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If i and d are integers, what is the value of i?
took almost 4 min to find ans ..
(1) The remainder when i is divided by (d+2) is the same as when i is divided by d

i/d+2 = K1 +R1
i/d = K2 + R1
It is only possible when K1 = d and K2 = d+2
taking numbers ... d = 4 ,i=25 .. or d=8 ,i=80 .. Not sufficient

(2) The quotient when i is divided by (d+2) is d
from statement 1 we already examined this scenario .. Not sufficient

Combining also
We are getting same result ..
Hence . Not sufficient
Ans is E
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Bunuel
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

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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.
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