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Earn 100

How many divisors of 105 will have at least one zero at its end?

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Important Questions on Numbers and Their Properties

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Let V1,V2,V3,,V100 be hundred positive integers such that Vi+Vi+1+Vi+2+Vi+3=K, where K is a constant and i=1,2,3,,97. If V3=9, then what is the value of V99?
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In the abovementioned question, if V5=7, then what is the value of V90?
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What is the largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) for all positive even integers n?
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If k is any natural number, such that 100<K<200, how many values of k exist such that K ! has ' z ' zeroes at its end and (K+2) ! has 'z+2' zeroes at its end?
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Tatto bought a notebook containing 96 leaves and numbered them which came to 192 pages. Tappo tore out the latter 25 leaves of the notebook and added the 50 numbers she found on those pages. Which of the following is not true?
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Twenty-five boxes of sweets are delivered to Mr Roy's home. Mr Roy had ordered three different types of sweets. What is the minimum number of boxes of sweets that are having sweets of same type?
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A warehouse contains 200 shoes of size 8,200 shoes of size 9, and 200 shoes of size 10. Of these 600 shoes, there are 300 left shoes and 300 right shoes. What is the minimum number of usable shoes?
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A teacher was doing some calculation exercise on the blackboard. When the teacher went out, a naughty student Chunmun erased some of the numbers written on the blackboard. Now, it appeared like this

23-5-+164242423

When the teacher entered the room, he realized that still, this calculation was right, but in some other system of writing (i.e., not 10). How many digits are there in that system?