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The product P of two prime numbers is between 9 and 55. If one of the
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26 Nov 2016, 02:11
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Re: The product P of two prime numbers is between 9 and 55. If one of the
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26 Nov 2016, 03:42
Suppose there are two prime numbers a and b then 9 <ab<55. 1. 2< a<6 > a can be 3 or 5
2. 13< b<25 > b can be 17,19,23
Check for a=3, b=17: 17*3=51, 9<51<55 E is the answer



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The product P of two prime numbers is between 9 and 55. If one of the
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26 Nov 2016, 03:53
If it would be a DS ques as given below, we had to check for other possible values as well.
Question :The product P of two prime numbers is between 9 and 55. What is the value of P.
1. If the first prime number is greater than 2 but less than 6. 2. If the second prime number is greater than 13 but less than 25.
Solution :
Suppose there are two prime numbers a and b then 9<ab<55. 1. 2< a<6 > a can be 3 or 5
2. 13< b<25 > b can be 17,19,23
It can be checked easily that either of the statements is not sufficient alone. Taking them together
a) Check for a=3, b=17: 17*3=51, 9<51<55
b) Check for a=3, b=19: 19*3=57, 57>55, so we don't have to check for a=3, b=23 because of the condition does not hold true for b=19, it will certainly be not true for b=23 when a remains same
c) check for a=5, b=17; 17*5=85, 85>55, so we don't have to check for a=5, b=19 or a=5, b=23
In this case, C will be correct answer



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Re: The product P of two prime numbers is between 9 and 55. If one of the
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26 Nov 2016, 07:55
E x = 3,5 y=17,19,23 only 17 * 3 = 51 will be with in the limit 9<p<55
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Re: The product P of two prime numbers is between 9 and 55. If one of the
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26 Nov 2016, 10:07
Bunuel wrote: The product P of two prime numbers is between 9 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then P =
A. 15 B. 33 C. 34 D. 46 E. 51 Prime numbers greater than 2 but less than 6 = { 3 , 5 } Prime numbers greater than 13 but less than 25 = { 17 , 19 , 23 } Product P of two prime numbers between 9 and 55 is 51 ( ie, 3*17 ) Hence, aswer will be (E)
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Re: The product P of two prime numbers is between 9 and 55. If one of the
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27 Feb 2018, 09:34
Bunuel wrote: The product P of two prime numbers is between 9 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then P =
A. 15 B. 33 C. 34 D. 46 E. 51 The primes greater than 2 but less than 6 are 3 and 5. The primes greater than 13 but less than 25 are 17, 19, and 23. Thus, we see that P could only be 3 x 17 = 51. Increasing either factor in this product would result in a number that is greater than 55. Answer: E
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