View
175
Download
2
Category
Preview:
Citation preview
Word Problem Ratio, percentsData Sufficiency – Question 7
Question
A candy manufacturer decided to decrease the weight of
each candy bar, while retaining the price. By how many cents
did the per kilogram cost of candy change after the reduction
in weight?
1. The weight of each piece of candy bar reduced by 9
grams.
2. The weight of each piece of candy bar reduced by 9%
CombineStatement 2Statement 1ApproachQuestion StemQuestion
◴Answer these questions before evaluating the statements.
Determine approach to solve the question
Step 1
Spend a few seconds answering the following questions
Before going to the statements
When is the data sufficient? Assign variables
The data is sufficient when we are able to find a unique value for the change in cost per kilogram of the candy.
CombineStatement 2Statement 1ApproachQuestion StemQuestion
Spend a few seconds answering the following questions
Before going to the statements
When is the data sufficient? When is it not sufficient? Assign variables
The data is sufficient when we are able to find a unique value for the change in cost per kilogram of the candy.
The data is NOT sufficient either when we get more than one value or we are not able to determine the value.
CombineStatement 2Statement 1ApproachQuestion StemQuestion
Spend a few seconds answering the following questions
Before going to the statements
When is the data sufficient? When is it not sufficient? Assign variables
The data is sufficient when we are able to find a unique value for the change in cost per kilogram of the candy.
The data is NOT sufficient either when we get more than one value or we are not able to determine the value.
Let x be the initial cost per kilogram of the candies.
Let y be the cost per kilogram after the weight of the candies are reduced. So, y > x
CombineStatement 2Statement 1ApproachQuestion StemQuestion
Meticulously evaluate the statements to see whether we can find values for x and y
Approach to solve the question
Does statement 1 provide values for x and y or (y – x)?
CombineStatement 2Statement 1ApproachQuestion StemQuestion
Does statement 2 provide values for x and y or (y – x)?
Meticulously evaluate the statements to see whether we can find values for x and y
Approach to solve the question
Does statement 1 provide values for x and y or (y – x)?
CombineStatement 2Statement 1ApproachQuestion StemQuestion
Does statement 2 provide values for x and y or (y – x)?
If the answer to the previous 2 questions were NO, combine the data in the two statements to
see whether we can find values of x and y or (y – x).
◴Evaluate Statement 1 alone
Step 2
By how many cents did the per kilogram cost of candy change?
Statement 1 : The weight of each piece of candy bar reduced by 9 grams.
Yes
1
Can we find x
using statement 1?
CombineStatement 2Statement 1ApproachQuestion StemQuestion
By how many cents did the per kilogram cost of candy change?
Statement 1 : The weight of each piece of candy bar reduced by 9 grams.
Yes
1
Can we find x
using statement 1?
CombineStatement 2Statement 1ApproachQuestion StemQuestion
NO
By how many cents did the per kilogram cost of candy change?
Statement 1 : The weight of each piece of candy bar reduced by 9 grams.
Yes
1
Can we find x
using statement 1?
CombineStatement 2Statement 1ApproachQuestion StemQuestion
2
Can we find y
using statement 1?
NO
By how many cents did the per kilogram cost of candy change?
Statement 1 : The weight of each piece of candy bar reduced by 9 grams.
Yes
1
Can we find x
using statement 1?
CombineStatement 2Statement 1ApproachQuestion StemQuestion
2
Can we find y
using statement 1?
NONO
By how many cents did the per kilogram cost of candy change?
Statement 1 : The weight of each piece of candy bar reduced by 9 grams.
Yes
1 3
Can we find x
using statement 1?
CombineStatement 2Statement 1ApproachQuestion StemQuestion
2
Can we find y
using statement 1?
NO
Can we find
(y – x) using (1)?
NO
By how many cents did the per kilogram cost of candy change?
Statement 1 : The weight of each piece of candy bar reduced by 9 grams.
Yes
1 3
Can we find x
using statement 1?
NO
CombineStatement 2Statement 1ApproachQuestion StemQuestion
2
Can we find y
using statement 1?
NO
Can we find
(y – x) using (1)?
NO
By how many cents did the per kilogram cost of candy change?
Statement 1 : The weight of each piece of candy bar reduced by 9 grams.
Yes
1 3
Can we find x
using statement 1?
NO
Choices narrow down to B, C or E.
