INTENSITY²

Start here => Games => Topic started by: sg1008 on April 24, 2015, 04:28:30 PM

Title: Math Logic Problem of the Day (no calculators)
Post by: sg1008 on April 24, 2015, 04:28:30 PM
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
Title: Re: Math Logic Problem of the Day (no calculators)
Post by: Icequeen on April 24, 2015, 10:39:59 PM
Quote from: sg1008 on April 24, 2015, 04:28:30 PM
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
Title: Re: Math Logic Problem of the Day (no calculators)
Post by: MLA on April 24, 2015, 11:10:38 PM
42
Title: Re: Math Logic Problem of the Day (no calculators)
Post by: Jack on April 25, 2015, 06:05:37 AM
Quote from: Icequeen on April 24, 2015, 10:39:59 PM
Quote from: sg1008 on April 24, 2015, 04:28:30 PM
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.
Title: Re: Math Logic Problem of the Day (no calculators)
Post by: Icequeen on April 25, 2015, 10:49:30 AM
Quote from: Jack on April 25, 2015, 06:05:37 AM
Quote from: Icequeen on April 24, 2015, 10:39:59 PM
Quote from: sg1008 on April 24, 2015, 04:28:30 PM
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.  :autism:

Don't drink and do math. :wine:
Title: Re: Math Logic Problem of the Day (no calculators)
Post by: sg1008 on April 25, 2015, 07:59:47 PM
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?
Title: Re: Math Logic Problem of the Day (no calculators)
Post by: Yuri Bezmenov on April 25, 2015, 08:18:41 PM
Quote from: sg1008 on April 25, 2015, 07:59:47 PM
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
Title: Re: Math Logic Problem of the Day (no calculators)
Post by: 'andersom' on April 26, 2015, 04:04:18 PM
Indeed 4, because 50mph and 40 mph make for 90 mph to meet on that 360 mile track.