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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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)
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 .
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Answer / gaurav bapat
There are 3 such 5 digit numbers
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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.
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