Latest Elitmus Aptitude Question SOLUTION: what will be the remainder when a four digit prime no. is divided by 12.

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(#M40017824) ELITMUS question QUANTITATIVE APPTITUDE Keep an EYE

what will be the remainder when a four digit prime no. is divided by 12.

Asked In Elitmus PURNIMA (11 years ago)

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Vinay Sipani   (11 years ago)

4 digit prime numbers are of form 12q + r
where q - quotient, r - remainder

possible r = ( 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 )

12q + 2 divisible by 2
12q + 3 divisible by 3
similarly q = 4 , 6 , 8 , 9 , 10 yields composite numbers .

therefore possible remainders = 1 , 5 , 7 , 11

Is this solution Helpfull? Yes (48) | No (2)  

Astha Ameta  (11 years ago)

remainder will be 1

Is this solution Helpfull? Yes (3) | No (2)  

Vinay Sipani   (11 years ago)

Possible remainders = 1 , 5 , 7 , 11

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Kolasani Prudvi  (11 years ago)

the ans is 5 do it for any prime no of four digit

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Anurag Srivastava  (11 years ago)

how VINAY ?? can u explain ?

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Anjali Sadhukhan  (8 years ago)

indeed 5 will be the ans..take any 4 digit number from this source- https://primes.utm.edu/lists/small/10000.txt and try dividing it by 12..and the remainder in each case will be the same...correct me if iam wrong!

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