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.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
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.
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.
More Quantitative Reasoning questions
In a game of basketball, a field goal is either 2 or 3 points. In a college basketball tournament, Jim made 73 more 2-point field goals than 3-point field goals. If he scored a total of 216 points in the tournament, how many 3-point field goals did he make?
There are 28 tables for customers at Mesa Grill Restaurant. The tables are either two-seat tables or four-seat tables. When all the tables are full, there will be 90 customers in the restaurant. How many two-seat tables are at the restaurant?
Adam and Betty purchased a printer together for $258. If Adam paid $18 less than twice of what Betty paid, how much money did Adam pay for the printer?
In a car dealership, all of the vehicles are either a sedan or a SUV. If 36 sedans are sold and 36 SUVs are added, there will be an equal number of sedans and SUVs. If 8 SUVs are sold and 8 sedans are added, there will be twice as many sedans as SUVs. How many sedans were at the dealership before any vehicle was sold?
Tom wants to rent a truck for two days and pay no more than $300. How far can he drive the truck if the truck rental costs $49 a day plus $0.40 a mile?
The ratio of 1 ¾ to 2 ½ is equal to the ratio of 14 to what number?