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Key pattern discovery

10 Digit number puzzle of John Conway with solution

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Find the 10 unique digit number having the special property that the number formed by digits from left to right up to the place for each of the 10 places is divisible by the place number—is a beautiful puzzle presented by John Conway. It is a large and complex puzzle but can be solved using only the basic concepts taught in middle schools…

Farmer with fox, goose and bag of corn crossing the river puzzle

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A farmer must cross a river with his pet fox, goose and bag of corn using a boat that is so small that he can take only one the three with him in a boat trip. Though he is ready to make as many trips as needed, he knows that the fox cannot be left alone with the goose, and the goose cannot be left alone with the corn....

NCERT solutions for class 10 maths Chapter 3 Linear Equations 7 Problem collection

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In this seventh and last part of the series on Pair of linear equations in two variables, solutions to the exercise 3.7 of the third chapter of NCERT solutions on class 10 maths are explained in details. The problem set is challenging, and so for quick and easy solution a few special methods are introduced...

Reverse cheque puzzle solution

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On finally receiving double the amount he wrote in cheque after 20 paise was expended from amount received from bank, Bhabababu understood that the bank cashier must have given rupees for paise written on cheque, and paise for rupees written on cheque. The reversing created a basic confusion in finding the cheque amount...

SSC CGL level Solution Set 51, Algebra 12

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This is the 51st solution set of 10 practice problem exercise for SSC CGL exam and 12th on topic Algebra. For maximum gains, the test should be taken first, that is obvious. But more importantly, to absorb the concepts, techniques and deductive reasoning elaborated through these solutions, one must solve many problems in a systematic manner using this conceptual analytical approach. One can learn well only by practicing learning by doing...

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