NDA_Math_2025_Q66

Question:

What is f(1) s f(4) equal to?

What is f(1) s f(4) equal to?

Options:

  • a) 4
  • b) 8
  • c) 9
  • d) 18 Direction for Questions (67-68): Consider the following for the two (02) items that follow: A function f is such that f(xy) = f(x + y) for all real values of x and y and f(5) = 10
  • a) 4
  • b) 8
  • c) 9
  • d) 18 Direction for Questions (67-68): Consider the following for the two (02) items that follow: A function f is such that f(xy) = f(x + y) for all real values of x and y and f(5) = 10

correct answer : c)

Explanation:

f
f
()
()
4
2
= f(2)

Þ f(4) = 3 × 3 = 9

f
f
()
()
2
2
= f(1)

Þ f(1) = 1
Now, f(1) f(4) = 1 × 9 = 9

f
f
()
()
4
2
= f(2)

Þ f(4) = 3 × 3 = 9

f
f
()
()
2
2
= f(1)

Þ f(1) = 1
Now, f(1) f(4) = 1 × 9 = 9

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