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What is the rightmost digit preceding the zeroes in the value of ?
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Important Questions on Number Systems
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What is the remainder when divides ?
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How many integer values of and are there such that , while ?
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If , where is product of four consecutive positive integers, then which of the following is/are true?
is odd
is not a multiple of
is a perfect square
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How many two-digit numbers less than or equal to , have the product of the factorials of their digits less than or equal to the sum of the factorials of their digits?
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A candidate takes a test and attempts all the questions in it. While any correct answer fetches mark, wrong answers are penalised as follows; one-tenth of the questions carry negative mark each, one-fifth of the questions carry negative marks each and the rest of the questions carry negative mark each. Unattempted questions carry no marks. What is the difference between the maximum and the minimum marks that he can score?
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Amitabh has a certain number of toffees, such that if he distributes them amongst ten children he has nine left, if he distributes amongst children he would have left, if he distributes amongst children he would have left ... and so on until if he distributes amongst children he should have left. What is the second lowest number of toffees he could have with him?
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If a positive integer is subtracted from the squares of three consecutive terms of an Arithmetic Progression, the numbers obtained are respectively. What is the sum of the digits of ?
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How many integers exist such that not only are they multiples of but also are factors of ?
