Nabila is smart! Nafiza smarter!!
Nafiza is a very funny girl!
She plays with numbers.
All her numbers are rational.
And she writes the numbers by p/q style.
Here both p and q are digits!!
Now her friend Nabila turns all the numbers written in p/q style into points.
Nabila writes them in the following way:
p/q=0.ABCDEF
Here it’s ensured that before points there must be a zero. A,B,C,D,E and F are zero/nonzero digits!!
Now Nabila defines a function MULTmin , and declares MULTmin=A*B*C*D*E*F
And she finds all the MULTmin value of Nafiza’s numbers.
Then she tells one of her MULTmin value.
Hearing the value Nafiza understands what is the rational number chosen by Nabila.
HOW ? Find the way!
q can be 1 to 9
if q is 2,4,5,8, mult mn is zero as in those cases some of A,B,C,D,E,F, WILL BE ZERO.
IF Q IS 7 PÂ IS LESS THEN 7 AND ANY NUMBER MULTIPLIED BY Â 142857 (1/7=0.142857) LESS THEN 7 HAVE SAME DIGITS.SO MULTI MIN FOR ALL 1/7 TO 6/7 WILL BE SAME (CYCLIC NUMBER).IF Q IS 9 THEN IT IS ALL ABOUT SIXTHÂ ROOT AS 2/9 =0.222222…..
SIMILARLY FOR OTHERS.
IF Q IS 3 Â THEN IT Â CAN BE REPRESENTED IN 9 CASE AS 2/3=6/9 Â Â 1/3=3/9
IF Q IS 6 THEN 2/6 IS SAME AS 1/3, Â Â Â Â Â 4,6 AS 2/3 Â Â Â Â 3/6 AS 1/2 ONLY 5/6 IS .833333
SO THE MULTIMINN NABILA REFEREED WAS 8 *3*3*3*3*3 AS IT IS THE ONLY ONE BY WHICH WE CAN DIRECTLY IDENTIFY THE NUMBER
EDIT
I FORGOT ABOUT 1/6 AND 1/9 IF MULTIMIN IS 1 THEN NUMBER WILL BE 1/9
AND Â IF IT IS 6^5 THEN IT IS 1/6 AS IT IS 0.166666
SO SHE WILL Â SEE Â IF Â MULTIMINN IS NOT SIXTH POWER OR FIFTH POWER OF A DIGITÂ THEN NUMBER WILL BE Â 5/6
OTHERWISE THOSE UNIQUE CASES ARE PREVIOUSLY MENTIONED
What about 1/6 or 1/9?
Aren’t they also unique!!!
I accept my mistake kindly check now
she have already calculated all of them before and they were distinct .obviously it was about her numbers whom she play with so she would have known them.
“And she writes the numbers by p/q style.”
“Now her friend Nabila turns all the numbers written in p/q style into points.”
So it’s Nabila who only knows the values of MULTmin.
And Nafiza doesn’t know because she never turns them into points!!
Be romantic reading statements!! 🙂
she would have calculated through calculator  there must be something strange so she would remember it.it is easy to write  in rational form as it is small so it always help
To write a fraction in the form p/q= 0.abcde. that is to ensure there is a zero before decimal q must be greater than p that is q>p.Now it we choose highest digit for q that is 9 then any number written in the form p/q or p/9 where p=1,2,…9 when converted to fraction attain the form p/9=0.ppppppp…
that is 1/9=0.11111
2/9=0.2222
3/9=0.3333…
now after hearing the MultMIn value Nabila only need to find its fifth root to find the number.And to find the fifth root she only need to tell the last digit of the MultMin value .Because for every digit its fifth square ends in the same digit[assuming p and q are single digit numbers  ]
Your Answer
More puzzles to try-
What is the logic behind these ?
3 + 3 = 3 5 + 4 = 4 1 + 0 = 3 2 + 3 = 4 ...Read More »Defective stack of coins puzzle
There are 10 stacks of 10 coins each. Each coin weights 10 gms. However, one stack of coins is defective ...Read More »Which clock works best?
Which clock works best? The one that loses a minute a day or the one that doesn’t work at all?Read More »(Advanced) Cheryl’s Birthday Puzzle
Paul, Sam and Dean are assigned the task of figuring out two numbers. They get the following information: Both numbers ...Read More »Five greedy pirates and gold coin distribution Puzzle
Five  puzzleFry ship’s pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all ...Read More »Magical flowers!!
A  devotee goes to three temples,  temple1, temple2  and temple3  one after the other. In front of each temple, there ...Read More »Tuesday, Thursday what are other two days staring with T?
Four days are there which start with the letter ‘T‘. I can remember only two of them as “Tuesday , Thursday”. ...Read More »How could only 3 apples left
Two fathers took their sons to a fruit stall. Each man and son bought an apple, But when they returned ...Read More »How Many Eggs ?
A farmer is taking her eggs to the market in a cart, but she hits a  pothole, which knocks over ...Read More »HARD MATHS – How much faster is one train from other Puzzle
Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination ...Read More »Most Analytical GOOGLE INTERVIEW Question Revealed
Let it be simple and as direct as possible. Interviewer : Tell me how much time (in days) and money would ...Read More »Lateral thinking sequence Puzzle
Solve this logic sequence puzzle by the correct digit- 8080 = 6 1357 = 0 2022 = 1 1999 = ...Read More »How did he know?
A man leaves his house in the morning to go to office and kisses his wife. In the evening on ...Read More »Pizza Cost Math Brain Teaser
Jasmine, Thibault, and Noah were having a night out and decided to order a pizza for $10. It turned out ...Read More »Which letter replaces the question mark
Which letter replaces the question markRead More »Which room is safest puzzle
A murderer is condemned to death. He has to choose between three rooms. The first is full of raging fires, ...Read More »Richie’s Number System
Richie established a very strange number system. According to her claim for different combination of 0 and 2 you will ...Read More »Srabon wanted to pass
The result of math class test came out. Fariha’s mark was an even number. Srabon got a prime!! Nabila got ...Read More »Become Normal!!
Robi is a very serious student. On the first day of this year his seriousness for study was 1 hour. ...Read More »Sakib Knows The Number!
Ragib: I got digits of a 2 digit number Sakib: Is it an odd? Ragib: Yes. Moreover, the sum of ...Read More »
