Systematic problem solving | SureSolv

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Systematic problem solving

How many addition signs needed to get the sum of 99 and two similar puzzles

Submitted by Atanu Chaudhuri on Thu, 14/01/2021 - 23:47

thumb how many addition signs needed to make sum 99 puzzle

How many addition signs are to be placed between the digits of number 987654321 to get a total of 99, and where should they be placed? Time limit 10 minutes. In part 2 and 3 of the puzzle, use digits 1 to 9 each only once to form numbers sum of which is 99. Part 2: how many ways can you do it? Part 3: find the number of ways this can be done using minimum number of addition signs. For the last two parts of the puzzle there is no time limit...

Move 3 matches to take the cherry out of wine glass and move 2 matches to take the cherry out - pair of matchstick puzzles

Submitted by Atanu Chaudhuri on Mon, 11/01/2021 - 23:54

thumb move 3 matches take out cherry in wine glass matchstick puzzle

Solve two puzzles both to take the cherry out of wine glass by moving matchsticks. In the first matchstick puzzle, take out the cherry by moving 3 matches and in the second moving 2 matches. Time to solve 1st puzzle 5 minutes and the second 20 minutes. Try your hand, this will be fun...

Move 2 matchsticks to make 6 squares and move 8 matchsticks to make 6 squares - a pair of matchstick puzzles

Submitted by Atanu Chaudhuri on Sun, 10/01/2021 - 22:10

thumb move 2 matches to make 6 squares matchstick puzzle

Solve two puzzles, both to form a 6 square matchstick figure. In the first puzzle, form the 6 squares by moving 2 matches and in the second puzzle moving 8 matches. Time to solve both puzzles is 10 minutes. Solve by thinking in radically new way...

How to solve a hard number system question for CAT confidently and quickly 8

Submitted by Atanu Chaudhuri on Fri, 08/01/2021 - 22:55

thumb how to solve hard cat number system problem confidently 8

The leftmost digit of a natural number at least 7 digit long is 3. When the leftmost digit is dropped, the number formed by the rest of the digits becomes $\frac{1}{5}$th of the original number. What is the product of the non-zero digits of the original number?

Hint: Solve this 8th hard number system question for CAT using the very basic concepts intelligently.

How to solve a hard number system question for CAT confidently and quickly 7

Submitted by Atanu Chaudhuri on Wed, 06/01/2021 - 22:12

thumb how to solve hard cat number system problem confidently and quickly 7

Cube of a number exceeds its product with two other numbers by 2, the cube of the second number is less than their product by 3 and the cube of the third exceeds their product by 3. Find the lowest of the three numbers.

Solve this 7th hard number system question for CAT quickly by mathematical reasoning based on indices concepts and inequality analysis.

How to solve a hard number system question for CAT confidently and quickly 6

Submitted by Atanu Chaudhuri on Tue, 05/01/2021 - 20:50

thumb how to solve hard cat number system problem confidently 6

The product of a two digit number and a second number formed by reversing the digits of the first is 2430. Find the lower number. In solving this 6th hard number system question for CAT, mathematical reasoning based on factors multiples concept provided quick systematic solution...

How to solve a hard number system question for CAT confidently and quickly 5

Submitted by Atanu Chaudhuri on Mon, 04/01/2021 - 12:24

thumb how to solve hard cat number system problem confidently 5

If 495 is subtracted from a 3-digit number with its digits reversed, result will be the original number. Sum of the digits of the number is 12 and sum of all pairwise products of its digits is 41. Find the number.

For quick solution of the 5th hard number system question for CAT, limit the possible values of the digits by identifying breakthrough conditions and enumeration using the given conditions....

How to solve a hard number system question for CAT confidently and quickly 4

Submitted by Atanu Chaudhuri on Sun, 03/01/2021 - 22:14

thumb how to solve hard cat number system problem confidently 4

The sum of thousands and tens digits in a 4 digit number is 4, the sum of hundreds and units digit is 15, and units digit is greater than the thousands digit by 7. Among all such numbers satisfying these conditions, find the number, the sum of product of whose thousands digit and units digit and hundreds digit and tens digit is the least.

For quick solution of this 4th hard number system question for CAT limit the possible values of the digits by variable linking of the conditions...

How to solve a hard number system question for CAT confidently and quickly 3

Submitted by Atanu Chaudhuri on Sun, 03/01/2021 - 16:15

thumb how to solve hard cat number system problem confidently 3

Denominator of a fraction is less than the square of the numerator by 1. If 2 is added to both, the fraction will be more than $\frac{1}{3}$. And when 3 is subtracted from both, the fraction remains positive and is smaller than $\frac{1}{10}$. Find the fraction.

For quick solution of this 3rd hard number system question for CAT, explore deeply inequality analysis and inequality algebra...

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