What is the smallest whole number that, when divided by 2,
leaves a remainder of 1; when divided by 3, leaves a
remainder of 2; and so on, up to leaving a remainder of 9
when divided by 10?

Answers were Sorted based on User's Feedback

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

2519

 Is This Answer Correct ? 70 Yes 8 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

Ans. is 2519.

we have to multiply all numbers from 2-10 keeping aside
common number.

i.e.
2*3*4*5*7*3 = 2520
6 is left b'coz 2*3 is 6
9 = 3*3 hence, 3 is taken twice.

At last 2520-1.

 Is This Answer Correct ? 29 Yes 10 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

smallest number is L.C.M(2,3,4,5,6,7,8,9,10)-1

 Is This Answer Correct ? 16 Yes 6 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

According to the question when the number is divided by 2,3,..10 leaves remainder 1,2,...9 respectively. It means that if we increase the that number by 1 then it is divisible by each of the numbers 2,3,..10.

So, find a number that is common divisor of 2,3,4,...and 10.
And subtract 1 from it.

LCM of 2,3,..10 is 2520.
2520-1 = 2519

thus, 2519 is the required number.......

 Is This Answer Correct ? 11 Yes 2 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

2519

The ans is correct but still searching how to arrive at ans.

 Is This Answer Correct ? 12 Yes 7 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

2519/10=251 @ 9
2519/9=279 @ 8
/8=312 @ 7
/7=358 @ 6
/6=419 @ 5
/5=503 @ 4
/4=629 @ 3
/3=839 @ 2
/2=1259 @ 1

so that the answer should be 2519

 Is This Answer Correct ? 9 Yes 4 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

First take LCM of 2,3,4,...upto 10
Now when the number is divided and the results are compared with each other,it leaves 1 in each case.

So at last 2520-1=2519 is the answer.

 Is This Answer Correct ? 3 Yes 2 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

19

 Is This Answer Correct ? 1 Yes 3 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

479

 Is This Answer Correct ? 0 Yes 2 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

29

 Is This Answer Correct ? 0 Yes 2 No

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