Math Logic Problem of the Day (no calculators)

[sg1008]

THREAD RULES:
Quote the problem you are replying to.
Try to do each problem in as few steps as possible (no calculator)
If you contribute a problem, make sure you explain the answer >24 hours later, and within a week.
If you contribute a problem, make sure it does not require a calculator.

Here we go....

The Problem
(1,234)² means 1,234 * 1,234; (1,234)³ means 1,234 * 1,234 * 1,234; and so forth. When
(1,234)²³ is completely multiplied out, what will the number be in the ones place?

Answer:

QV had an adequate explanation, so I am borrowing from hers:
4

4 x 4, 16
16 x 4, 64
64 x 4, 256
256 x 4, 1024
1024 x 4, 4096
Follow the pattern.
even exponents will end in 6, odd exponents will end in 4

[Icequeen]

THREAD RULES:
Quote the problem you are replying to.
Try to do each problem in as few steps as possible (no calculator)
If you contribute a problem, make sure you explain the answer >24 hours later, and within a week.
If you contribute a problem, make sure it does not require a calculator.

Here we go....

The Problem
(1,234)² means 1,234 * 1,234; (1,234)³ means 1,234 * 1,234 * 1,234; and so forth. When
(1,234)²³ is completely multiplied out, what will the number be in the ones place?

4

4 x 4, 16
16 x 4, 64
64 x 4, 256
256 x 4, 1024
1024 x 4, 4096
Follow the pattern.
even will be 6, odd will be 4

[MLA]

42

[Jack]

THREAD RULES:
Quote the problem you are replying to.
Try to do each problem in as few steps as possible (no calculator)
If you contribute a problem, make sure you explain the answer >24 hours later, and within a week.
If you contribute a problem, make sure it does not require a calculator.

Here we go....

The Problem
(1,234)² means 1,234 * 1,234; (1,234)³ means 1,234 * 1,234 * 1,234; and so forth. When
(1,234)²³ is completely multiplied out, what will the number be in the ones place?

4

4 x 4, 16
16 x 4, 64
64 x 4, 256
256 x 4, 1024
1024 x 4, 4096
Follow the pattern.
even will be 6, odd will be 4

He didn't ask what will be in the 4's place, but rather the one, so by the logic you've presented, thinking the answer is one, because one times one is one.

[Icequeen]

THREAD RULES:
Quote the problem you are replying to.
Try to do each problem in as few steps as possible (no calculator)
If you contribute a problem, make sure you explain the answer >24 hours later, and within a week.
If you contribute a problem, make sure it does not require a calculator.

Here we go....

The Problem
(1,234)² means 1,234 * 1,234; (1,234)³ means 1,234 * 1,234 * 1,234; and so forth. When
(1,234)²³ is completely multiplied out, what will the number be in the ones place?

4

4 x 4, 16
16 x 4, 64
64 x 4, 256
256 x 4, 1024
1024 x 4, 4096
Follow the pattern.
even will be 6, odd will be 4

He didn't ask what will be in the 4's place, but rather the one, so by the logic you've presented, thinking the answer is one, because one times one is one.

I was thinking ones, tens, hundreds, and the four would be in the ones place. 

Don't drink and do math.

[sg1008]

BEST STRATEGY WINS! (solve this problem with the best, simplest strategy to win)

The Problem
A train leaves Rock City at an average speed of 50 miles per hour and heads for Gnome
City. Another train leaves Gnome City at an average speed of 40 miles per hour and
heads for Rock City. If the route is 360 miles long, how many hours will it take for the 2
trains to meet?

[Yuri Bezmenov]

BEST STRATEGY WINS! (solve this problem with the best, simplest strategy to win)

The Problem
A train leaves Rock City at an average speed of 50 miles per hour and heads for Gnome
City. Another train leaves Gnome City at an average speed of 40 miles per hour and
heads for Rock City. If the route is 360 miles long, how many hours will it take for the 2
trains to meet?

4

200+160

['andersom']

Indeed 4, because 50mph and 40 mph make for 90 mph to meet on that 360 mile track.