Question
Download Solution PDFWhen a number is divided by 512 it leaves a remainder 67. If the same number is divided by 32, then what will be the remainder?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A number leaves a remainder of 67 when divided by 512.
Formula used:
Number = 512k + 67, where k is an integer.
We need to find the remainder when this number is divided by 32.
Calculations:
512k + 67 mod 32
512 is divisible by 32, so 512k mod 32 = 0.
Now, 67 mod 32 = 67 - (32 × 2) = 67 - 64 = 3.
∴ The remainder when the number is divided by 32 is 3.
Last updated on May 28, 2025
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