Carcass wrote:
Alice has 3 times the number of stamps that Doris does and Jane has 7 stamps more than Doris does. If Alice, Doris, and Jane each increase their number of stamps by 4, which of the following must be true after each person increases her number of stamps?
A) Alice has more stamps than Jane.
B) Jane has 3 more stamps than Doris.
C) The sum of the numbers of stamps that Alice and Doris have is a multiple of 4.
A. None
B. III only
C. I and III only
D. II and III only
E. I, II, and III
We have
A=3D; (Alice = A; Doris = D and Jane = J)
J=D+7;
Let's take
D = 1
So,
---- A : D
-----3 : 1
-------- D : J
-------- 1 : 8
A : D : J
3 : 1 : 8
They increase the stamp by 4
A : D : J
7 : 5 : 12
Option A : Alice has more stamps than Jane - This is not possible
Option B: Jane has 3 more stamps than Doris - This is not possible
Option C: The sum of the numbers of stamps that Alice and Doris have is a multiple of 4 = 7 + 5 = 12, true it is a multiple of 4