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Question

Consider the following for the two items that follow:

The function f(x) satisfies f(x + y) = f(x) + f(y) for all positive real values of x and y, and f(2) = 3.

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

This question was previously asked in
NDA 2 2025 GAT Question Paper (14-Sep-2025)
The correct answer is

8

Given that f(x) = 3x, we have f(1) = 3 and f(4) = 12. Thus, f(1) * f(4) = 3 * 12 = 36.

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Important Questions from Sequence & Series

  1. Which of the following options should come in place of the question mark (?) in the given series based on the English alphabetical order?

    SHK, WLO, APS, ETW,?

  2. Which of the following options should come in place of the question mark (?) in the given series based on the English alphabetical order?

    EGI, KMO, QSU, WYA,?

  3. Which of the following options should come in place of the question mark (?) in the given series?

    14 15 18 23 30?

  4. Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

  5. What should come in place of the question mark (?) in the given series based on the English alphabetical order?


    TAW VCY XEA ZGC ?

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