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How many two digit numbers have their squares as more than a multiple of ?
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Important Questions on Number Systems
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There are questions in a test. Each correct answer fetches mark, each wrong answer and unanswered question attract penalty of mark and mark respectively each. Frodo scored marks in the test. What is the minimum possible number of the question wrongly answered by him?
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has exactly digits when converted to base from the decimal system. What is the minimum possible value of ?
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What will be the sum of all natural numbers between which on division by leave remainders respectively?
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Unit digit of which of the following is the same as the units digits of For any positive integer value of ?
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How many Digit numbers are there in the decimal system, which have exactly Digits when expressed in Base , Base , Base ?
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What is the difference between the highest and the least four digit natural numbers that have exactly four digits when expressed in Base and Base .
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If is a natural number, then what is the sum of all the possible distinct remainders when is divided by ?
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If and are natural numbers, then what is the sum of all the possible remainders when is divided by ?
