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TELL ME A FIVE DIGIT NUMBER WHEN DIVIDED BY 2 TO 10
REMAINDER IS 1 AND WHEN DIVIDED BY 11 REMINDER IS 0.
i.e.., FIVE DIGIT NUMBER DIVIDED BY 2 GIVES REMINDER OF 1,
FIVE DIGIT NUMBER DIVDED BY 3 GIVES REMINDER OF 1 AND SO ON
TILL 10, THEN THE SAME FIVE DIGIT NUMBER DIVIDED BY 11
GIVES A REMINDER OF ZERO.

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TELL ME A FIVE DIGIT NUMBER WHEN DIVIDED BY 2 TO 10 REMAINDER IS 1 AND WHEN DIVIDED BY 11 REMINDER..

Answer / arthi

Lets say the number is x.

X-1 is divisible by all numbers from 1 to 10.

To find the smallest number that satisfies x, find the LCM - lowest common multiple - of 1 to 10. (hope you know to find it)

=2*3*2*5*7*2*3=2520

but 2520 is only 4 digits, so we need to find a multiple of 2520, so that when you add 1 it is divisible by 11 ie

2520*a + 1 = 11*y

by trial and error, you find that a is 10, so the number is 2520*10 +1 = 25201 .

Leave a comment please.

Is This Answer Correct ?    5 Yes 0 No

TELL ME A FIVE DIGIT NUMBER WHEN DIVIDED BY 2 TO 10 REMAINDER IS 1 AND WHEN DIVIDED BY 11 REMINDER..

Answer / gaurav bapat

There are 3 such 5 digit numbers

25201
52921
80641

Is This Answer Correct ?    2 Yes 1 No

TELL ME A FIVE DIGIT NUMBER WHEN DIVIDED BY 2 TO 10 REMAINDER IS 1 AND WHEN DIVIDED BY 11 REMINDER..

Answer / arthi

Good work Gaurav. I stopped at the first valid one.

It would depend on the nature of the question, whether they need all the numbers, or at least one.

Is This Answer Correct ?    0 Yes 0 No

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