Question

Find the least six-digit number that is exactly divisible by 8, 10, 12 and 16.

• A. 100040
• B. 100020
• C. 100060
• D. 100080

Answer 1

Answer:

D. 100080

all the options are divisible by 10 to check divisibility of last 3digits should be "0" or multiple of 8 to check the divisibility of 12 =3 x 4 check the divisibility of 3 and 4 to check the divisibility of 16 = 4 x 4 check the divisibility of 4 altogether we can check the divisibility of 2,3,4 if it is an even number, it is divisible by 2 so all the options are divisible the sum of all the number is the multiple of 3 then it should be divisible by 3 100040=1+0+0+0+4+0=5 not divisible by 3 100020=1+0+0+0+2+0=3 divisible by 3 100060=1+0+0+0+6+0=7 not divisible by 3 100080=1+0+0+0+8+0=9 divisible by 3 last 3 digits of option 2 is 020=not a multiple of 8 last 3 digits of option 4 is 040=it is a multiple of 8