JEE Main & Advanced Mathematics Equations and Inequalities Question Bank

done Numerical Value Type Questions - Linear Inequalities Total Questions - 15

• question_answer1)
  Number of integral solution of \[2x-1=|x+7|\] is
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• question_answer2)
  The total number of pairs of consecutive odd natural numbers both of which are larger than 10, such that their sum is less than 40, is
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• question_answer3)
  Number of integral solution satisfying \[x+\sqrt{3-x}\ge \sqrt{3-x}+3\] is
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• question_answer4)
  If \[{{(\sqrt{2})}^{x}}+{{(\sqrt{3})}^{x}}={{(\sqrt{13})}^{x/2}},\] then the number of values of x is
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• question_answer5)
  If \[x=2+{{2}^{2/3}}+{{2}^{1/3}},\] then \[{{x}^{3}}-6{{x}^{2}}+6x=\]
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• question_answer6)
  The solution of the equation \[{{\log }_{7}}({{\log }_{5}}(\sqrt{x+5}+\sqrt{x}))=0\] is x =
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• question_answer7)
  If \[5\{x\}=x+[x]\] and \[[x]-\{x\}=\frac{1}{2}\] when \[\{x\}\] and \[[x]\] are fractional and integral part of x then x is
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• question_answer8)
  The number of solutions of the equation \[{{4}^{x}}-{{3}^{x-\frac{1}{2}}}={{3}^{x+\frac{1}{2}}}-{{2}^{2x-1}},\,\,\,x\in R\] is
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• question_answer9)
  Solve for x, \[\frac{\left| x+3 \right|+x}{x+2}>1\] and then find modulus of smallest integral member of the interval.
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• question_answer10)
  The longest side of a triangle is 4 times the shortest side and the third side is 3 cm shorter than the longest side. If the perimeter of a triangle is at least 87 cm, then the minimum length of the shortest side is
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• question_answer11)
  Ravi obtained 70 and 75 marks in first two unit tests. Then, the minimum marks he should get in the third test to have an average of at least 60 marks, are
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• question_answer12)
  The total number of integral value of x satisfying the equation \[{{x}^{{{\log }_{3}}{{x}^{2}}+{{({{\log }_{3}}x)}^{2}}-10}}=1/{{x}^{2}}\] is
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• question_answer13)
  The number of integers satisfying the equation \[|x|+\left| \frac{4-{{x}^{2}}}{x} \right|\,\,=\,\,\left| x+\frac{4-{{x}^{2}}}{x} \right|\] is
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• question_answer14)
  If a, b, c are distinct \[+ve\]real numbers and \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=1\] then \[ab+bc+ca\] is less than
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• question_answer15)
  The number of integral values which are not the solution of \[\left| x+\frac{1}{x} \right|>2\] is
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