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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
67% (01:08) correct
33%
(01:19)
wrong
based on 955
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Date
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a = 1,743.152
b = 2,621.073
c = 3,280.795
d = 1,406.927
If x is a member of the set {a, b, c, d}, where a, b, c, and d are the numbers shown above, what is the value of x?
(1) The hundredths digit of x is greater than 6.
(2) The thousandths digit of x is less than 4.
b = 2,621.073
c = 3,280.795
d = 1,406.927
If x is a member of the set {a, b, c, d}, where a, b, c, and d are the numbers shown above, what is the value of x?
(1) The hundredths digit of x is greater than 6.
(2) The thousandths digit of x is less than 4.
This took me 4 min and 24 sec to figure out, do anyone have some tips to speed the whole up? Question difficulty "Hard" in GMATPrep.
C
Explanation:
(1) It is given that the hundredths digit of x is greater than 6. Since the hundredths digit of a, b, c, and d are, respectively, 5, 7, 9, and 2, it follows that x could be b or c (but not a or d); NOT sufficient.
(2) It is given that the thousandths digit of x is less than 4. Since the thousandths digits of a, b, c, and d are, respectively, 2, 3, 5, and 7, it follows that x could be a or b (but not c or d); NOT sufficient.
Given (1) and (2) together, only x = b is possible; SUFFICIENT
C
Explanation:
(1) It is given that the hundredths digit of x is greater than 6. Since the hundredths digit of a, b, c, and d are, respectively, 5, 7, 9, and 2, it follows that x could be b or c (but not a or d); NOT sufficient.
(2) It is given that the thousandths digit of x is less than 4. Since the thousandths digits of a, b, c, and d are, respectively, 2, 3, 5, and 7, it follows that x could be a or b (but not c or d); NOT sufficient.
Given (1) and (2) together, only x = b is possible; SUFFICIENT
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
25 Mar 2013, 13:30
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If x is a member of the set {a, b, c, d}, where a, b, c, and d are the numbers shown above, what is the value of x?
(1) The hundredths digit of x is greater than 6.
(2) The thousandths digit of x is less than 4.
a = 1,743.152 (2)
b = 2,621.073 (2)
c = 3,280.795 (1) (2)
d = 1,406.927 (1)
Statement 1 identifies 2 numbers, the second identifies 3 numbers , so taken alone they are not sufficient
The only number that matches both 1 and 2 is C, so taken together they are sufficient
C
(1) The hundredths digit of x is greater than 6.
(2) The thousandths digit of x is less than 4.
a = 1,743.152 (2)
b = 2,621.073 (2)
c = 3,280.795 (1) (2)
d = 1,406.927 (1)
Statement 1 identifies 2 numbers, the second identifies 3 numbers , so taken alone they are not sufficient
The only number that matches both 1 and 2 is C, so taken together they are sufficient
C
25 Mar 2013, 16:39
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Zarrolou
Hi Zarrolou, beware that you're using hundreds and thousands when the question is asking for hundredths and thousandths. The funny thing is that you have the correct answer (choice C) but it's not the correct element that satisfies both conditions (2,621.073) aka two thousand six hundred and twenty one and 73 thousandths. If you're unsure what I mean, look at the digits identified in the OA.
Herein lies one of the greatest double edged swords of the GMAT. Understanding the question is paramount to answering the correct question, but the exam is formulated in such a way to make deciphering what is being asked part of the challenge. On the flip side, sometimes you get the right answer for the wrong reasons, which is just as valid an answer on test day as a well thought out solution. It's typical GMAT, the hundreds and thousands digits will often be assumed to be the 3rd and 4th digits from the end of a number, and the notation hundredths and thousandths rarely comes up, so many people will jump directly to the trap digits. In this case the trap yields the same overall answer choice, so we dodged a bullet on that one!
Hope this helps!
-Ron
