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Great Question
Here y=0.jklm
To get y we need j,k,l,m
Statement 1
using test cases
y=0.9876
y=0.8765
Clearly not sufficient
Statement 2
This statement looks interesting
Here j>1
and a=> (1,j)
so least possible value of j is 3
a=2
=> y=0.3579
Hmmm
let j=4
a=2
=> y=0.468[10]=> not posible as m is a single digit integer.
hence the only possible value of y is 0.3579

Hence Sufficient
Hence B
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1) Insufficient as it could be 2<3<4<5 or 3<4<5<6 or 4<5<6<7 etc
2)
j+a=k
k+a=m
m+a=n
j>a>1

a=2 ;j=3
3+2=k -> k=5
5+2=m -> m=7
7+2=n -> n=9

jkmn=3759 -> y=0.3579 -> Statement 2 is sufficient -> B
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If y = 0.jkmn, where j, k, m, and n each represent a nonzero digit of y, what is the value of y ?

(1) j < k < m < n

Clearly insufficient.
j = 1, k = 2, m = 3, n = 4
j = 2, k = 3, m = 4, n = 5

(2) j + a = k, k + a = m, and m + a = n, where j > a > 1.

Sufficient.
j = 3, a = 2, m = 7, n = 9 YES
j = 4, a = 2, m = 8, n = 10 NO (n cannot be a two-digit integer)

B.
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If y = 0.jkmn, where j, k, m, and n each represent a nonzero digit of y, what is the value of y ?

(1) j < k < m < n
j = 6 k = 7, m = 8, n = 9
j = 5, k = 6, m = 7, n = 8 , so this is not sufficient.

(2) j + a = k, k + a = m, and m + a = n, where j > a > 1.

j = 3, a = 2, m = 7, n = 9 YES
j = 4, a = 3, m = 7, n = 10 NO (n cannot be a two-digit integer)
so the only possible values will be x=0.3579 , Sufficient.

Ans B.
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Hello from the GMAT Club BumpBot!

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