Eliminate choices A and D
Statement 1 alone is NOT sufficient
CombineStatement 2Statement 1ApproachQuestion StemQuestion
2
Can we find y
using statement 1?
NO
Can we find
(y – x) using (1)?
NO
◴Evaluate Statement 2 alone
Step 3
Yes
CombineStatement 2Statement 1ApproachQuestion StemQuestion
1
Can we find x
using statement 2?
By how many cents did the per kilogram cost of candy change?Statement 2 : The weight of each piece of candy bar reduced by 9%
Yes
CombineStatement 2Statement 1ApproachQuestion StemQuestion
1
Can we find x
using statement 2?
NO
By how many cents did the per kilogram cost of candy change?Statement 2 : The weight of each piece of candy bar reduced by 9%
Yes
CombineStatement 2Statement 1ApproachQuestion StemQuestion
1
Can we find x
using statement 2?
2
Can we find y
using statement 2?
NO
By how many cents did the per kilogram cost of candy change?Statement 2 : The weight of each piece of candy bar reduced by 9%
Yes
CombineStatement 2Statement 1ApproachQuestion StemQuestion
1
Can we find x
using statement 2?
2
Can we find y
using statement 2?
NONO
By how many cents did the per kilogram cost of candy change?Statement 2 : The weight of each piece of candy bar reduced by 9%
Yes
CombineStatement 2Statement 1ApproachQuestion StemQuestion
1
Can we find x
using statement 2?
2
Can we find y
using statement 2?
NO
Can we find
(y – x) using (2)?
NO
By how many cents did the per kilogram cost of candy change?Statement 2 : The weight of each piece of candy bar reduced by 9%
3
Yes
CombineStatement 2Statement 1ApproachQuestion StemQuestion
1
Can we find x
using statement 2?
NO
2
Can we find y
using statement 2?
NO
Can we find
(y – x) using (2)?
NO
By how many cents did the per kilogram cost of candy change?Statement 2 : The weight of each piece of candy bar reduced by 9%
3
Yes
Choices narrow down to C or E.
Eliminate choice B as well
Statement 2 alone is NOT sufficient
CombineStatement 2Statement 1ApproachQuestion StemQuestion
1
Can we find x
using statement 2?
NO
2
Can we find y
using statement 2?
NO
Can we find
(y – x) using (2)?
NO
By how many cents did the per kilogram cost of candy change?Statement 2 : The weight of each piece of candy bar reduced by 9%
3
◴Evaluate the data given in the two statements together
Step 4
Yes
CombineStatement 2Statement 1ApproachQuestion StemQuestion
What can we deduce? Do we have the answer for (y – x)?
9% reduction is 9 grams .
Therefore, weight of each candy bar before the reduction in weight is 100 grams.
By how many cents did the per kilogram cost of candy change?Combine the statements : The weight of each piece of candy bar reduced by 9 grams & The
weight of each piece of candy bar reduced by 9%
.
Yes
CombineStatement 2Statement 1ApproachQuestion StemQuestion
What can we deduce? Do we have the answer for (y – x)?
9% reduction is 9 grams .
Therefore, weight of each candy bar before the reduction in weight is 100 grams.
We still do not know x and y or (y – x )
By how many cents did the per kilogram cost of candy change?Combine the statements : The weight of each piece of candy bar reduced by 9 grams & The
weight of each piece of candy bar reduced by 9%
.
Yes
CombineStatement 2Statement 1ApproachQuestion StemQuestion
What can we deduce? Do we have the answer for (y – x)?
9% reduction is 9 grams .
Therefore, weight of each candy bar before the reduction in weight is 100 grams.
We still do not know x and y or (y – x )
By how many cents did the per kilogram cost of candy change?Combine the statements : The weight of each piece of candy bar reduced by 9 grams & The
weight of each piece of candy bar reduced by 9%
.
Answer Choice E
Eliminate choice C.
Statements together are NOT sufficient
More Hard Math Questions
Visit www.q-51.com
Queries, feedback?
Reach us at info@4gmat.com
GMAT Classes @ Chennai, India
Weekend and weekday GMAT classes by US B School graduates, GMAT 98%lers.
Chennai.4gmat.com or +91 95000 48484
GMAT Classes @ Bangalore, India
Weekend classes by US B school graduates.
Bangalore.4gmat.com or +91 74060 48484
Recommended