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 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

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

A university awarded medals in basketball, football, and volleyball. Only x students (x < 6) got medal in all the three sports and the medals went to a total of 15x students. It awarded 5x medals in basketball, (4x + 15) medals in football and (x + 25) medals in volleyball.

How many received medals in exactly two of the three sports ?

30 − 4x

35 − 7x

40 − 7x

45 − 5x

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