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SAT Math Videos 171 videos
SAT Math 1.1 Statistics and Probability. In which of the following data sets are the arithmetic mean and the median equal?
SAT Math: Statistics and Probability Drill 1, Problem 2. If the four largest numbers in the set were doubled, what would happen to the median...
SAT Math 1.3 Statistics and Probability. Approximately what is the probability that they will be placed in alphabetical order?
SAT Math 4.5 Numbers and Operations 209 Views
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Description:
SAT Math 4.5 Numbers and Operations
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...
Full Transcript
- 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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