9. CBQ - Find the number of basket

Question:

5 m.

A fruit seller has 240 apples and 400 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

78
81
79
80

2. Number of fruits per basket is

$5 apples and 5 oranges$
$3 apples and 5 oranges$
$3 apples and 3 oranges$
$5 apples and 3 oranges$

3. Is the total sum of apples and oranges is divisible by 80?

4. Is the difference between apples an oranges is divisible by 80?

5. Which of the following property is used here?

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 $A$ is divisible by all the factors of $k$.
If $A$ is divisible by $k$, then all multiples of $A$ are divisible by $k$.
If $A$ is divisible by $k$ and $A$ is also divisible by $m$, then $A$ is divisible by the LCM of $k$ and $m$.

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