Carcass wrote:
In a three-digit number n, the hundreds digit is 3 times the units digit.
Quantity A |
Quantity B |
The units digit of n |
4 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
GIVEN: In a three-digit number n, the hundreds digit is 3 times the units digit.
There are only three possible cases in which the hundreds digit is three times the unit's digit:
Case i: the number is in the form: 3_
1Case ii: the number is in the form: 6_
2Case iii: the number is in the form: 9_
3Notice that, if the units digit is greater than 3, then the tens digit will be a TWO-DIGIT number, which is impossible.
We have:
QUANTITY A:
1,
2, or
3QUANTITY B: 4
In all possible cases,
Quantity B is greaterAnswer: B
Cheers,
Brent