NDA Mathematics 4 September 2022 | NDA Year Wise Previous Years Questions

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NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let Δ be the determinant of a matrix A, where A = $\left[\begin{array}{lll}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{array}\right]$ and C11, C12, C13 be the cofactors of a11, a12, a13 respectively.

What is the value of $\left|\begin{array}{lll}\text{a}_{21} & \text{a}_{31} & \text{a}_{11} \\ \text{a}_{23} & \text{a}_{33} & \text{a}_{13} \\ \text{a}_{22} & \text{a}_{32} & \text{a}_{12}\end{array}\right|$ ?

−Δ

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let f(x) be a function satisfying f(x + y) = f(x) f(y) for all x, y ∈ N such that f(1) = 2 :

If $\displaystyle\sum_{x=2}^n$f(x) = 2044, then what is the value of n ?

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let f(x) be a function satisfying f(x + y) = f(x) f(y) for all x, y ∈ N such that f(1) = 2 :

What is $\displaystyle\sum_{x=1}^5$f(2x − 1) equal to ?

341

682

1023

1364

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let f(x) be a function satisfying f(x + y) = f(x) f(y) for all x, y ∈ N such that f(1) = 2 :

What is $\displaystyle\sum_{x=1}^6$2^x f(x) equal to ?

1365

2730

4024

5460

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