If 4x − 4 = 112, what is the positive value of x − 1 ?
Correct answer: B. 28
- A. 18
- B. 28
- C. 38
- D. 40
Explanation
The correct answer is 28. The given absolute value equation can be rewritten as two linear equations: 4x - 4 = 112 and -(4x - 4) = 112 or 4x - 4 = -112. Adding 4 to both sides of the equation 4x - 4 = 112 results in 4x = 116. Dividing both sides of this equation by 4 results in x =29. Adding 4 to both sides of the equation 4x - 4 = -112 results in 4 = - 108. Dividing both sides of this equation by 4 results in x =-27. Therefore, the two values of x - 1 are 29 - 1,or 28, and - 27 - 1, or - 28. Thus, the positive value of x -1 is 28.Alternate approach: The given equation can be rewritten as |4 (x - 1)| = 112, which is equivalent to 4|x - 1|= 112 . Dividing both sides of this equation by 4 yields x - 1= 28. This equation can be rewritten as two linear equations: x - 1= 28 and - x - 1 = 28, or x - 1= - 28. Therefore, the positive value of x -1 is 28.
Last updated
About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
Practise Quantitative Reasoning
505 free Quantitative Reasoning MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Analytical and Logical Reasoning questions like this
Analytical and Logical Reasoning is on 24 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
State whether a ∈ C, if {a} ⊂ A: i: A ⊆ B ii: B ⊆ C
If 2m=4x and 2w = 8x, what is m in terms of w?
The sum of the Series will be i) Tn = 7n -5 ii) 𝑑 = −5 iii) 𝑎 = 2 iv) 𝑛 = 16 Which two statements are sufficient to solve the given question?
If Lines AB||CD, then e = ?
Find the number of degrees in angle B?I. AC < BCII. Angle BCD = 100°III. Angle A + Angle B + Angle C = 180°IV. AB = BCV. ABC is an isosceles triangle Which two statements are sufficient to answer the question?