9. CBQ - Find the number of basket

Question:

5 m.

A fruit seller has 180 apples and 280 oranges. The fruit seller wants to create fruit baskets so that each basket contains the same number of apples and the same number of oranges, with no fruit left over.

stock-photo-wicker-basket-with-oranges-and-apples-on-a-white-backgorund-1778587703.jpg

1. The greatest possible number of baskets made is

18
19
21
20

2. Number of fruits per basket is

$9 apples and 14 oranges$
$9 apples and 9 oranges$
$14 apples and 9 oranges$
$14 apples and 14 oranges$

3. Is the total sum of apples and oranges is divisible by 20?

4. Is the difference between apples an oranges is divisible by 20?

5. Which of the following property is used here?

If $A$ is divisible by $k$ and $A$ is also divisible by $m$, then $A$ is divisible by the LCM of $k$ and $m$.
If $M$ and $N$ are multiples of $a$, then $M + N$ and $M – N$ will also be multiples of $a$.
If $A$ is divisible by $k$, then all multiples of $A$ are divisible by $k$.
If $A$ is divisible by $k$, then $A$ is divisible by all the factors of $k$.

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