Question
Ms. Santiago has many pens in her desk drawer. She says that if you divide the total number of pens by 1, 2, 3, 4, 5, or 6, you get a remainder of 1. What is the least number of pens that could be in ms. Santiago's drawer,
Answers
Reiny
Flaw in your question.
No number divided by 1 leaves a remainder of 1
since every number divides evenly by 1
divided by 2 leaving a remainder of 1:
1 , 3, 5, 7, 9, .... all odd numbers
divided by 3 leaving a remainder of 1:
1, 4, 7, 10, 13, 16, .....61 ....
divided by 4 leaves a remainder of 1:
1 , 5, 9, 13, 17, 21, ....61 ....
divided by 5 leaves a remainder of 1:
1, 6, 11, 16, 21, 26, 31, .... 61 ....
divided by 6 leaves a remainder of 1:
1, 7, 13, 19, ..... . 61 ....
looks like 61 , except the division by 1 part.
OR
LCM of 2,3,4,5 is 60
to have remainder of 1 for all
60 + 1 = 61
No number divided by 1 leaves a remainder of 1
since every number divides evenly by 1
divided by 2 leaving a remainder of 1:
1 , 3, 5, 7, 9, .... all odd numbers
divided by 3 leaving a remainder of 1:
1, 4, 7, 10, 13, 16, .....61 ....
divided by 4 leaves a remainder of 1:
1 , 5, 9, 13, 17, 21, ....61 ....
divided by 5 leaves a remainder of 1:
1, 6, 11, 16, 21, 26, 31, .... 61 ....
divided by 6 leaves a remainder of 1:
1, 7, 13, 19, ..... . 61 ....
looks like 61 , except the division by 1 part.
OR
LCM of 2,3,4,5 is 60
to have remainder of 1 for all
60 + 1 = 61
Bloom
Pooped head
sanaa
the answer is 61
Nataly
The answer is 61
Someone
I don't get how 61 ÷2‚ 3‚ 4‚ 5‚ or 6 would equal 1 because 61 divided by 2=30.1 61÷3 = 30.33333333 61÷4=15.25 61÷5=12.2 and 61÷6=10.16666667
Liz
The answer is 61!!!!!!!!!!!!!!!!
6ix9ine
61
Aravind
Just take lcm and add 1 to it