The numbers a , b , and c are positive and a equals 3.2bc . If b is increased by 150% and c is decreased by 60%, then a is
Correct answer: C. unchanged
- A. increased by 90%
- B. increased by 10%
- C. unchanged
- D. decreased by 10%
Explanation
The given equation is a = 3.2bc. We are told that b is increased by 150%, making the new value of b = 2.5b (since 150% of b is 1.5b, adding this to the original b gives 2.5b). Similarly, c is decreased by 60%, making the new value of c = 0.4c (since 60% of c is 0.6c, subtracting this from the original c gives 0.4c).Substituting these new values into the equation for a gives: New a = 3.2 * 2.5b * 0.4c = 3.2bc. This is exactly the same as the original value of a, showing that a is unchanged despite changes in b and c.Therefore, the correct answer is Option C: unchanged. The other options are incorrect as they suggest changes in the value of a that do not occur based on the given percentage adjustments.
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
The price of a package of 4 pens is $8.00. The same pens are sold at $2.50 each. If Alex bought three packages of pens rather than buying 12 pens individually, the amount he saved on 12 pens is what percent of the amount he paid?
There are 800 students in a school and 45% of the students are male. If 30% of the male students and 25% of the female students play varsity sports, how many students play varsity sports?
A sporting goods store added 50% profit cost and 8% tax to the price of a backpack, which then became $129.60. What was the price of the backpack before adding profit and tax?
Number n is 25 less than 120 percent of itself. What is the value of n ?
Of the 500 cars displayed in a certain car dealer, 7 percent are blue and 4 percent are red. The number of blue cars in the car dealer are what percent greater than the number of red cars?
If 2x/2y = 23 , then x must be equal to?