ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Numbers and Operations Videos 63 videos
SAT Math 1.1 Numbers and Operations. How many combinations of beverage and cereal can be made?
SAT Math: Numbers and Operations Drill 1, Problem 2. If the masterpiece will be worth $45,055 in five years, what is its worth now?
SAT Math 1.3 Numbers and Operations. x and y must be which of the following?
SAT Math 4.5 Numbers and Operations 203 Views
Share It!
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.
Related Videos
SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?
In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...
Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...