Bunuel wrote:
If x = 0.abcd, where a, b, c, and d each represent a nonzero digit of x, what is the value of x ?(1) a/2 = b = 2c = 4d --> multiply by 2: a=2b=4c=8d --> since each represent
a nonzero single digit then
d can only be 1 (if it's more than 1
a will be more than 10) --> a=8, b=4, c=2 and d=1. Sufficient.
(2) The product of a and d is equal to the product of b and c --> multiple values of x are possible: 0.1111, 2222, 1221, ... Not sufficient.
Answer: A.
Similar question to practice:
http://gmatclub.com/forum/if-x-0-rstu-w ... 09735.htmlHope it helps.
The question has given 4 different variables a, b, c and d. So in (2) shouldn't we be taking different values?:
ad=bc
=> a,d can be either of 3,2 or 6,1. similar with b, c. So we have
x=0.2163,
0.3162,
0.3612,
0.2613, and so on (insufficient)
(not that my query is related directly to the given question but it may help to know about the same when solving other questions)
TIA