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26 Nov 2016, 03:11
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E
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Difficulty:
5%
(low)
Question Stats:
95% (01:22) correct
5%
(01:53)
wrong
based on 1404
sessions
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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
A. 15
B. 33
C. 34
D. 46
E. 51
26 Nov 2016, 04:42
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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
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
26 Nov 2016, 04:53
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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
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
