how many positive integer are between 10 and 2016 are divisible by 3 and have all of their digits the
same?
(1) 9
(2) 12
(4) 18
(3) 6
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3
Answer:
12 numbers
Step-by-step explanation:
two Digits numbers having same Digits are
11 , 22 , 33 , 44 , 55 , 66 , 77 , 88 , 99
Divisible by 3 - 33 , 66 & 99
- 3 numbers
Three Digit numbers Having same Digit
111 , 222 , 333 , 444 , 555 , 666 , 777 , 888 , 999 all are Divisible by 3
9 numbers
Four Digit numbers Having same digit
1111 is not Divisible by 3
Total Such numbers = 3 + 9 = 12
12 numbers between 10 and 2016 are divisible by 3 and have all of their digits the same
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