Question

The total number of two-digit positive integer < than 100, which are not divisible by 2, 3 and 5 is

Answer 1

i have o idea of the process but the ans is 24

Answer 2

Numbers less than 100 divisible by 2 are 10, 12, 14, 16� 98 Total numbers divisible by 2 are 45 Remaining numbers are 11, 13, 15, 17, 19�99 = 45 integersNumbers divisible by 3 in the above numbers15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 87, 93 and 99Total numbers divisible by 3 are = 15 Remaining integers = 45 � 15 = 30 Numbers divisible by 5 in the remaining numbers = 25, 35, 55, 65, 85, 95 Total numbers = 6 Remaining 30 � 6 = 24 numbers are not divisible by 2, 3 and 5