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