0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

If 0.2317 is expressed in the form of pq, where 'p' and 'q' are co-prime and also 'q' is in the form 2n×5m, what are the values of 'm' and 'n' respectively?
  1. 4,3
  2. 4,5
  3. 4,4
  4. 3,4

A
4,5
B
4,3
C
3,4
D
4,4
Solution
Verified by Toppr

0.2317=0.2317×100001×10000=231710000
2317 and 10000 are co-prime numbers.
231710000=231724×54
n=4,m=4
Hence, the correct answer will be option C.

Was this answer helpful?
1
Similar Questions
Q1
If 0.2317 is expressed in the form of pq, where 'p' and 'q' are co-prime and also 'q' is in the form 2n×5m, what are the values of 'm' and 'n' respectively?
View Solution
Q2
Express 0.56125 in the form pq, where p and q are co-prime and also q in the form 2n×5m.
View Solution
Q3

If a terminating decimal can be expressed in the form pq where p and q are co-prime integers and q ≠ 0, and q is of the form 2m5n .where m and n are non-negative integers.


View Solution
Q4

Let x be a rational number whose simplest form is expressed as pq, where p and q are co-prime integers and q0 and also, x is a terminating decimal, then q can be expressed in the form of _____________ (where m and n are non-negative integers).


View Solution
Q5

Any rational number x in the form p/q (where p and q are co primes), whose decimal expression terminates. Which of the following represents the correct form of prime factorisation of q?


View Solution