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  • Q2851
    NDA Maths strategy

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    [Q1 · Sep · 2022]
  • Q2852
    Lever: Pascal / binomial-coefficient identities

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    [Q2 · Sep · 2022]
  • Q2853
    NDA Maths strategy

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    [Q3 · Sep · 2022]
  • Set · 1 question
    Consider the following statements: 1. If f is the subset of Z × Z defined by f = {(xy, x−y); x, y ∈ Z}, then f is a function from Z to Z. 2. If f is the subset of N × N defined by f = {(xy, x+y); x, y ∈ N}, then f is a function from N to N.
    • Q2854
      NDA Maths strategyConcept: One-one, onto, and bijective

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      [Q4 · Sep · 2022]
  • Q2855
    NDA Maths strategyConcept: Adjoint power formulas

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    [Q5 · Sep · 2022]
  • Set · 1 question
    Consider the following for the next three (03) items that follow: If A=(1000cos⁡θsin⁡θ0sin⁡θ−cos⁡θ)A = \begin{pmatrix} 1 & 0 & 0 \\ 0 & \cos\theta & \sin\theta \\ 0 & \sin\theta & -\cos\theta \end{pmatrix}A=​100​0cosθsinθ​0sinθ−cosθ​​, which of the following are correct? 1. A+adjAA + adjAA+adjA is a null matrix 2. A−1+adjAA^{-1} + adjAA−1+adjA is a null matrix 3. A−A−1A - A^{-1}A−A−1 is a null matrix
    • Q2856
      NDA Maths strategyConcept: Adjoint power formulas

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      [Q6 · Sep · 2022]
  • Q2857
    NDA Maths strategyConcept: Matrix multiplication and conformability

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    [Q7 · Sep · 2022]
  • Q2858
    Lever: Vieta — sum and product of roots

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    [Q8 · Sep · 2022]
  • Set · 1 question
    Consider the following statements: 1. The set of all irrational numbers between √2 and √5 is an infinite set. 2. The set of all odd integers less than 100 is a finite set.
    • Q2859
      NDA Maths strategy

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      [Q9 · Sep · 2022]
  • Set · 1 question
    Consider the following statements: 1. 2 + 4 + 6 + … + 2n = n² + n 2. The expression n² + n + 41 always gives a prime number for every natural number n
    • Q2860
      NDA Maths strategyConcept: Telescoping sums, repunits, and divisibility patterns

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      [Q10 · Sep · 2022]
  • Q2861
    Lever: Vieta — sum and product of roots

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    [Q11 · Sep · 2022]
  • Q2862
    NDA Maths strategy

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    [Q12 · Sep · 2022]
  • Q2863
    NDA Maths strategyConcept: Finding the range

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    [Q13 · Sep · 2022]
  • Set · 1 question
    Consider the following for the next three (03) items that follow: Let R be a relation from N to N defined by R={(x,y):x,y∈N and x2=y3}R = \{(x, y): x, y \in N \text{ and } x^2 = y^3\}R={(x,y):x,y∈N and x2=y3}. Which of the following are NOT correct? 1. (x,x)∈R(x,x) \in R(x,x)∈R for all x∈Nx \in Nx∈N 2. (x,y)∈R⇒(y,x)∈R(x,y) \in R \Rightarrow (y,x) \in R(x,y)∈R⇒(y,x)∈R 3. (x,y)∈R(x,y) \in R(x,y)∈R and (y,z)∈R⇒(x,z)∈R(y,z) \in R \Rightarrow (x,z) \in R(y,z)∈R⇒(x,z)∈R
    • Q2864
      NDA Maths strategy

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      [Q14 · Sep · 2022]
  • Set · 1 question
    Consider the following: 1. A∩B = A∩C ⟹ B = C 2. A∪B = A∪C ⟹ B = C
    • Q2865
      NDA Maths strategy

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      [Q15 · Sep · 2022]
  • Set · 3 questions
    Consider the following for the next three (03) items that follow: Let z=1+isin⁡θ1−isin⁡θz = \frac{1+i\sin\theta}{1-i\sin\theta}z=1−isinθ1+isinθ​ where i=−1i = \sqrt{-1}i=−1​
    • Q2866
      NDA Maths strategy

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      [Q16 · Sep · 2022]
    • Q2867
      NDA Maths strategy

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      [Q17 · Sep · 2022]
    • Q2868
      NDA Maths strategy

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      [Q18 · Sep · 2022]
  • Set · 3 questions
    Consider the following for the next three (03) items that follow: Let P be the sum of first n positive terms of an increasing arithmetic progression A. Let Q be the sum of first n positive terms of another increasing arithmetic progression B. Let P : Q = (5n+4) : (9n+6)
    • Q2869
      NDA Maths strategyConcept: Ratio of sums and ratio of terms

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      [Q19 · Sep · 2022]
    • Q2870
      NDA Maths strategyConcept: Ratio of sums and ratio of terms

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      [Q20 · Sep · 2022]
    • Q2871
      NDA Maths strategyConcept: Ratio of sums and ratio of terms

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      [Q21 · Sep · 2022]
  • Set · 3 questions
    Consider the following for the next three (03) items that follow: Consider the binomial expansion of (p+qx)9(p + qx)^9(p+qx)9:
    • Q2872
      Lever: Pascal / binomial-coefficient identities

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      [Q22 · Sep · 2022]
    • Q2873
      Lever: Pascal / binomial-coefficient identities

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      [Q23 · Sep · 2022]
    • Q2874
      Lever: Pascal / binomial-coefficient identities

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      [Q24 · Sep · 2022]
  • Set · 1 question
    Consider the following for the next three (03) items that follow: Consider the word 'QUESTION':
    • Q2875
      NDA Maths strategy

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      [Q25 · Sep · 2022]
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