FDP

[swapy_shine]

Please explain this ....

Question. The integers x and (x-1) are not divisible by 4
Quantity A....The value of tenths digit of x/4
Quantity B....The value of hundredths digit of x/4

[tommywallach]

Hey Swapy,

Well, when you're thinking of divisibility by 4, remember that numbers suddenly occur in patterns of 4. There are:

Numbers that are multiples of 4: 0, 4, 8, 16...
Numbers that are ONE more than a multiple of 4: 1, 5, 9, 13...
Numbers that are TWO more than a multiple of 4: 2, 6, 10, 14...
And numbers that are THREE more than a multiple of 4: 3, 7, 11, 15...

So this prompt tells that neither x nor x-1 are multiples of 4. That means we now have two options:

1) X is two more than a multiple of 4 and x-1 is one more than a multiple of 4

OR

2) X is three more than a multiple of 4 and x-1 is two more than a multiple of 4.

Let's look at one example of each:

x = 2
(x-1) = 1

2/4 = .5

Quantity A: The tenths digit is 5
Quantity B: The hundredths digit is 0

x = 3

3/4 = .75

Quantity A: The tenths digit is 7
Quantity B: The hundredths digit is 5

So the answer is A. In both cases, the tenths digit is larger than the hundredths digit.

-t

[swapy_shine]

thanks a lot!!!

[tommywallach]

Glad to help!