Question

Find the highest number which will divide 2044 and 3184 leaving the same remainder. Select one: a. 12 b. 1010 c. 1140 d. 1220

Answer 1

Given:

Two numbers 2044 and 3184

To Find:

The highest number which will divide the 2 numbers with the same remainder

Explanation:

4 options are given. We will try one by one till we get the right answer

Solution:

First option - 12

2044 ÷ 12 = 170 R 4

3184 ÷ 12 = 265 R 4

Both number divided by 12 gave the same remainder of 4

Second option - 1010

2044 ÷ 1010 = 2 R 24

3184 ÷ 1010 = 3 R 154

Both number divided by 1010 did not give the same remainder

Third option - 1140

2044 ÷ 1140 = 1 R 904

3184 ÷ 1140 = 2 R 904

Both number divided by 1140 gave the same remainder of 904

Forth option - 1220

2044 ÷ 1022 = 2

3184 ÷ 1022 = 3 R 118

Both number divided by 1022 did not give the same reminder.

Conclusion

Both 12 and 1140 gave the same reminder.

The question asked the highest number.

Therefore, the number is 1140.

Answer: (c) 1140

Answer 2

Answer:

(c) 1140 is ur Answer........