options are:
a) 25
b) 24
c) 16
d) 20
2007-06-27 22:04:23 · 3 answers · asked by BLAZER...! 1 in Science & Mathematics ➔ Mathematics
24 as procuct of n consecutive numbers is divisible by n!
4! = 24
2007-06-27 22:10:55 · answer #1 · answered by Mein Hoon Na 7 · 0⤊ 0⤋
not given.
By saying "Any four" consecutive numbers...
You open the option for numbers such as:
X = (1.3421967 X 10^32678) * 4 -1
Which would be really obnoxious....
but now prove that THAT number and the 3 following (X, X+1, X+2, X+3) have a greatest common factor that is in your list.
2007-06-28 05:12:05 · answer #2 · answered by Anonymous · 0⤊ 1⤋
1*2*3*4 = 24, GF = 24 (or 12, if you don't allow 1*24)
2*3*4*5 = 120, GF = 120 or 60
3*4*5*6 = 360, GF = 360 or 180
Now, if you make the word product plural (products), 24 is the correct answer.
2007-06-28 05:41:34 · answer #3 · answered by Helmut 7 · 0⤊ 0⤋