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 Aptitude  |  Question 9 of 135    Print  

what is the 5 digit number which has only 2 prime numbers in it and satisfies the following
condition.
a. 3rd digit is the largest
b. 2nd digit is the smallest
c. 1st digit is one less than the 3rd digit and greater than the
addition 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




  
Total Answers and Comments: 8 Last Update: August 23, 2007   
  
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September 26, 2005 06:23:09   #1  
naina        

RE: what is the 5 digit number which has only 2 pri...

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.


 
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September 27, 2005 03:23:10   #2  
pravin        

RE: what is the 5 digit number which has only 2 pri...
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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September 27, 2005 03:24:50   #3  
pravin        

RE: what is the 5 digit number which has only 2 pri...
sry the answer is correct 2 and 7 are prime numbers
 
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September 28, 2005 12:15:45   #4  
suku        

RE: what is the 5 digit number which has only 2 pri...

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


 
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February 23, 2006 14:52:56   #5  
vinay karalkar        

RE: what is the 5 digit number which has only 2 pri...

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


 
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November 04, 2006 16:10:07   #6  
dinesh        

RE: what is the 5 digit number which has only 2 pri...
ans : 63742 (sure) and 37 happens to be my lucky number.
 
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June 07, 2007 14:25:44   #7  
rohit.innova Member Since: June 2007   Contribution: 1    

RE: what is the 5 digit number which has only 2 pri...
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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August 23, 2007 11:48:34   #8  
Mrinal Kumar        

RE: what is the 5 digit number which has only 2 pri...
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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