What is the 5 digit number which has only 2 prime numbers in it and satisfies the followingcondition.a. 3rd digit is the largestb. 2nd digit is the smallestc. 1st digit is one less than the 3rd digit and greater than theaddition of 4th and 5th digit.d. 5th digit is between the 1st and 2nd digit and half of the 4th digit.1 is not considered as the prime number. 

71842

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naina

  • Sep 26th, 2005
 

2nd digit is the smallest
so it must be 1.

3rd digit is the largest
so it can be 9 and the first digit is 8.

1st digit is greater than the
addition of 4th and 5th digit.
so it can be 1,2;2,1;3,4;4,3;2,3;3,2;2,4;4,2  but 5th digit is between the 1st and 2nd digit and half of the 4th digit so it can be 4 and 2 and so we should  have  1 more prime no.

so the third digit cannot be 9 it should be 8 and the first digit is 7.

so the number is 71842.

pravin

  • Sep 27th, 2005
 

as said in question 1 is not considered as prime number so i think the 7 is only prime number present in the ans

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pravin

  • Sep 27th, 2005
 

sry the answer is correct 2 and 7 are prime numbers

suku

  • Sep 28th, 2005
 

why cant it be 70842?,if i consider 0 as the smallest number?

vinay karalkar

  • Feb 23rd, 2006
 

70821 is also possible

1)7,2 only 2 prime nos, 0 is not considered as prime as divisible by any number  with remainder 0

2)1st digit 7 is 1 less than 3rd i e 8

3)3rd digit is largest =8

4)1st digit 7> sum of 4th and 5th i e 2+1=3

5)5th digit 1 is between 1st and 2nd i e betn 7 and 0

6)2nd digit is smallest i e 0

dinesh

  • Nov 4th, 2006
 

ans : 63742 (sure) and 37 happens to be my lucky number.

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60721 is also ans
3rd digit largest=7
second digit smallest =0
1st digit ==(3rd dgt-1) && (6 is >2+1)
5th dgt is 1  0<1<6
5th dgt is half of 4th digit

7,2 are 2 prime nos 1 is not prime acc to problem

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Mrinal Kumar

  • Aug 23rd, 2007
 

Considering 1 as the least digit in the no,only possible solution is :-

71842

Considering 0 as the least digit in the no, possible solutions can be:-

70821
60721
50621


Plz correct me if did any mistake!!!

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aminath latheefa

  • Nov 16th, 2015
 

As said in Question 1 is not considered as prime number so I think the 7 is only prime number present in Ans

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