Question

A number when divided by 35 leaves a remainder 3. When the same number is divided by Select one: O a. O O b. 1 O c. 2 O d. 3 e​

Answer 1

Answer:

it might be (c) 2 O

not sure

Answer 2

A number when divided by 35 leaves a remainder 3. When the same number is divided by 7, the remainder will still be 3. (Option d)

• The initial number must be of the form n = 35d + 3, which means that 35 is multiplied by d to provide a residual r of 3.
• When you divide n by 7, you get n = 7(5d) + 3, which means that 7 enters into n 5d times and leaves a 3.
• What about the question in reverse? Is it true that if a number n is divided by 7 and the remaining is 3, the remainder must also be 3 when n is divided by 35?
• Consider the following numbers: 10, 17, 24, 31, 38, 45, 52, and so on; each is exactly 7 higher than the one before it. When each is divided by 7, the remainder is three. When each of these integers is multiplied by 35, the result is 3.
• Thus, if a number has a 3 residual when divided by 7, it may also have a 3 remaining when divided by 35.

The question is incomplete. The complete question is :

A number when divided by 35 leaves a remainder 3. When the same number is divided by 7, the remainder will be?

(a) 0 (b) 1 (c) 2 (d) 3