1 0 , 1 1 , 1 2 , 1 3 , 1 4 , 1 5 , 1 6 , 1 7 , 2 0 , 2 2 , 2 4 , 3 1 , 1 0 0 , ? , 1 0 0 0 0
Which number can replace the question mark in the above sequence?
Hint: 16.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
I guessed 16 then gave up. :P
Ohhhh......nice question Nihar!!! Somehow the sequence looks kinda ordinary at the beginning where the numbers were in running order then after that they suddenly became ridiculously big!!! @Nihar Mahajan Anyway is there any significance in the title of your question 'Does your house have a basement'? Just wondering if it is in any way relevant cos I was trying to use it to help me get the answer!! It would be good if you can share with me!!
Log in to reply
I think he's just playing on the idea of different number bases (basements).
Log in to reply
Yeah , correct.
Log in to reply
@Nihar Mahajan – Wonderful problem! Did you make this question yourself? ....I think this question can also fit into Number Theory or Computer Science.
Log in to reply
@Rajdeep Bharati – No , this problem was given to me by my friend.
Log in to reply
@Nihar Mahajan – Hello @niharmahajan, nice question, but could you please explain what does base means(what you stated above).. I dont really understand it.. Thx
Log in to reply
@Victor Zhang – We usually follow a base 10 system (decimal system), where numbers are from 0 to 10. There are other systems too; i.e, binary (base 2), hexadecimal (base 16), etc.
a nice question! almost gave up then your title helped me solve it! :p
Problem Loading...
Note Loading...
Set Loading...
Each number is 16 in a number system with a different base, starting with base 16 and continuing with bases in descending order, ending with base 2.
1 6 in base 1 6 is 1 0
1 6 in base 1 5 is 1 1
1 6 in base 1 4 is 1 2
1 6 in base 1 3 is 1 3
1 6 in base 1 2 is 1 4
1 6 in base 1 1 is 1 5
1 6 in base 1 0 is 1 6
1 6 in base 9 is 1 7
1 6 in base 8 is 2 0
1 6 in base 7 is 2 2
1 6 in base 6 is 2 4
1 6 in base 5 is 3 1
1 6 in base 4 is 1 0 0
1 6 in base 3 is 1 2 1
1 6 in base 2 is 1 0 0 0 0
Hence , the answer is 1 2 1 . :)