TestUstad
Asked in Maths and Science Reasoning Mock

If 2m=4x and 2w = 8x, what is m in terms of w?

Correct answer: A. w - 1

  • A. w - 1
  • B. w + 1
  • C. 2w - 1
  • D. 2w + 1

Explanation

To determine m in terms of w, we first rewrite the equations with the same base.Given: 2^m = 4x 2^w = 8xConvert 4x and 8x into powers of 2: 4x = 2^2 * x 8x = 2^3 * xDivide the two equations: (2^m) / (2^w) = (4x) / (8x)Simplify the right side: (4x) / (8x) = 1/2So: 2^(m - w) = 1/2Write 1/2 as a power of 2: 1/2 = 2^(-1)Thus: m - w = -1Therefore: m = w - 1Other options (w + 1, 2w - 1, and 2w + 1) suggest incorrect relationships as they imply different mathematical connections between m and w based on the original equations.

Written and checked by , MS Computer ScienceLast updated
Report an error

The more specific you are, the faster it gets fixed. A source beats an opinion.

Prefer email? support@testustad.com

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

625 free Quantitative Reasoning MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.

Start a free Quantitative Reasoning testAll Quantitative Reasoning MCQs

Discussion

Stuck on an option, or know a faster way to get there? Ask or explain it here.

No comments yet. Be the first to explain this one.

Exams that ask Analytical and Logical Reasoning questions like this

Analytical and Logical Reasoning is on 27 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.

CA QAT Analytical and Logical Reasoning30 MCQsCSS MPT Analytical and Logical Reasoning30 MCQsGAT General Analytical and Logical Reasoning30 MCQsBCAT Analytical and Logical Reasoning25 MCQsISSB Analytical and Logical Reasoning25 MCQsATS Analytical and Logical Reasoning20 MCQsCTS Analytical and Logical Reasoning20 MCQsETEA Recruitment Tests Analytical and Logical Reasoning20 MCQsNAT Analytical and Logical Reasoning20 MCQsNTS Analytical and Logical Reasoning20 MCQsOTS Analytical and Logical Reasoning20 MCQsPTS Analytical and Logical Reasoning20 MCQsSTS Analytical and Logical Reasoning20 MCQsUTS Analytical and Logical Reasoning20 MCQsLAT Analytical and Logical Reasoning15 MCQsNADRA Analytical and Logical Reasoning15 MCQsPAF Analytical and Logical Reasoning12 MCQsPAF Airman Analytical and Logical Reasoning12 MCQsPakistan Army Commissioned Officer Test Analytical and Logical Reasoning12 MCQsPakistan Navy Test Analytical and Logical Reasoning12 MCQsPMA Long Course Test Analytical and Logical Reasoning12 MCQsNET Analytical and Logical Reasoning10 MCQsPost RN BSN Analytical and Logical Reasoning10 MCQsDUHS Analytical and Logical Reasoning9 MCQsETEA MDCAT Analytical and Logical Reasoning9 MCQsKMU Analytical and Logical Reasoning9 MCQsMDCAT Analytical and Logical Reasoning9 MCQs

More Quantitative Reasoning questions

State whether a ∈ C, if {a} ⊂ A: i: A ⊆ B ii: B ⊆ C

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?

If u > t, r > q, s > t, and t > r, which of the following must be true?I. u > sII. s > qIII. u > r