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Problem analysis

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…

SSC CGL Tier II level Solution Set 22, Ratio proportion 1

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This is the 22nd solution set of 10 practice problem exercise for SSC CGL Tier II exam and 1st on topic Ratio and Proportion. Students should complete the corresponding question set in prescribed time first and then only refer to this solution set for extracting maximum benefits from this resource. The set of 10 problems being a bit more difficult than usual, 15 minutes answering time was given...

How to solve SSC CGL level Profit and loss problems by change analysis in a few steps 6

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In profit and loss problems when price or profit changes by certain percentages, without calculating the actual changed values and just by using the change and its effect, solution can be achieved very fast. We would solve two problems on profit and loss to highlight the power of this technique...

How to solve a SSC CGL level Profit and loss problem with equal sale price in a few steps 5

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We have already treated an interesting type of profit and loss problem with equal sale prices and equal profit and loss figures in two transactions. This session we will be solving such a problem with equal sale prices but with unequal profit and loss percentages very fast and in two ways. We will use basic and rich profit and loss concepts, fraction concepts and mathematical reasoning to achieve the speed and elegance...

SSC CGL level Solution Set 82, Trigonometry 8

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This is the 82nd solution set of 10 practice problem exercise for SSC CGL exam and 8th on topic Trigonometry. Students should complete the corresponding question exercise in prescribed time first and then only refer to this solution set. Some of the solutions needed use of algebraic and trigonometric patterns and methods. Most but not all of the questions could be solved in mind—a few were tricky...

Monkey and the coconuts puzzle with solutions

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An older version of the monkey and the coconuts puzzle was modified by short story writer Ben Williams and published nearly a century ago. From then on the intriguing puzzle attained the status of one of the most attempted and least solved math puzzles of all time. We will present here easily understandable solutions to both using mathematical reasoning and for the modified version using in addition systematic enumeration…

SSC CGL Tier II level Solution Set 16, Geometry 5

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This is the 16th solution set of 10 practice problem exercise for SSC CGL Tier II exam and the 5th on topic Geometry. A few of the problems look simple but deceptively so. In the same way, a few of the problems seem to be quite difficult, but can be solved quickly by identifying key geometric patterns and applying corresponding methods that are based on core concepts...

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