(integer) What is the remainder when 7442 is divided by 10?
A. 1 B. 3 C. 5 D. 7 E. 9
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(integer) What is the remainder when 7^442 is divided by 10?
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Max@Math Revolution
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Last edited by Max@Math Revolution on Sat Sep 24, 2016 9:23 pm, edited 1 time in total.
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Brent@GMATPrepNow
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Are you sure you've correctly transcribed the question? As it stands, the correct answer is 2Max@Math Revolution wrote:(integer) What is the remainder when 7442 is divided by 10?
A. 1 B. 3 C. 5 D. 7 E. 9
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Max@Math Revolution
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==> From, ~71=~7, ~72=~9, ~73=~3, ~74=~1, the first digit has a cycle of ^4 in the order of 7-->9-->3-->1-->7. If so, from 442=4*110+2 you get the remainder of 2, and you get 7442=74*110+2=~72=~9. Hence, the answer is E.
Answer: E
- Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
Answer: E
- Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
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Brent@GMATPrepNow
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Once you post a question/reply, you might consider checking the post to ensure that the formatting is correct.Max@Math Revolution wrote:==> From, ~71=~7, ~72=~9, ~73=~3, ~74=~1, the first digit has a cycle of ^4 in the order of 7-->9-->3-->1-->7. If so, from 442=4*110+2 you get the remainder of 2, and you get 7442=74*110+2=~72=~9. Hence, the answer is E.
Answer: E
- Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
I believe that 71, 72, 73 etc are meant to be expressed as 7^1, 7^2, 7^3 etc
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Brent
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regor60
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Once again, and I'm not trolling, you've posed an improperly expressed problem.Max@Math Revolution wrote:==> From, ~71=~7, ~72=~9, ~73=~3, ~74=~1, the first digit has a cycle of ^4 in the order of 7-->9-->3-->1-->7. If so, from 442=4*110+2 you get the remainder of 2, and you get 7442=74*110+2=~72=~9. Hence, the answer is E.
Answer: E
- Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
In other words, this isn't the first time.
You hold yourself out as a math "expert", but your expertise seems to lie in wasting people's time.
