Latest CAT Aptitude Question SOLUTION: total number of numbers lying in range of 1331 and 3113 which are neither divisible by 2,3 or 5

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total number of numbers lying in range of 1331 and 3113 which are neither divisible by 2,3 or 5

Asked In CAT nupur adlakha (11 years ago)

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DHIMAN MANDAL  (11 years ago)

divisible by 2 betwen two numbers is =(3113-1331)/2=891
divisible by 3 betwen two numbers is =(3113-1331)/3=594
divisible by 5 betwen two numbers is =(3113-1331)/5=356
divisible by 6 betwen two numbers is =(3113-1331)/6=297
divisible by 10 betwen two numbers =(3113-1331)/10=178
divisible by 15 betwen two numbers is =(3113-1331)/15=118
divisible by 30 betwen two numbers is =(3113-1331)/30=59

total number between above two number divisible by either 2 or 3 or 5 is
891+594+356-178-297-118+59=1307
so total number not divisible neither by 2 or 3 or 5 is(3113-1331)-1307=475

Is this solution Helpfull? Yes (8) | No (1)  

DHIMAN MANDAL  (11 years ago)

second answer is not correct..answer is 475

Is this solution Helpfull? Yes (3) | No (1)  

DHIMAN MANDAL  (11 years ago)

divisible by 2 betwen two numbers is =(3113-1331)/2=891
divisible by 3 betwen two numbers is =(3113-1331)/3=594
divisible by 5 betwen two numbers is =(3113-1331)/5=356
divisible by 10 betwen two numbers =(3113-1331)/10=178
divisible by 15 betwen two numbers is =(3113-1331)/15=118
divisible by 30 betwen two numbers is =(3113-1331)/30=59

total number between above two number divisible by either 2 or 3 or 5 is
891+594+356-178-118+59=1604
so total number not divisible neither by 2 or 3 or 5 is(3113-1331)-1604=178

Is this solution Helpfull? Yes (2) | No (5)  

Abhishek Nigam  (10 years ago)

divisible by 2 between two numbers is =(3112-1332)/2=890 + 1 = 891
divisible by 3 between two numbers is =(3111-1332)/3=593 + 1 = 594
divisible by 5 between two numbers is =(3110-1335)/5=355 + 1 = 356
divisible by 6 between two numbers is =(3108-1332)/6=296 + 1 = 297
divisible by 10 between two numbers is =(3110-1340)/10=177 + 1 = 178
divisible by 15 between two numbers is =(3105-1335)/15=118 + 1 = 119
divisible by 30 between two numbers is =(3090-1350)/30=58 + 1 = 59

891+594+356-178-297-119+59=1306
number between 1331 and 3113 = 1783
.: 1783 - 1306 = 477

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