A number being divided by 52 gives remainder 45. If the number is divided by…
2019
A number being divided by 52 gives remainder 45. If the number is divided by 13, the remainder will be:
- A.
5
- B.
6
- C.
7
- D.
12
- E.
None of these
Attempted by 104 students.
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Correct answer: B
Let the number be N. Given that when N is divided by 52, the remainder is 45. So, we can write N = 52k + 45 for some integer k.
Now, we need to find the remainder when N is divided by 13. Substitute N: N = 52k + 45.
Divide N by 13: (52k + 45) ÷ 13 = 52k ÷ 13 + 45 ÷ 13.
Since 52 ÷ 13 = 4, 52k ÷ 13 = 4k, which is an integer. So, the remainder comes only from 45 ÷ 13.
Now, 13 × 3 = 39, and 45 - 39 = 6. So, 45 ÷ 13 gives remainder 6.
Therefore, the remainder when N is divided by 13 is 6.
हिन्दी उत्तर: माना संख्या N है। 52 से भाग देने पर शेषफल 45 है, अतः N = 52k + 45 होगा। अब N को 13 से भाग देने पर, (52k + 45) ÷ 13 = 4k + 45/13। 52k ÷ 13 = 4k पूर्णांक है, इसलिए शेषफल 45 ÷ 13 से आता है। 13 × 3 = 39, 45 - 39 = 6। अतः शेषफल 6 है।