Latest Book Aptitude Question SOLUTION: how many positive integers are there less than 800 such that all the digits are odd

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(#M40036108) BOOK question Keep an EYE

how many positive integers are there less than 800 such that all the digits are odd

Asked In Book (10 years ago)

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Ann Theressa  (10 years ago)

130

Let xyz be a 3 digit number less than 800.The digits should be odd. So y and z can take values 1,3,5,7 and 9.
x can take values 1,3,5 and 7(since xyz is less than 800)

Total number of 3 digit positive integers that can be formed
= 4*5*5
= 100
Total number of 2 digit positive integers that can be formed (here x=0)
= 5*5
= 25
Total number of 1 digit positive integers that can be formed (here x=0,y=0)
= 5

Total number of positive integers less than 800 with digits odd
= 100+25+5
= 130

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