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29 Apr 2022, 01:30
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E
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62% (02:10) correct
38%
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If d is the product of exactly two distinct prime factors, what is the value of the larger of those prime factors?
(1) 100 ≤ d ≤ 120
(2) d is an even number.
(1) 100 ≤ d ≤ 120
(2) d is an even number.
29 Apr 2022, 03:17
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(1) 100 ≤ d ≤ 120:
d could have a wide variety of values given that multiple pairs of distinct prime numbers have a product which fits the range of \(100 ≤ d ≤ 120\). Eg. 37*3, 17*7 etc.
INSUFFICIENT
(2) d is an even number:
This tells us that the smaller value has to be 2 as 2 is the only even prime number, and odd*even = even.
INSUFFICIENT
(1)+(2):
As we know that the smaller value is 2, and that the range of d is \(100 ≤ d ≤ 120\), the prime numbers we need to look at are in \(50 ≤ x ≤ 59\). The prime numbers that are in the 50's are 53 and 59, both which when multiplied by 2 yield a value that fits the range of \(100 ≤ d ≤ 120\).
INSUFFICIENT
Answer E
d could have a wide variety of values given that multiple pairs of distinct prime numbers have a product which fits the range of \(100 ≤ d ≤ 120\). Eg. 37*3, 17*7 etc.
INSUFFICIENT
(2) d is an even number:
This tells us that the smaller value has to be 2 as 2 is the only even prime number, and odd*even = even.
INSUFFICIENT
(1)+(2):
As we know that the smaller value is 2, and that the range of d is \(100 ≤ d ≤ 120\), the prime numbers we need to look at are in \(50 ≤ x ≤ 59\). The prime numbers that are in the 50's are 53 and 59, both which when multiplied by 2 yield a value that fits the range of \(100 ≤ d ≤ 120\).
INSUFFICIENT
Answer E
29 Apr 2022, 10:47
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Step 1: Analyse Question Stem
d is the product of exactly two distinct prime factors. As an example, we could think of numbers like 6, 10, 14, 15, 21 and so on, all of which are numbers that are a product of exactly two distinct primes.
We have to find out the value of the larger of the two prime factors
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: 100 ≤ d ≤ 120
If d = 106, the larger of the two primes is 53
If d = 118, the larger of the two primes is 59.
The data in statement 1 is insufficient to find out the value of the larger of the two primes.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: d is an even number.
This tells us that one of the primes that d is made of, is 2. However, the other and the larger prime in d, could be any one of the other primes.
The data in statement 2 is insufficient to find out the value of the larger of the two primes.
Statement 2 alone is insufficient. Answer option B can be eliminated.
Step 3: Analyse Statements by combining
From statement 1: 100 ≤ d ≤ 120
From statement 2: d is even
If d = 106, the larger of the two primes is 53
If d = 118, the larger of the two primes is 59.
The combination of statements is insufficient to find the value of the larger of the two primes.
Statements 1 and 2 together are insufficient. Answer option C can be eliminated.
The correct answer option is E.
d is the product of exactly two distinct prime factors. As an example, we could think of numbers like 6, 10, 14, 15, 21 and so on, all of which are numbers that are a product of exactly two distinct primes.
We have to find out the value of the larger of the two prime factors
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: 100 ≤ d ≤ 120
If d = 106, the larger of the two primes is 53
If d = 118, the larger of the two primes is 59.
The data in statement 1 is insufficient to find out the value of the larger of the two primes.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: d is an even number.
This tells us that one of the primes that d is made of, is 2. However, the other and the larger prime in d, could be any one of the other primes.
The data in statement 2 is insufficient to find out the value of the larger of the two primes.
Statement 2 alone is insufficient. Answer option B can be eliminated.
Step 3: Analyse Statements by combining
From statement 1: 100 ≤ d ≤ 120
From statement 2: d is even
If d = 106, the larger of the two primes is 53
If d = 118, the larger of the two primes is 59.
The combination of statements is insufficient to find the value of the larger of the two primes.
Statements 1 and 2 together are insufficient. Answer option C can be eliminated.
The correct answer option is E.
