Warning: include(): https:// wrapper is disabled in the server configuration by allow_url_include=0 in /home/illumina/public_html/TestInsta/includes/sidebar.php on line 212
Warning: include(https://illuminateminds.com/TyariOnline/includes/placement.php): Failed to open stream: no suitable wrapper could be found in /home/illumina/public_html/TestInsta/includes/sidebar.php on line 212
Warning: include(): Failed opening 'https://illuminateminds.com/TyariOnline/includes/placement.php' for inclusion (include_path='.:/opt/remi/php84/root/usr/share/pear:/opt/remi/php84/root/usr/share/php:/usr/share/pear:/usr/share/php') in /home/illumina/public_html/TestInsta/includes/sidebar.php on line 212
Warning: include(): https:// wrapper is disabled in the server configuration by allow_url_include=0 in /home/illumina/public_html/TestInsta/includes/sidebar.php on line 279
Warning: include(https://illuminateminds.com/TyariOnline/includes/randomlinks.php): Failed to open stream: no suitable wrapper could be found in /home/illumina/public_html/TestInsta/includes/sidebar.php on line 279
Warning: include(): Failed opening 'https://illuminateminds.com/TyariOnline/includes/randomlinks.php' for inclusion (include_path='.:/opt/remi/php84/root/usr/share/pear:/opt/remi/php84/root/usr/share/php:/usr/share/pear:/usr/share/php') in /home/illumina/public_html/TestInsta/includes/sidebar.php on line 279
Quiz Begins Here
Q #1
⏰ :
CAT FACTORIAL BASE 6 BASE 8 MATH
Warning: Undefined array key "di" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 179
A number n! is written in base 6 and base 8 notation. Its base 6 representation ends with 10 zeroes. Its base 8 representation ends with 7 zeroes. Find the smallest n that satisfies these conditions. Also find the number of values of n that will satisfy these conditions. Warning: Undefined array key "qi" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 188
Warning: Undefined array key "coi" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 194
Warning: Undefined array key 4 in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 281
Warning: Undefined array key "si" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 321
Q #2
⏰ :
CAT Factorial, factors
Warning: Undefined array key "di" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 440
Given N is a positive integer less than 31, how many values can n take if (n + 1) is a factor of n!? Warning: Undefined array key "qi" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 450
Warning: Undefined array key "coi" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 456
Warning: Undefined array key 4 in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 543
Warning: Undefined array key "si" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 583
Q #3
⏰ :
CAT Factorials - basic
Warning: Undefined array key "di" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 699
How many values can natural number n take, if n! is a multiple of 76, but not 79,? Warning: Undefined array key "qi" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 709
Warning: Undefined array key "coi" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 715
Warning: Undefined array key 4 in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 802
Warning: Undefined array key "si" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 842
Q #4
⏰ :
CAT Factorials - basic
Warning: Undefined array key "di" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 959
How many values can natural number n take, if n! is a multiple of 220, but not 320? Warning: Undefined array key "qi" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 969
Warning: Undefined array key "coi" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 975
Warning: Undefined array key 4 in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 1062
Warning: Undefined array key "si" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 1102
Q #5
⏰ :
CAT Factorials - Trailing zeroes
Warning: Undefined array key "di" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 1218
How many trailing zeroes (zeroes at the end of the number) does 60! have? Warning: Undefined array key "qi" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 1228
Warning: Undefined array key "coi" in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 1234
Warning: Undefined array key 4 in /home/illumina/public_html/TestInsta/cat/factorials/index.php on line 1321