Twice the product of m and n decreased by the square of the sum of m and n. Which of the following is an expression for the statement above?
Correct answer: B. 2mn - (m+n)2
- A. 2mn2 - (m2 + n2)
- B. 2mn - (m+n)2
- C. (m+n)2 - 2mn
- D. (m2 + n2) - 2mn
Explanation
The correct expression is 2mn - (m+n)2. The statement specifies that you should first find the product of m and n, multiply it by two, and then subtract the square of the sum of m and n. Option B accurately reflects this procedure. Option A incorrectly uses the square of each variable separately. Option C reverses the order, and Option D also incorrectly uses individual squares instead of the square of the sum.
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?