6th Class Mental Ability Algebra Question Bank

done Algebra Total Questions - 10

• question_answer1)
  Simplify the following, \[\mathbf{6}{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{4x}\div \mathbf{x}.\]
  A)
  \[6x-4\] done clear
  B)
                     \[6x+4\] done clear
  C)
  \[4+6x\]                done clear
  D)
         All of these done clear
  E)
  None of- these   done clear
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• question_answer2)
  If \[\left( \mathbf{4x}+\mathbf{5} \right):\left( \mathbf{3x}+\mathbf{11} \right)=\mathbf{13}:17,\] find the value of x,
  A)
  \[x=4\]             done clear
  B)
         \[x=6\] done clear
  C)
  \[x=2\]    done clear
  D)
         \[x=1\] done clear
  E)
  None of these    done clear
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• question_answer3)
  Find the expression which has degree 35?
  A)
  \[{{x}^{65}}-7{{x}^{35}}-58\]   done clear
  B)
        \[44{{x}^{30}}+7{{x}^{35}}-0\] done clear
  C)
  \[4{{x}^{55}}-47{{x}^{20}}-40\]       done clear
  D)
  All of these done clear
  E)
  None of these   done clear
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• question_answer4)
  If two numbers are in the ratio 5 : 7 and if 3 is subtracted from each of them, the ratio  becomes 2 :3. Find the numbers.
  A)
  15 and 20           done clear
  B)
         15 and 21 done clear
  C)
  15 and 23           done clear
  D)
         14 and 21 done clear
  E)
  None of these    done clear
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• question_answer5)
       If \[\mathbf{4}{{\mathbf{x}}^{\mathbf{84}}}\mathbf{-7}{{\mathbf{x}}^{\mathbf{42}}}\mathbf{-4}{{\mathbf{x}}^{\mathbf{70}}}\mathbf{-7}{{\mathbf{x}}^{\mathbf{35}}}\mathbf{=200}\] is divided by \[{{\mathbf{x}}^{\mathbf{14}}}\mathbf{-14}\]. Which one of the following is the first term of the question? 
  A)
  \[-4{{x}^{70}}\]            done clear
  B)
         \[-4{{x}^{60}}\] done clear
  C)
  \[4{{x}^{70}}\]   done clear
  D)
         All of these done clear
  E)
  None of these  done clear
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• question_answer6)
  Subtract the following: \[{{\mathbf{x}}^{\mathbf{3}}}-\mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{5x}+\mathbf{4}\]from \[\mathbf{3}{{\mathbf{x}}^{\mathbf{3}}}-{{\mathbf{x}}^{\mathbf{2}}}+\mathbf{2x}-\mathbf{4}.\]
  A)
  \[2{{x}^{3}}+2{{x}^{2}}+7x-8\]      done clear
  B)
  \[-2{{x}^{5}}-7x+8\] done clear
  C)
  \[2{{x}^{3}}-2{{x}^{2}}-4x-8\]          done clear
  D)
  All of these done clear
  E)
  None of these done clear
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• question_answer7)
  Find the product of \[\left( \mathbf{2x}+\mathbf{4y} \right)\left( \mathbf{3x}-\mathbf{2y} \right),\]
  A)
  \[6{{x}^{2}}+8xy-8{{y}^{2}}\] done clear
  B)
         \[{{x}^{2}}-8xy-8{{y}^{2}}\] done clear
  C)
  \[8{{x}^{2}}-xy-8{{y}^{2}}\]    done clear
  D)
         All of these done clear
  E)
  None of these done clear
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• question_answer8)
  A quadratic polynomial is divided by a linear polynomial, find the degree of the resulting quotient of the division.
  A)
  1     done clear
  B)
         2 done clear
  C)
  3                         done clear
  D)
         All of these done clear
  E)
  None of these done clear
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• question_answer9)
  The coefficient of \[{{x}^{2}}{{y}^{6}}\] in the term \[-{{x}^{2}}{{y}^{6}}\] is which of the following?
  A)
  0                      done clear
  B)
  \[-1\] done clear
  C)
  1                      done clear
  D)
         All of these done clear
  E)
  None of these done clear
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• question_answer10)
  The product of the polynomials, \[\mathbf{(3}{{\mathbf{u}}^{\mathbf{2}}}\mathbf{v-5u}{{\mathbf{v}}^{\mathbf{2}}}\mathbf{)}\] and \[\left( \frac{\mathbf{1}}{\mathbf{5}}{{\mathbf{u}}^{\mathbf{2}}}\mathbf{+}\frac{\mathbf{1}}{\mathbf{5}}{{\mathbf{v}}^{\mathbf{2}}} \right)\] is:
  A)
  \[\frac{3}{5}{{u}^{4}}v-{{u}^{3}}{{v}^{2}}-u{{v}^{4}}+\frac{3}{5}{{u}^{2}}{{v}^{3}}\] done clear
  B)
  \[\frac{{{u}^{4}}v}{5}-2u{{v}^{2}}+{{u}^{2}}{{v}^{3}}-\frac{5u{{v}^{4}}}{3}\] done clear
  C)
  \[\frac{3{{u}^{4}}v}{5}-{{u}^{3}}{{v}^{2}}+{{u}^{2}}{{v}^{3}}-5u{{v}^{4}}\] done clear
  D)
  All of these done clear
  E)
  None of these done clear
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