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21 Jul 2018, 11:09
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C
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Difficulty:
5%
(low)
Question Stats:
92% (01:23) correct
8%
(01:12)
wrong
based on 54
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Is the positive integer Y greater than 20?
(1) Y divided by 7 gives a remainder of 1.
(2) Y divided by 5 gives a remainder of 4.
(1) Y divided by 7 gives a remainder of 1.
(2) Y divided by 5 gives a remainder of 4.
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
21 Jul 2018, 11:59
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It's a Yes or No question.
No information is provided in the question so we'll jump into our statements.
Statement 1:Y divided by 7 gives a remainder of 1.
Y=7k+1
For k = 0,1,2,3,4,5,6
Y = 1,8,15,22,29,36
Not sufficient as we have multiple answers. (Y > 20 when Y = 22,29,36 but Y<20 when Y = 1,8,15)
Statement 2: Y divided by 5 gives a remainder of 4.
Y=5k+4
For k = 0,1,2,3,4,5,6
Y = 4,9,14,19,24,29,34
Not sufficient as we have multiple answers. (Y > 20 when Y = 24,29,34 but Y<20 when Y = 4,9,14)
Combining statement 1 & 2:
Observe that Y = 29 is common for both the statements.
Hence Y > 20. Sufficient
Answer : C
Give it a kudos if you like the explanation.
Posted from my mobile device
No information is provided in the question so we'll jump into our statements.
Statement 1:Y divided by 7 gives a remainder of 1.
Y=7k+1
For k = 0,1,2,3,4,5,6
Y = 1,8,15,22,29,36
Not sufficient as we have multiple answers. (Y > 20 when Y = 22,29,36 but Y<20 when Y = 1,8,15)
Statement 2: Y divided by 5 gives a remainder of 4.
Y=5k+4
For k = 0,1,2,3,4,5,6
Y = 4,9,14,19,24,29,34
Not sufficient as we have multiple answers. (Y > 20 when Y = 24,29,34 but Y<20 when Y = 4,9,14)
Combining statement 1 & 2:
Observe that Y = 29 is common for both the statements.
Hence Y > 20. Sufficient
Answer : C
Give it a kudos if you like the explanation.
Posted from my mobile device
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