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When I distribute some chocolates to my 40 students, three chocolates will be left. If I distribute the same number of chocolates to my students and my colleague Manoj Dawrani, seven chocolates are left. Find the minimum number of chocolates I have.

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Important Questions on Numbers and Their Properties

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The LCM of two numbers is 114 times their HCF. If the sum of LCM and HCF is 2300 and one of the numbers is 380. Find the other number.

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101010194 digits is a 94-digit number. What will be the remainder obtained when this number is divided by 375?
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Chandrabhal adds first N natural numbers and finds the sum to be 1850. However, actually, one number was added twice by mistake. Find the difference between N and that number.
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When I distribute a packet of chocolates to 7 students, I am left with 4 chocolates. When I distribute the same packet of chocolates to 11 students, I am left with 6 chocolates. How many chocolates will be left with me if I distribute the same packet of chocolates among 13 students (a packet of chocolate contains a total number of N chocolates, where 1000<N<1050) ?
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How many prime numbers are there between 80 and 105 ?
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If x and y are consecutive natural numbers in an increasing order, then which of the following is always true?
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What is the remainder when 579 is divided by 7?
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The LCM of two natural numbers is 590 and their HCF is 59. How many sets of values are possible?