A number. if it is divided by 2 reminder 1,
if it is divided by 3 reminder 1,
if it is divided by 4 reminder 1,
if it is divided by 5 reminder 1,
if it is divided by 6 reminder 1,
if it is divided by 7 reminder 1,
if it is divided by 8 reminder 1,
if it is divided by 9 reminder 1,
if it is divided by 10 reminder 1,
and if it is divided by 11 reminder 0.
its greater then 100. which is that number.
this puzzle has been appeared in one of written
test(aptitude for 20 marks).
Answers were Sorted based on User's Feedback
Answer / ankit tyagi
The answer is the LCM of nos {1,2,3,4,5,6,7,8,9,10} * K + 1
'K' is an integer > 0 and has to be chosen in such a way that the expression is divisible by 11 . LCM of the nos come out to be 2520. Thus, minimum value of 'K' for validation of constraints is 10.
Hence the Answer is : 25201
Is This Answer Correct ? | 13 Yes | 3 No |
Answer / foisol
The LCM of 2,3,4,5,6,7,8,9,10 is 2520. Any number that is
divisible by all the above numbers must be a multiplier of
2520.
The smallest number divisible by 11 but yields a remainder
of 1 if divided by 2520 is:
2520 * 10 + 1 = 252001 hence that is the answer.
Is This Answer Correct ? | 9 Yes | 6 No |
Answer / shona
The LCM of 2,3,4,5,6,7,8,9,10 is 2520. But its not divisible
by 11. So take a multiple of 2520.
Take 2520*2 = 5040. Now add 1, its 5041.But its not
divisible by 11.
.
.
.
and so on...
2520 * 10 + 1 = 25201, its divisible by 11.
therefore the required answer is 25201.
Is This Answer Correct ? | 3 Yes | 0 No |
Answer / shri1609
32659201 is wrong.. if u divide by 11 reminder should be 0
Is This Answer Correct ? | 4 Yes | 2 No |
Answer / sharath
its 3628799
the logic to get this no is quite simple
2*3*4*5*6*7*8*9 -1
Is This Answer Correct ? | 2 Yes | 0 No |
Answer / coolaq7
The LCM of 2,3,4,5,6,7,8,9,10 is 2520. Any number that is
divisible by all the above numbers must be a multiplier of
2520.
The smallest number divisible by 11 but yields a remainder
of 1 if divided by 2520 is:
2520 * 10 + 1 = 252001
Is This Answer Correct ? | 1 Yes | 0 No |
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