q}\text{ }-\text{ }\mathbf{2p}\text{ }-\text{ }\left( \mathbf{p}\text{ }-\text{ }\mathbf{3q} \right) \right\}\] \[-\text{ }\mathbf{3q}]\]
  A)
  -p+q done clear
  B)
   p + q done clear
  C)
   p - q done clear
  D)
   - p - q done clear
  E)
   None of these done clear
  View Solution play_arrow

• question_answer22)
  Solve: \[\mathbf{2p}+\mathbf{3pq}+\mathbf{7}{{\mathbf{p}}^{\mathbf{2}}}\mathbf{q}-\mathbf{3}[\left( \mathbf{2pq}+\mathbf{3p} \right)-\{\mathbf{6}-(\mathbf{p}-\]\[\mathbf{3pq})+\left( \mathbf{2}{{\mathbf{p}}^{\mathbf{2}}}\mathbf{q}-\mathbf{3p}+\mathbf{5} \right)\}]\]
  A)
  \[19p\text{ }+\text{ }8pq\text{ }+\text{ }13{{p}^{2}}q\text{ }-\text{ }33\] done clear
  B)
   \[19p\text{ }+\text{ }8pq\text{ }-\text{ }33\text{ }+\text{ }19{{p}^{2}}q\] done clear
  C)
   \[-19p+6pq+13{{p}^{2}}q+33\] done clear
  D)
   \[-19p-6pq+13{{p}^{2}}q+33\] done clear
  E)
   None of these done clear
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• question_answer23)

  After simplification. Find the value of the following algebraic expression at m = -3, n = 2 and r = -1.

  \[\mathbf{3}\left( {{\mathbf{m}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{n}}^{\mathbf{2}}}\mathbf{-3 mnr+}{{\mathbf{r}}^{\mathbf{2}}} \right)\mathbf{-[5}\left( \mathbf{2}{{\mathbf{m}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{n}}^{\mathbf{2}}}\mathbf{-2mn} \right)\mathbf{-\{-}\] \[{{\mathbf{r}}^{\mathbf{3}}}+\mathbf{3}\left( \mathbf{m}-\mathbf{2} \right)\text{ }+\text{ }\mathbf{8m}{{\mathbf{n}}^{\mathbf{2}}}\}]\]

  A)
  638   done clear
  B)
   -732 done clear
  C)
  -638      done clear
  D)
   732 done clear
  E)
               None of these done clear
  View Solution play_arrow

• question_answer24)
  Which one among the following statements is not correct?
  A)
  Equation \[3x\text{ }+\text{ }2\text{ }=\text{ }8\] is true for only one value of x. done clear
  B)
   Equation \[3y\text{ }=\text{ }0\] is true for any value of y. done clear
  C)
   For x = -3, the equation can be formed as \[3x\text{ }+\text{ }2\text{ }=\text{ }7\] done clear
  D)
   For y =-1, the equation can be formed as \[2y+2\text{ }=\text{ }0\] done clear
  E)
  None of these done clear
  View Solution play_arrow

• question_answer25)
  19 added to thrice a number is same as 8 more than 4 times the number. What is the number?
  A)
  17 done clear
  B)
   28 done clear
  C)
  11 done clear
  D)
   19 done clear
  E)
  None of these done clear
  View Solution play_arrow

• question_answer26)
  If\[\mathbf{a}\text{ }=\text{ }\mathbf{b}\], then which one among the following cannot be true?
  A)
  \[a+c=b+c\] done clear
  B)
  \[2a+c-d=2b+c-d\] done clear
  C)
   \[a+2b=2a+b\] done clear
  D)
   \[a\text{ }+\text{ }2b\text{ }+\text{ }3c\text{ }=\text{ }3c-a\text{ }+\text{ }2b\] done clear
  E)
   None of these done clear
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• question_answer27)
  If \[\mathbf{K}\text{ }+\text{ }\mathbf{13}\text{ }=\text{ }\mathbf{2K}\text{ }-\text{ }\mathbf{13}\], then find the value of \[\frac{\mathbf{7K-130}}{\mathbf{5K+125}}\]
  A)
  \[\frac{52}{255}\] done clear
  B)
   \[\frac{65}{158}\] done clear
  C)
  \[\frac{37}{139}\] done clear
  D)
   \[\frac{49}{188}\] done clear
  E)
  None of these done clear
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• question_answer28)
  Which one of the following statements is incorrect?
  A)
  Shifting one term from one side of an equation to another side with a change of sign is called transposition. done clear
  B)
   An equation, in which the highest index of the variables present is one, is called a linear equation. done clear
  C)
   lf x > 0,then - x < 0 done clear
  D)
   lf x > y ,then - x < y done clear
  E)
   None of these done clear
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• question_answer29)
  Two third of a number is 68 less than four-fifth of the number. Find the number.
  A)
  720       done clear
  B)
   618 done clear
  C)
   510      done clear
  D)
   490 done clear
  E)
   None of these done clear
  View Solution play_arrow

