MEDIUM
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Earn 100

Let be distinct digits. Consider a two-digit number ‘’ and a three-digit number ‘’ both defined under the usual decimal number system. If and then the value of is:
(a)
(b)
(c)
(d)

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Important Questions on Review Tests - Block I
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The remainder is divided by is:

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Let and be distinct integers, and are odd and positive, and is even and positive. Which one of the following statements can’t be true?

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A boy starts adding consecutive natural numbers starting with . After some time he reaches a total of when he realises that he has made the mistake of double counting number. Find the number double counted.

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In a number system the product of and is . The number of this system, when converted to decimal number system, becomes:

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Atul is given rs. in one rupee denominations. He has been asked to allocate them into a number of bags such that any amount required between Re and can be given by handing out a certain number of bags without opening them. What is the minimum number of bags required?

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Find the number of six-digits numbers that can be formed using the digits once such that the six-digit number is divisible by its unit digit.

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Which is the highest -digit number that divides the number ( times) perfectly without leaving any remainder?

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are positive integral values such that by attaching the coefficients of and to each value available and adding the resultant values, any number from to (both included) could be formed. If are in ascending order, then what is the value of ?
