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List of top Quantitative Ability Questions on Calculus

If \(F\) is a differentiable function such that \(F(3) = 6\) and \(F(9) = 2\), then there must exist at least one number 'a' between 3 and 9, such that:
  • XAT - 2005
  • XAT
  • Quantitative Ability
  • Calculus
A conical tent of given capacity has to be constructed. The ratio of the height to the radius of the base for the minimum amount of canvas required for the tent is:
  • XAT - 2005
  • XAT
  • Quantitative Ability
  • Calculus
If \(f(x) = \cos(x)\) then the 50th derivative of \(f(x)\) is:
  • XAT - 2005
  • XAT
  • Quantitative Ability
  • Calculus