Q32,Paper 2,D13. Given that (292)10== (1204)x in some number system x. The base x of that number system is

(A) 2

(B) 8

(C) 10

(D) None of the above

Answer D.

Explanation.  

292 is written in binary form as.100100100.

 Grouping them in three (100  100  100) gives 444. Hence base is not 8.

Base 2 will produce  digits in  1,0. Hence 1204 is not the answer in base 2.

Base 10 is 292 given.

Hence option D.