Directions: Numbers arrangement machine when given an input line of numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement.
Input: 582619 825691 368133 473592 157349
619074
Step I: 544611 445611 964199 699514 159961
611096
Step II: 422300 224300 832088 388402 048830
300083
Step III: 513210 315210 923097 479311 139740
401092
Step IV: 01155 01137 23799 11347 01347
01249
Step V: 12 12 26 08 07 04
Step V is the last step.
Input: 697321 560921 482273 769052 861469
298754
4) How many numbers are there between “06” and “00” in Step V?
A. One
B. None
C. Three
D. Four
E. Two
Sol:
Step 1: The unit digit of the square value of each digit of the number is replaced by the original
digit. For example–>92=81–>1 is a unit digit that replaced the number 9. In the case of one digit
square value, then the digit is replaced by its square value.
Step 2: The odd digits are subtracted by 1 and even digits are divided by 2. Zero will remain as
it is.
Step 3: ‘1’ is added to the odd positioned digits (from the left end) and ‘1’ is subtracted from the
even positioned digits (from the left end). If 1 is added to zero it will be 1 but if 1 is subtracted from 0 it will be zero.
Step4: The middle two digits are added, if the result is two-digit again it will be added within the
number and all digits are arranged in ascending order within the number from the left end.
For example ->409730 ->9+7=16 ->1+6=7 ->00347
Step5: The difference between the sum of even numbers and the sum of odd numbers.
Input: 697321 560921 482273 769052 861469
298754
Step I: 619941 560141 644499 961054 461661
414956
Step II: 308820 430020 322288 830042 230330
202843
Step III: 409730 521030 413197 921051 321240
303752
Step IV: 00347 01235 14479 11259 02334
01235
Step V: 06 07 09 14 00 07
