1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
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 ?

A
8
B
9
C
10
D
11
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
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 ?

A
341
B
682
C
1023
D
1364
3
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
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$2x f(x) equal to ?

A
1365
B
2730
C
4024
D
5460
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
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 ?

A
30 − 4x
B
35 − 7x
C
40 − 7x
D
45 − 5x
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