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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
88% (01:25) correct
13%
(01:45)
wrong
based on 72
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Just before Christmas stereo x and stereo y both go on sale. If for the sale, both stereos are discounted from their regular prices, is the Christmas sale price of stereo x lower than the Christmas sale price of stereo y?
(1) The sale price of stereo x is 15 percent less than its regular price; the sale price of stereo y is 20 percent less than the regular price.
(2) The sale price of stereo x is $150 less than its regular price; the sale price of stereo y is $200 less than its regular price.
(1) The sale price of stereo x is 15 percent less than its regular price; the sale price of stereo y is 20 percent less than the regular price.
(2) The sale price of stereo x is $150 less than its regular price; the sale price of stereo y is $200 less than its regular price.
15 Mar 2026, 00:03
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Just before Christmas stereo x and stereo y both go on sale. If for the sale, both stereos are discounted from their regular prices, is the Christmas sale price of stereo x lower than the Christmas sale price of stereo y?
(1) The sale price of stereo x is 15 percent less than its regular price; the sale price of stereo y is 20 percent less than the regular price.
(2) The sale price of stereo x is $150 less than its regular price; the sale price of stereo y is $200 less than its regular price.
Let the regular price of stereo x be X and that of stereo y be Y. Now, let's assume the sale prices of stereo x and y be X1 and Y1 respectively. We need to find out if X1 < Y1.
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: The sale price of stereo x is 15 percent less than its regular price; the sale price of stereo y is 20 percent less than the regular price.
=> X1 = 0.85X and Y1 = 0.8Y
As we have no clue about the values of X and Y, we cannot deduce whether X1 < Y1. Thus, Statement 1 is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: The sale price of stereo x is $150 less than its regular price; the sale price of stereo y is $200 less than its regular price.
Given:
X1 = X - 150 and Y1 = Y - 200
We need to find out if X1 < Y1 => X - 150 < Y - 200
Now, similar to Statement 1, in this case - As we have no clue about the values of X and Y, we cannot deduce whether X1 < Y1. Thus, Statement 2 is insufficient alone as well.
Now, let's look at the combination of both the statements:
0.85X = X - 150
0.15X = 150
Thus, X = 1000 and X1 = 850
Similarly,
0.8Y = Y - 200
0.2Y = 200
Thus, Y = 1000 and Y1 = 800
Clearly, Y1 > X1 => NO
Hence, the correct answer is Option C - BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Hope this helps!
(1) The sale price of stereo x is 15 percent less than its regular price; the sale price of stereo y is 20 percent less than the regular price.
(2) The sale price of stereo x is $150 less than its regular price; the sale price of stereo y is $200 less than its regular price.
Let the regular price of stereo x be X and that of stereo y be Y. Now, let's assume the sale prices of stereo x and y be X1 and Y1 respectively. We need to find out if X1 < Y1.
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: The sale price of stereo x is 15 percent less than its regular price; the sale price of stereo y is 20 percent less than the regular price.
=> X1 = 0.85X and Y1 = 0.8Y
As we have no clue about the values of X and Y, we cannot deduce whether X1 < Y1. Thus, Statement 1 is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: The sale price of stereo x is $150 less than its regular price; the sale price of stereo y is $200 less than its regular price.
Given:
X1 = X - 150 and Y1 = Y - 200
We need to find out if X1 < Y1 => X - 150 < Y - 200
Now, similar to Statement 1, in this case - As we have no clue about the values of X and Y, we cannot deduce whether X1 < Y1. Thus, Statement 2 is insufficient alone as well.
Now, let's look at the combination of both the statements:
0.85X = X - 150
0.15X = 150
Thus, X = 1000 and X1 = 850
Similarly,
0.8Y = Y - 200
0.2Y = 200
Thus, Y = 1000 and Y1 = 800
Clearly, Y1 > X1 => NO
Hence, the correct answer is Option C - BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Hope this helps!
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