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SAT Math 4.5 Numbers and Operations 203 Views


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SAT Math 4.5 Numbers and Operations

Language:
English Language

Transcript

00:02

And here's an unshmoopy question you may find on an exam somewhere in life...

00:05

When a certain positive number is divided by 5 the remainder is 1.

00:09

When it is divided by 8, the remainder is 4.

00:11

What is the smallest possible value of this number?

00:15

And here are the potential answers...

00:20

The best way to find the answer is to just guess and check, using logic.

00:25

Since we want the smallest possible answer, let's start with the smallest answer choice

00:29

and work our way up until we find the right one.

00:31

We'll first start with Choice A first.

00:34

When divided by 5, 16 does leave a remainder of 1, but 16 is divisible by 8.

00:39

So Choice A gets the axe.

00:42

Time for Choice B's audition.

00:44

21 fits the first criterion, but when divided by 8, it has a remainder of 5.

00:50

Choice C is next. We see right away that 24 is a multiply of 8...

00:57

Now Choice D. 34 has a remainder of 4 when divided by 5

01:01

and a remainder of 2 when divided by 8.

01:03

Nope.

01:04

Now we only have one candidate left.

01:06

36 has a remainder of 1 when divided by 5 and a remainder of 4 when divided by 8.

01:12

Choice E is the correct answer.

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