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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...
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....
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...
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...
What two digit number is less than the sum of squares of its digits by 11 and exceeds their doubled product by 5?
For quick solution of the 2nd hard number system question for CAT, discover the breakthrough information from the given resources...
The first hard number system question for CAT: How many of the four digit natural numbers divisible by 24 have also 24 appearing in them? Should solve the CAT number system problem under two minutes.
