Consider a seven digit integer A,BC7,8DE. If the integer is divisible

Question

Consider a seven digit integer A,BC7,8DE. If the integer is divisible by 8, what is the value of two-digit integer DE?

(1) A,BC7,8DE is divisible by 5
(2) D is divisible by 8

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Deepakjhamb · Answer

Now divisibility test for 8 is last 3 digits divisible by 8

Statement 1 : DE can be 40 or 80

So insufficient

Statement 2 DE can be 80 only as D= 0 is not possible since DE is 2 digit number

So b is the answer

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DanTe02 · Answer

Okay so first lets see what the question says. If any integer is divisible by 8. Its last 3 digit must be divisible by 8 so therefore 8DE can be  . Note that the question clearly hints that DE itself is a two digit integer
Statement 1--- The number is divisible by 5 therefore.. 8DE can be   Not sufficient
Statement 2--- D is divisible by 8  so 8DE will be   Still not sufficient
Combining 1 & 2
8DE will be 880
C is the answer imo

Bryan180599 · Answer

But for statement 2, we do not say anything about E. Do D = 8 as you say but DE can be 80 or 88 and still be divisible by 8. So answer C I would say

minns · Answer

For any number to be divisible by 8, the last three digits should be divisible by 8.
We have 8 in hundreds places.

From A --> 800, 840, 880 all 3 are divisible by 5. Not sufficient.
From B --> 800, 880, 888 etc. Not sufficient.

From A & B together, we still get two possible answers i.e 800 and 880. So answer is E.

akadiyan · Answer

Consider a seven digit integer A,BC7,8DE. If the integer is divisible by 8, what is the value of two-digit integer DE?

For a number to be divisible by 8, the last 3 digits of the number should be divisible by 8.

(1) A,BC7,8DE is divisible by 5

The unit digit of the number divisible by 5 should be 0 or 5. But we do not have know any information about D. 
Option 1 -  Not Sufficient

(2) D is divisible by 8
The only possible option for D is 8, but E can be 0 or 8.

Option 2 -  Not sufficient

Option (1) + (2) together
From 2 , we know that D is 8. Now when we consider 1 +2 together, we know that E has to be 0 when D is 8.

So we get the last 3 digit number as 888 which is divisible by 8

(1) + (2) is  Sufficient

Ans:   C

exc4libur · Answer

Bunuel  what am i missing?

two-digit integer cannot be 00

(1) E={0}
(2) D={8}
(1/2) DE={80}
(C)

DanTe02 · Answer

exc4libur I'm no Bunnuel, infact there is no one like the legend himself, But i can offee you support. D cannot be zero since the question stem states that DE is a two digit integer hence D cannot be zero.

Kudos if that was helpful. If you have any queries refer to my solution above

Posted from my mobile device

Kudos if that was helpful. If you have any queries refer to my solution above

Posted from my mobile device

Consider a seven digit integer A,BC7,8DE. If the integer is divisible

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GMAT Data Sufficiency (DS) Questions

Consider a seven digit integer A,BC7,8DE. If the integer is divisible

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