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What can’t you see, hear or feel, until it’s too late. What shadows love, and shopkeepers hate?
Answer: thief
Solution:
How long the scooter Tyre run?
Answer: 7.5 KM
Solution:
First run 2.5 km and change the 1st tyre with stepney. Now kms remains in 1st Tyre: 2.5 km, 2nd tyre: 2.5 km, Stepney : 5 km
Again run for 2.5 km and this time change 2nd tyre with 1st tyre: Now kms remains 1st tyre: 2.5 km, 2nd tyre :0 km ,stepney : 2.5 km.
Now run 2.5 km with remaining 1st tyre and stepney .
Total: 2.5+2.5+2.5=7.5
First run 2.5 km and change the 1st tyre with stepney. Now kms remains in 1st Tyre: 2.5 km, 2nd tyre: 2.5 km, Stepney : 5 km
Again run for 2.5 km and this time change 2nd tyre with 1st tyre: Now kms remains 1st tyre: 2.5 km, 2nd tyre :0 km ,stepney : 2.5 km.
Now run 2.5 km with remaining 1st tyre and stepney .
Total: 2.5+2.5+2.5=7.5
When the celebrated German mathematician Karl Friedrich Gauss (1777-1855) was nine he was asked to add all the integers from 1 through 100. He quickly added 1 to 100, 2 to 99, and so on for 50 pairs of numbers each adding to 101. Answer: 50 X 101=5,050. What is the sum of all the digits in integers from 1 through 1,000,000,000? (That’s all the digits in all the numbers, not all the numbers themselves.)
Answer: The numbers can be grouped by pairs: 999,999,999 and 0; 999,999,998 and 1' 999,999,997 and 2; and so on.... There are half a billion pairs, and the sum of the digits in each pair is 81. The digits in the unpaired number, 1,000,000,000, add to 1. Then: (500,000,000 X 81) + 1= 40,500,000,001.
Solution:
Show Answer
The numbers can be grouped by pairs:
999,999,999 and 0;
999,999,998 and 1′
999,999,997 and 2;
and so on….
There are half a billion pairs, and the sum of the digits in each pair is 81. The digits in the unpaired number, 1,000,000,000, add to 1. Then:
(500,000,000 X 81) + 1= 40,500,000,001.
Show Answer
999,999,999 and 0;
999,999,998 and 1′
999,999,997 and 2;
and so on….
There are half a billion pairs, and the sum of the digits in each pair is 81. The digits in the unpaired number, 1,000,000,000, add to 1. Then:
(500,000,000 X 81) + 1= 40,500,000,001.


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