Question

For every 333 days of vacation, Farah packs 444 outfits.

Which of the following statements are true?
Choose 3 answers:
Choose 3 answers:

(Choice A)
A
Farah would pack 666 outfits for an 888-day vacation.

(Choice B)
B
Farah would pack 888 outfits for a 666-day vacation.

(Choice C)
C
Farah would pack 101010 outfits for a 999-day vacation.

(Choice D)
D
Farah would pack 161616 outfits for a 121212-day vacation.

(Choice E)
E
Farah would pack 282828 outfits for a 212121-day vacation.

Answer 1

Choices B, D and E.

Explanation:

This is simple logic.

If it was choice A, number of outfits won't be lower than number of days.

Choice B is right, because if you do this:

(3×2)(3×2)(3×2)=666 days

or

6÷3=2

(4×2)(4×2)(4×2)=888 outfits

or

8÷4=2

You would know the statement is true.

If it was choice C, it's not correct:

(3×3)(3×3)(3×3)=999 days

(4×3)(4×3)(4×3)=121212 outfits (this is the closest answer because nothing can be multiplied by 4 to get 101010)

So, statement of choice C is incorrect.

Choice D is correct, because of this:

(3×4)(3×4)(3×4)=121212 days

or

12÷3=4

(4×4)(4×4)(4×4)=161616 outfits

or

16÷4=4

E is also correct, because of this:

(3×7)(3×7)(3×7)=212121 days

or

21÷3=7

(4×7)(4×7)(4×7)=282828 outfits.

So the answer is choices B, D and E.

I hope you understand my explanation.