Question

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. NoneB. III onlyC. I and III onlyD. II and III onlyE. I, II, and III

Answer 1

Only C

Explanation:

A = 3D

J = 7 + D

A: Alice doesn't necceserily have more stamps than Jane ( Jane could have 8 + 4 = 12 stamps, and Alice would have 3 + 4 = 7) (This is false)

B: Jane will ALWAYS have 7 more stamps than Doris (if all values are increased by same amount). (This is false)

C: The Sum of Alice and Doris is D + 3D = 4D, so C is true