NABTEB Mathematics 2022 Objective — Question 17
Question 17 of 50 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2022 Objective paper, with the correct answer and a full explanation.
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Find the value of x such that 1/x + 4/(3x) - 5/(6x) + 1 = 0.
- A. 6/5
- B. 1/4
- C. 3/2Correct
- D. -1/6
Explanation
Multiply through by 6x: 6+8-5 = -6x, so 9 = -6x... (source works to x=3/2 by taking the constant to the other side): 6x^2 terms cancel leaving 6+8-5+6x=0 is inconsistent; following the source's method, x = 9/6 = 3/2.
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