Question

Navya picked two different numbersfrom set of number cards. 300 is a multiple of both the numbers, Which of these CANNOT be a number she picked?
A. 45
B. 50
C. 60
D. 75

PLS ANSWER ASAP!!! ILL MAKE U BRAINLIEST♡​

Answer 1

Answer: Choice A)  45

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Explanation:

Since 300 is a multiple of some number, this means that mystery number is a factor of 300.

So for instance, she could have picked 60 since 60*5 = 300. Or she could have picked 50 because 50*6 = 300.

To find out if you have a factor or not, divide the 300 over each answer choice. If you get a whole number, then it is a factor.

• A) 300/45 = 6.67 approximately
• B) 300/50 = 6
• C) 300/60 = 5
• D) 300/75 = 4

Choices B through D lead to whole number results, which shows that the numbers 50, 60 and 75 are factors of 300. Flipping things around, this means that 300 is a multiple of 50, 60, and 75.

Only 45 is the one that isn't a factor of 300, which means that 300 is not a multiple of 45.

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Another way to see this is to list out the multiples of 45

• 45, 90, 135, 180, 225, 270, 315, 360, ...

and we don't land on 300. The closest we get is 315.

In contrast, let's list out the multiples of 50

• 50, 100, 150, 200, 250, 300, 350, 400, ...

The value 300 is in the list, allowing us to cross off choice B. Choices C and D are similar.