Test time left: 38:36Choose the correct option.A number divided by 68 gives the quotient 269 and remainder zero. If the same number is divided by 67, the remainder is :Options1023

To find the remainder when a number is divided by a divisor, we can use the concept of modular arithmetic. In this case, we are given that a number divided by 68 gives a quotient of 269 and a remainder of zero. This can be written as:

Number = 68 * 269 + 0

Now, we need to find the remainder when the same number is divided by 67. We can use the same concept and write it as:

Number = 67 * Quotient + Remainder

Since the remainder when divided by 68 is zero, we can substitute the value of the number from the first equation into the second equation:

68 * 269 + 0 = 67 * Quotient + Remainder

Simplifying this equation, we get:

18292 = 67 * Quotient + Remainder

To find the remainder, we need to subtract the largest multiple of 67 that is less than 18292. By dividing 18292 by 67, we get a quotient of 273 and a remainder of 1. Therefore, the remainder when the same number is divided by 67 is 1.

So, the correct option is 1.