Bunuel wrote:
Which of the following is the lowest positive integer that is divisible by 8, 9, 10, 11, and 12?
A. 7,920
B. 5,940
C. 3,960
D. 2,970
E. 890
No.'s are quite interesting in this case
like 2*2970 = 5940 and 2*3960=7920, this is something one should reveal himself at first look
Now looking at divisible no 8,9,10,11,12.. I will in a second try for 10, yups all no. are divisible by 10
Now for next contender i will look for a prime 11, kindly note even after dividing by 11 the no. should be divisible by 8,9,5 (out of minimum of 8, 9, 5 (10 as 2 is already considered with 8), 12 ( 4 and 3 already taken care with 8 and 9)
Starting with lowest = 890 / 11= 80 not divisible by 3
2970/11=270 not divisible by 8
3960/11= 360 divisible by 8,9,5 got it !!
5940/11 = 540 divisible by 8,9,5 but already got the answer
7920/11 = 720 already checked 3960 so it will by having, but smaller one already filtered