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Earn 100

Let a, b, c be distinct digits. Consider a two-digit number ‘ab’ and a three-digit number ‘ccb’ both defined under the usual decimal number system. If (ab)2=ccb and ccb>300 then the value of b is:

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Important Questions on Review Tests - Block I

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Let x, y and z be distinct integers, x and y are odd and positive, and z 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 1. After some time he reaches a total of 1000 when he realises that he has made the mis­take of double counting 1 number. Find the number double counted.
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In a number system the product of 44 and 11 is 3414. The number 3111 of this system, when converted to decimal number system, becomes:
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Atul is given 158 rs.  in one rupee denominations. He has been asked to allocate them into a number of bags such that any amount required between Re 1 and 158 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 1, 2, 3, 4, 5, 6 once such that the six-digit number is divisible by its unit digit.
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Which is the highest 3-digit number that divides the number 11111....1(27 times) perfectly without leaving any remainder?
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W1, W2, ...., W7 are 7 positive integral values such that by attaching the coefficients of +1, 0 and -1 to each value available and adding the resultant values, any number from 1to 1093 (both included) could be formed. If W1, W2, ...., W7are in ascending order, then what is the value of W3?