Question

Question:There's is a new colony established on MARS where you arrive. When you arrive you have been given a rupee note which is of the denomination "K", in other words you have been given a K rupee note. However MARS has its own currency called "Bitcoin". You can exchange K rupees with three notes of denomination k/2 rupees, k/3 rupees and k/4 rupees (rounded to the nearest lowest integer). And each rupee note can be exchanged with Bitcoin of the same denomination. What is the maximum number of bitcoins you can exchange your K rupees for. For example:If you are given a single 12 rupees note, then it can be exchanged for 6 Rupees (1 2/2), 4 Rupees (12/3) and 3 Rupees (12/4) = 13 rupees. 13 rupees can be exchanged with 13 bitcoins hence the maximum number of bitcoins you can exchange for 12 rupee note is 13. In the above example 3 rupees when exchange to 1 rupee (3/2), 1 rupee (3/3) and 0 rupee (3/4) = 2 rupees (3 rupees decreases to 2 rupees when broken down so it is not broken) You are always given a single K rupees note.

Answer 1

Answer:

Maths riddle

Step-by-step explanation:

In the above question we are asked a math riddle that there's is a new colony established on MARS where you arrive. When you arrive you have been given a rupee note which is of the denomination "K", in other words you have been given a K rupee note. However MARS has its own currency called "Bitcoin". You can exchange K rupees with three notes of denomination k/2 rupees, k/3 rupees and k/4 rupees (rounded to the nearest lowest integer). And each rupee note can be exchanged with Bitcoin of the same denomination.

Therefore we can say that here

there is no limit to the maximum you can exchange it for. Since you always round down you will gain bitcoin by converting when your initial amount of rupees is an exact multiple of 3, 4, and 6 (I.e. a multiple of 12). From there you can look at the pattern for the first few multiples of 12 to see that you will end up with K + K/12 bitcoins by converting.

In case of 14 when you break it down you will get the total number of Bitcoin to be 14 . But if you use K+K/12 you get 15 isn't that wrong because according to the question when K is broken down only if the value obtained is greater than the original value of K can you exchange it with that else you have to stick with the original value while exchanging .