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Bunuel
If each of c, d, and e is a positive one-digit number, what is the value of e?

(1) c = 1 and c*d*e = 24

(2) d/c = 4 and d/e = 2/3

(1) 1*d*e = 24 OR d*e = 24. We could have d/e as 4/6 (e could be 4 or 6) but we could also have d/e as 3/8 (e could be 3 or 8). Thus e can take 4 values. Not sufficient.

(2) d=4c, and 3d=2e or e=3d/2 OR e=3*4c/2 = 6c
So we have e = 6c, where both c and e have to be positive one-digit numbers. The only case possible is c=1, e=6 (because for c=2 or 3 etc, e will be two digit number).
So Sufficient.

Hence B answer
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Bunuel
If each of c, d, and e is a positive one-digit number, what is the value of e?

(1) c = 1 and c*d*e = 24

(2) d/c = 4 and d/e = 2/3

(1) 1*d*e = 24 OR d*e = 24. We could have d/e as 4/6 (e could be 4 or 6) but we could also have d/e as 3/8 (e could be 3 or 8). Thus e can take 4 values. Not sufficient.

(2) d=4c, and 3d=2e or e=3d/2 OR e=3*4c/2 = 6c
So we have e = 6c, where both c and e have to be positive one-digit numbers. The only case possible is c=1, e=6 (because for c=2 or 3 etc, e will be two digit number).
So Sufficient.

Hence B answer
Can we consider .5 as one digit number?
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amanvermagmat
Bunuel
If each of c, d, and e is a positive one-digit number, what is the value of e?

(1) c = 1 and c*d*e = 24

(2) d/c = 4 and d/e = 2/3

(1) 1*d*e = 24 OR d*e = 24. We could have d/e as 4/6 (e could be 4 or 6) but we could also have d/e as 3/8 (e could be 3 or 8). Thus e can take 4 values. Not sufficient.

(2) d=4c, and 3d=2e or e=3d/2 OR e=3*4c/2 = 6c
So we have e = 6c, where both c and e have to be positive one-digit numbers. The only case possible is c=1, e=6 (because for c=2 or 3 etc, e will be two digit number).
So Sufficient.

Hence B answer
Can we consider .5 as one digit number?

No. Single-digit numbers are: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
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B.

under the condition that d,c, and e are single digit.

d/c can be 4/1 or 8/2,

d/e= 2/3 or 4/6

Answer can be concluded from both
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