r/Sat • u/PretendMusic1427 • 1d ago

Please help me solve this question

When 0.36 is written in simplest fractional form, the sum of the numerator and the denominator is Option 1) 15 2)45 3)114 4)135

1 Upvotes

100% Upvoted

14 comments sorted by

2

u/Hot_Situation4292 420 1d ago

are u sure? i got 34 seems easy

1

u/PretendMusic1427 1d ago

I also got 34 but it's not an option

1

u/Hot_Situation4292 420 1d ago

where did you get the question

1

u/PretendMusic1427 1d ago

Quantitative aptitude by r.S Aggarwal

1

u/PretendMusic1427 1d ago

Pg-50

1

u/Alternative-Neat5327 1d ago

May be the options can be wrong or its possible if the value may be recurring which will further give 15

1

u/PretendMusic1427 1d ago

The answer indeed is 15 but HOWWW !!

1

u/Alternative-Neat5327 1d ago

Mentioned the soln below

1

u/PretendMusic1427 1d ago

Ohhhhhh 😧😧😧 thanks bud

1

u/Spare_Ad4814 1d ago

how

2

u/Alternative-Neat5327 1d ago

There can be 2 methodology for this we have to check both, Here it comes - See there is 0.36 which is 36/100=9/25, Sum=9+25=34 as asked in question above, but answer didn't match means this one failed In above case we took 0.36 as {terminating }1st case Now we will see 2nd case as 0.36 as{ recurring } 0.36 recurring=0.36363636... Let's take x=0.363636 Then multiply both side by 100 U will get, 100x=36.3636... Now subtract (x) from 100(x) 100x - x=36.363636.. - 0.363636... 99x = 36 x= 36/99 x = 4/11 Now sum of denominator and numerator can be done =4+11 =15

1

u/Hot_Situation4292 420 1d ago

it’s wrong

1

u/AutoModerator 1d ago

Reminder: When asking for help with questions from tests or books, please include the source of the question in the post title. Examples of appropriate titles might include "Help with writing question from Khan Academy" or "Help with question from Erica Meltzer's grammar book." Posts that do not adhere to this rule are subject to removal. For more information, please see rule #3 in the sidebar.

I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns.

1

u/RichInPitt 1d ago edited 1d ago

None of the above. 34 (9/25)

Unless the .36 has a bar over it as a repeating decimal, which would be A.

4/11 = 0.363636....