Latest Infosys Aptitude Question SOLUTION: find a 13digit Number N that is an integer multiple of 2 to the power 13 and its whole digits consists of only 8's nd 9's

• Placement Papers
• /
• Infosys
• /
• Numerical Ability
• /
• Algebra

Infosys Question Papers: Infosys Interview Experience(10) INFOSYS Company Profile

(#M40017646) INFOSYS Numerical Ability question Keep an EYE

find a 13digit Number N that is an integer multiple of 2 to the power 13 and its whole digits consists of only 8's nd 9's

Asked In Infosys praveen (11 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (6)   (1) Submit Your Solution Algebra

Read Solution (1) :

Tijo Jose  (11 years ago)

The answer is 8898989989888.

Given, the number is a multiple of 2^13. So, the number is a multiple of 2, 4, 8, 16, 2^5, 2^6, ..., 2^13.

Since the number is a multiple of 2, the last digit has to be 8.
Since the number is a multiple of 4, the last two digits must be a multiple of 4. Since the last digit is fixed at 8, the only option for the next one is 8. So, we have the last two digits as 88.
Since the number is a multiple of 8, the last three digits must be a multiple of 8. Again, the only option turns out to be 888.
Since the number is a multiple of 16, the last four digits must be a multiple of 16. Again, the only option is 9888. (8888 is not divisible by 16)
Continuing in this fashion, we can find all the digits from right to left.

Is this solution Helpfull? Yes (40) | No (1)  

Please Login to Read Solution.