# SAT Math 4.5 Numbers and Operations

SAT Math 4.5 Numbers and Operations

Algebra II | Polynomials and Rational Expressions |

Elementary Number Theory | Factors, Multiples, and Remainders |

Language | English Language |

Numbers and Operations | Fractions and Rational Numbers |

Passport to Advanced Math | Structure of equivalent expressions |

Polynomials and Rational Expressions | Remainder Theorem |

Product Type | SAT Math |

SAT Math | Numbers and Operations |

### Transcript

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

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

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

We'll first start with Choice A first.

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

So Choice A gets the axe.

Time for Choice B's audition.

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

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

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

and a remainder of 2 when divided by 8.

Nope.

Now we only have one candidate left.

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

Choice E is the correct answer.