I guess the answer should be D.
What if c is 2 and D is 23
In that case Col A becomes 2 and column B becomes 3
answer will be in that case B.

Remainder of 23/2 is 1.

if d is divisible by c, like c=1and d=2,3,4....., c=2 and c=4,6,8...,
the remainder for d/c is always =0, less than c,
in any other case c will be the greater reminder

so the correct answer is D

Hey

Remainder of d/c =0 makes Quanity B = 0 Quantity A is still non zero. Quantity A is still greater.

IMPORTANT RULE #1: When positive integer N is divided by positive integer D, the remainder R is such that 0 < R < D
For example, if we divide some positive integer by 7, the remainder will be 6, 5, 4, 3, 2, 1, or 0

IMPORTANT RULE #2: If x and y are positive integers and x < y, then x divided by y equals 0 with remainder x
For example, 3 divided by 5 equals 0 with remainder 3.

Quantity A: {c, d}
Since c < d, then by RULE #2, we know that c divided by d equals 0 with remainder c
We get...
Quantity A: c

Quantity B: {d, c}
By RULE #1, we know that the remainder will be greater than or equal to 0 and LESS THAN c
In other words...
Quantity B: Some integer that's greater than or equal to 0 and LESS THAN c

Since Quantity B must be LESS THAN c, we can conclude that Quantity A is greater

Answer:

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