• question_answer30)
  One-fourth of a number is subtracted from three-fifth of the number, the result is 910. Find the four-thirteenth of the number.
  A)
  600  done clear
  B)
   700 done clear
  C)
              800 done clear
  D)
   900 done clear
  E)
   None of these done clear
  View Solution play_arrow

• question_answer31)
  The present age of Rahul is thrice that of Shivam. Eight years from now, Rahul's age will be one more than twice the age of Shivam. Find the age of Rahul before 8 years from the present.
  A)
  20 years done clear
  B)
   26 years done clear
  C)
   19 years  done clear
  D)
   17 years done clear
  E)
  None of these done clear
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• question_answer32)
  The sum of the present ages of Ravi and Kishan is 69 years. If 8 years ago, Ravi's age was four years less than double the age of Kishan. Find the difference between their present ages (in years).
  A)
  20  done clear
  B)
   15 done clear
  C)
   18 done clear
  D)
   17 done clear
  E)
   None of these done clear
  View Solution play_arrow

• question_answer33)
  Which one of the following is a solution of\[\frac{\mathbf{3x-7}}{\mathbf{3}}\mathbf{>}\frac{\mathbf{4x+2}}{\mathbf{5}}\]?
  A)
  \[x>\frac{22}{3}\] done clear
  B)
   \[x<\frac{22}{3}\] done clear
  C)
   \[x>\frac{41}{3}\] done clear
  D)
   \[x<\frac{41}{3}\] done clear
  E)
   None of these done clear
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• question_answer34)
  A cow grazed a circular park of \[\frac{\mathbf{2}}{\mathbf{5}}\mathbf{th}\] of the areas was wet, \[\frac{\mathbf{7}}{\mathbf{15}}\mathbf{th}\] of the area was dry and \[\frac{\mathbf{1}}{\mathbf{21}}\mathbf{st}\] was green. If the remaining area of \[18{{m}^{2}}\] was dug then find the area of the park, which was dry?
  A)
  \[98\text{ }{{m}^{2~}}\] done clear
  B)
  \[~119\text{ }{{m}^{2}}\] done clear
  C)
  \[147\text{ }{{m}^{2}}\] done clear
  D)
  \[~84\text{ }{{m}^{2}}\] done clear
  E)
   None of these done clear
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• question_answer35)
  In a two digit number, the units digit is 4 more than the ten's digit. The original number is 7 less than 8 times the sum of digits. Find the three times of the number.
  A)
  216       done clear
  B)
   111 done clear
  C)
  219  done clear
  D)
   222 done clear
  E)
   None of these done clear
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• question_answer36)
  The difference of the digits of two digit number is 6. The sum of the digit cannot be _________.
  A)
  12 done clear
  B)
   8 done clear
  C)
   6 done clear
  D)
   9 done clear
  E)
   None of these done clear
  View Solution play_arrow

• question_answer37)
  In an isosceles triangle, the difference between one of the equal sides and the unequal side (longest of the three) is \[\frac{\mathbf{1}}{\mathbf{9}}\mathbf{th}\] of the sum of the equal side and unequal side. If it is given that the perimeter of the triangle f 112 cm, then what will be the length (in cm) of unequal side?
  A)
  50 done clear
  B)
   55 done clear
  C)
   40 done clear
  D)
   45 done clear
  E)
   None of these done clear
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• question_answer38)
  A sum of  Rs. 9510 is made up of 50, 20, 10 and 5 rupee notes. The number of 10 rupee notes is \[\frac{\mathbf{21}}{\mathbf{31}}\] of the number of 50 rupee notes, \[\frac{\mathbf{42}}{\mathbf{37}}\] of the number of 5 rupee notes and \[\frac{\mathbf{4}}{\mathbf{5}}\] of the number of 20 rupee notes. Find the sum of the number of notes of each denomination.
  A)
  387 done clear
  B)
   284 done clear
  C)
   365      done clear
  D)
   390 done clear
  E)
  None of these done clear
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• question_answer39)
  A boy says "I am thinking of a number, when I divide it by 9 and then 1 subtract 17 from it, my answer is \[\frac{\mathbf{1}}{\mathbf{12}}\] of the number I thought. "Find the number.
  A)
  513 done clear
  B)
   414 done clear
  C)
   612 done clear
  D)
   810 done clear
  E)
   None of these done clear
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• question_answer40)
  Solve: \[\frac{\mathbf{3}}{\mathbf{7}}\left( \frac{\mathbf{8x}}{\mathbf{13}}\mathbf{-}\frac{\mathbf{1}}{\mathbf{3}} \right)\mathbf{-}\left( \mathbf{3x+}\frac{\mathbf{2-x}}{\mathbf{7}} \right)\mathbf{=}\left( \mathbf{x+}\frac{\mathbf{3}}{\mathbf{5}} \right)\mathbf{\div }\frac{\mathbf{2}}{\mathbf{7}}\]
  A)
  \[\frac{-2301}{5545}\] done clear
  B)
   \[\frac{-2701}{3545}\] done clear
  C)
   \[\frac{-2923}{3744}\] done clear
  D)
   13 done clear
  E)
   None of these done clear
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