Neco 2025 Further Mathematics Question 47

Practice objective / multiple choice question 47 from the 2025 Neco Further Mathematics examination.

Neco 2025 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 47 NECO • 2025 • FURTHER_MATHEMATICS • objective

Let \(A = \begin{pmatrix}1 & 2\\ 3 & 4\end{pmatrix}\) and \(B = \begin{pmatrix}p & q\\ r & s\end{pmatrix}\) be matrices with positive integer entries. It is given that \(\det(B)=6\) and \(\det(A+B)=\det(A)+\det(B)\). Find the value of \(p+q+r+s\).

Answer Options

Correct Answer A. 18
B. 24
C. 20
D. 16
Correct Answer
A
Correct Option:
18

About This Question

This is Neco 2025 Further Mathematics Question 47. It is one of the objective questions from the 2025 Neco Further Mathematics examination.

Difficulty level: Medium .

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