The distance between the house of Rajan and Raman is 900 km and the house of former is at 100th milestone where as the house of Raman is at 1000th milestone. There are total 901 milestone at a regular interval of 1 km each. When you go to Raman's house from the house of Rajan which are on same highway, you will find that if the last digit (i.e. unit digit) of 3 digit number on every milestone is same as the first (i.e. hundreds digit) of the number on the next milestone is same, then these milestones must be red colour and rest will be of black. Total number of red colour milestone is:
Options:
A . 179
B . 90
C . 189
D . 100
E . Can't be determined
Answer: Option A Rajan (100)____________________ (1000) Raman These numbers are: (101, 102), (111, 102), (121, 122), (131,132).........(202, 203), (212, 213), ....... (303, 304), (313, 314) ......... (808, 809)......... (989, 990) Thus, there are total 20 × 7 + 21 + 18 = 179, mile stones which are red, because the hundreds digit on the next milestone is same as the unit digit of previous milestone.
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