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12 May 2021, 05:30
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
61% (02:20) correct
39%
(02:09)
wrong
based on 111
sessions
History
Date
Time
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Not Attempted Yet
If i and d are integers, what is the value of i?
(1) The remainder when i is divided by (d+2) is the same as when i is divided by d
(2) The quotient when i is divided by (d+2) is d
(1) The remainder when i is divided by (d+2) is the same as when i is divided by d
(2) The quotient when i is divided by (d+2) is d
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:
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Data Sufficiency Forum
12 May 2021, 07:02
Kudos
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No values given, so answer will very likely be E.
1.) let d = 2 and i = 5
i/(d+2): 5/4 has a remainder of 1.
i/(d): 5/2 has a remainder of 1.
However, let d = 5 and i = 2
i/(d+2): 2/7 has a remainder of 2
i/(d): 2/5 has a remainder of 2
As we are asked for a specific value INSUFFICIENT
2.) let d = 2 and i = 10
i/(d+2): 10/4 quotient is 2 (d)
let d = 1 and i = 4
i/(d+2): 4/3 quotient is 1 (d)
Multiple possibilities work INSUFFICIENT
Together: Still cannot arrive to a single value for i
ANSWER E
1.) let d = 2 and i = 5
i/(d+2): 5/4 has a remainder of 1.
i/(d): 5/2 has a remainder of 1.
However, let d = 5 and i = 2
i/(d+2): 2/7 has a remainder of 2
i/(d): 2/5 has a remainder of 2
As we are asked for a specific value INSUFFICIENT
2.) let d = 2 and i = 10
i/(d+2): 10/4 quotient is 2 (d)
let d = 1 and i = 4
i/(d+2): 4/3 quotient is 1 (d)
Multiple possibilities work INSUFFICIENT
Together: Still cannot arrive to a single value for i
ANSWER E
15 May 2021, 02:45
Kudos
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Bunuel
It can be done algebraically but picking numbers would probably be faster/easier.
If i and d are integers, what is the value of i?
(1) The remainder when i is divided by (d+2) is the same as when i is divided by d --> let the remainder be 0 to simplify the case. So, we have that i is divisible by both d and d+2 --> if d=1 then d+2=3 and i can be ANY multiple of 3. Not sufficient.
(2) The quotient when i is divided by (d+2) is d --> let the remainder be 0 to simplify the case. Now, if d=2 then d+2=4, so i=8 (8/4=2: i=8 divided by d+2=4 yields the quotient of d=2) but if d=3 then d+2=5 and i=15 (15/5=3). Not sufficient.
(1)+(2) Notice that two values of i from (2) works for (1) as well: 8 is divisible d=2 and d+2=4 and 15 is divisible by d=3 and d+2=5.
Answer: E.
Hope it's clear.
