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  • Set · 1 question
    For the next two (02) items that follow: Let S and T be the sets where f(x)=x33−5x22+6x+7f(x)=\frac{x^3}{3}-\frac{5x^2}{2}+6x+7f(x)=3x3​−25x2​+6x+7 decreases and increases respectively.
    • Q4076
      NDA Maths strategy

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      [Q86 · Apr · 2026]
  • Set · 2 questions
    For the next two (02) items that follow: Let k be the area between the curve y=sinx and x-axis in the interval [0,π/4][0,\pi/4][0,π/4].
    • Q4077
      NDA Maths strategy

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      [Q87 · Apr · 2026]
    • Q4078
      NDA Maths strategy

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      [Q88 · Apr · 2026]
  • Set · 2 questions
    For the next two (02) items that follow: Consider the curves y=x^2 and y=2|x|.
    • Q4079
      NDA Maths strategy

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      [Q89 · Apr · 2026]
    • Q4080
      NDA Maths strategy

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      [Q90 · Apr · 2026]
  • Set · 2 questions
    For the next two (02) items that follow: Let ∫sin⁡θ dθ(2+cos⁡θ)(3+4cos⁡θ)=Aln⁡∣2+cos⁡θ∣+Bln⁡∣3+4cos⁡θ∣\int\dfrac{\sin\theta\,d\theta}{(2+\cos\theta)(3+4\cos\theta)}=A\ln|2+\cos\theta|+B\ln|3+4\cos\theta|∫(2+cosθ)(3+4cosθ)sinθdθ​=Aln∣2+cosθ∣+Bln∣3+4cosθ∣.
    • Q4081
      NDA Maths strategyConcept: Substitute First, Then Decompose

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      [Q91 · Apr · 2026]
    • Q4082
      NDA Maths strategyConcept: Substitute First, Then Decompose

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      [Q92 · Apr · 2026]
  • Set · 2 questions
    For the next two (02) items that follow: Let f(x)=sin⁡xf(x)=\sin xf(x)=sinx and g(x)−f(x)=f(4−x)g(x)-f(x)=f(4-x)g(x)−f(x)=f(4−x).
    • Q4083
      NDA Maths strategy

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      [Q93 · Apr · 2026]
    • Q4084
      NDA Maths strategy

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      [Q94 · Apr · 2026]
  • Set · 2 questions
    For the next two (02) items that follow: Let f(x)={ax(x−1),x<1x−1,1≤x≤3px2+qx+2,x>3f(x)=\begin{cases}ax(x-1), & x<1\\ x-1, & 1\leq x\leq3\\ px^2+qx+2, & x>3\end{cases}f(x)=⎩⎨⎧​ax(x−1),x−1,px2+qx+2,​x<11≤x≤3x>3​. Given that f(x)f(x)f(x) is continuous for all x but not differentiable at x=1. Further f′(x)f'(x)f′(x) is continuous at x=3.
    • Q4085
      Lever: Differentiability at a point

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      [Q95 · Apr · 2026]
    • Q4086
      Lever: Differentiability at a point

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      [Q96 · Apr · 2026]
  • Set · 2 questions
    For the next two (02) items that follow: Consider the differential equation ex+ydydx=ex−ye^{x+y}\dfrac{dy}{dx}=e^{x-y}ex+ydxdy​=ex−y.
    • Q4087
      NDA Maths strategy

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      [Q97 · Apr · 2026]
    • Q4088
      NDA Maths strategy

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      [Q98 · Apr · 2026]
  • Set · 2 questions
    For the next two (02) items that follow: Let f(x)=tan⁡(x2)f(x)=\tan(x^2)f(x)=tan(x2) and g(x)=x∣x∣g(x)=x|x|g(x)=x∣x∣ for ∣x∣<π/2|x|<\sqrt{\pi/2}∣x∣<π/2​.
    • Q4089
      Lever: Differentiability at a point

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      [Q99 · Apr · 2026]
    • Q4090
      Lever: Differentiability at a point

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      [Q100 · Apr · 2026]
  • Set · 5 questions
    For the next five (05) items that follow: A 4-digit number is selected at random formed by using the digits 0, 1, 2, 3 and 4 (where repetition of digits is not allowed).
    • Q4091
      NDA Maths strategyConcept: Probability with arrangements

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      [Q101 · Apr · 2026]
    • Q4092
      NDA Maths strategyConcept: Probability with arrangements

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      [Q102 · Apr · 2026]
    • Q4093
      NDA Maths strategyConcept: Probability with arrangements

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      [Q103 · Apr · 2026]
    • Q4094
      NDA Maths strategyConcept: Probability with arrangements

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      [Q104 · Apr · 2026]
    • Q4095
      NDA Maths strategyConcept: Probability with arrangements

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      [Q105 · Apr · 2026]
  • Set · 3 questions
    For the next three (03) items that follow: Let A, B, C and D be mutually exclusive and exhaustive events and P(A)2=P(B)3=P(C)5=P(D)8\dfrac{P(A)}{2}=\dfrac{P(B)}{3}=\dfrac{P(C)}{5}=\dfrac{P(D)}{8}2P(A)​=3P(B)​=5P(C)​=8P(D)​.
    • Q4096
      Lever: Inclusion-Exclusion (sets + probability)Concept: Exhaustive events (and probabilities that sum to 1)

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      [Q106 · Apr · 2026]
    • Q4097
      Lever: Inclusion-Exclusion (sets + probability)Concept: Exhaustive events (and probabilities that sum to 1)

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      [Q107 · Apr · 2026]
    • Q4098
      NDA Maths strategyConcept: Exhaustive events (and probabilities that sum to 1)

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      [Q108 · Apr · 2026]
  • Set · 1 question
    For the next two (02) items that follow: Four dice are rolled.
    • Q4099
      NDA Maths strategyConcept: Probability with dice

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      [Q109 · Apr · 2026]
  • Q4100
    NDA Maths strategyConcept: Probability with dice

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    [Q110 · Apr · 2026]
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