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If k=m(m+4)(m+5) k and m are positive integers. Which of the following
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25 Nov 2022, 02:02
25 Nov 2022, 02:02
Expert Reply
00:00
Question Stats:
38% (01:13) correct
61% (02:06) wrong based on 18 sessions
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If k=m(m+4)(m+5) k and m are positive integers. Which of the following could divide k evenly?
I.3
II.4
III.6
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
I.3
II.4
III.6
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
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Re: If k=m(m+4)(m+5) k and m are positive integers. Which of the following
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25 Nov 2022, 18:11
25 Nov 2022, 18:11
Not sure the best way to approach so I just plugged in numbers.
If M = 3 then 3(3 + 4)(3+ 5) = 168; K = 168
168 is divisible by 3, 4, and 6 so it is the correct answer.
Is there a better way to go about this?
If M = 3 then 3(3 + 4)(3+ 5) = 168; K = 168
168 is divisible by 3, 4, and 6 so it is the correct answer.
Is there a better way to go about this?
Re: If k=m(m+4)(m+5) k and m are positive integers. Which of the following
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26 Nov 2022, 01:44
26 Nov 2022, 01:44
Expert Reply
1. Let m = 3
k=m(m+4)(m+5)
So, k=3(3+4)(3+5)
Or, k=3*7*8 ( Divisible by 3 and 4 )
2. Let m = 2
k=m(m+4)(m+5)
So, k=2(2+4)(2+5)
Or, k= 2*6*7 ( Divisible by 6 )
Thus,answer must be all three of the options....
k=m(m+4)(m+5)
So, k=3(3+4)(3+5)
Or, k=3*7*8 ( Divisible by 3 and 4 )
2. Let m = 2
k=m(m+4)(m+5)
So, k=2(2+4)(2+5)
Or, k= 2*6*7 ( Divisible by 6 )
Thus,answer must be all three of the options....
