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Find the number of all 3-digit numbers which have remainders 1 and 3 when divided by 4 and 5 (respectively).

 Jan 29, 2023
 #1
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The answer is 53.

 Jan 29, 2023
 #2
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113 , 133 , 153 , 173 , 193 , 213 , 233 , 253 , 273 , 293 , 313 , 333 , 353 , 373 , 393 , 413 , 433 , 453 , 473 , 493 , 513 , 533 , 553 , 573 , 593 , 613 , 633 , 653 , 673 , 693 , 713 , 733 , 753 , 773 , 793 , 813 , 833 , 853 , 873 , 893 , 913 , 933 , 953 , 973 , 993>> Total of all 3-digit numbers =  45

 Jan 29, 2023

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