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Each of the letters in the table above represents one of the numbers 1
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15 Dec 2018, 10:26
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GMATbuster's Weekly Quant Quiz#13 Ques #9 For Questions from earlier quizzes: Click HereAttachment:
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Each of the letters in the table above represents one of the numbers 1 to 9 inclusive and each of the numbers occurs exactly once. What is the value of i? (1) i is the product of the prime numbers d and e (2) i is the sum of two even numbers d and f
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Re: Each of the letters in the table above represents one of the numbers 1
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15 Dec 2018, 10:54
1)product could be 2x3 only since any other product of prime number will result in number greater than 9. So sufficient 2) only 2 and 6 , 2 and 4 can result in number less than 9. Not sufficient.
Answer A
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Re: Each of the letters in the table above represents one of the numbers 1
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15 Dec 2018, 22:13
Option1: i is the product of the prime numbers d and e From here we get to know that d and e are prime numbers, so possible value of d and e are 2,3,5 and 7. As there are more than 1 possible values for d and e, we can't determine the value of i from this option.
Option2: i is the sum of two even numbers d and f From here we get to know that d and f are even numbers, so possible value of d and f are 2,4,6 and 8. Again, as there are more than 1 possible values for d and f, we can't determine the value of i from this option.
Option1 + Option2: d and e are prime and d and f are even => d is even prime,i.e, d=2 But we don't have any clear picture for the value of e(3/5/7) and f(4/6/8).
Hence, IMO ans should be E.



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Each of the letters in the table above represents one of the numbers 1
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Updated on: 17 Dec 2018, 07:56
From 1:
i = prime no d * e 2*3 only possibility l sufficient
from2 i is the sum of two even numbers d and f
again many possiblities so in sufficient
IMO A
Each of the letters in the table above represents one of the numbers 1 to 9 inclusive and each of the numbers occurs exactly once. What is the value of i? (1) i is the product of the prime numbers d and e (2) i is the sum of two even numbers d and f
Originally posted by Archit3110 on 16 Dec 2018, 02:21.
Last edited by Archit3110 on 17 Dec 2018, 07:56, edited 1 time in total.



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Re: Each of the letters in the table above represents one of the numbers 1
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16 Dec 2018, 03:04
Each of the letters in the table above represents one of the numbers 1 to 9 inclusive and each of the numbers occurs exactly once. What is the value of i? (1) i is the product of the prime numbers d and e (2) i is the sum of two even numbers d and f _____________________________________________________________ (1) i is the product of the prime numbers d and e The prime numbers ranging from 1 to 9 inclusive are 2, 3, 5, 7 Knowing that the number can not exceed 9, which is the largest value among the given numbers. We have: 2*3=6 2*5=10 2*7=14 3*5=15 3*7=21 5*7=35 In this case, there is only 2*3=6 satisfies the assumption stated in the question. > Sufficient.
(2) i is the sum of two even numbers d and f The even numbers in this range are: 2, 4, 6, 8 The sums can be as followed: 2+4= 6 2+6= 8 2+8= 10 4+6= 10 4+8= 12 6+8= 14 There are 2 numbers in which satisfy the stated assumption: (2+4= 6 & 2+6= 8). It can be either one of the cases. > INSUFFICIENT
Answer choice: (A)



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Re: Each of the letters in the table above represents one of the numbers 1
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16 Dec 2018, 04:12
Option A 2*3 = 6
B is incorrect since it can be 2+4=6 or 2+6=8



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Re: Each of the letters in the table above represents one of the numbers 1
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16 Dec 2018, 04:32
statement (1) tells us: d & e can be 2,3,5,7. Moreover, it tells us that i must be a product of one of those two. Since every number can only occur once (that tells us that 2x2 and 3x3 are not possible), d & e must result in the number 6, thus providing a unique value of 6 for the number i. SUFFICIENT (2) tells us: i can be 6 or 8. The reason is: if d and e are even numbers, we could choose 2,4,6 or 8 for d or e. Again, d and e must be distinct from each other (that eliminates 2+2 and 4+4). Moreover, d and e must be less than 10 (that eliminates the number 8). Possible values for i could now be 6 or 8, because d and e can take on the values of 2, 4, and 6. INSUFFICIENT OA: A
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Re: Each of the letters in the table above represents one of the numbers 1
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16 Dec 2018, 10:08
Given : Each of the letters in the table above represents one of the numbers 1 to 9 inclusive and each of the numbers occurs exactly once. DI Question : What is the value of i? The numbers are 1,2,3,4,5,6,7,8,9 Prime numbers among them are 2,3,5,7 Even numbers among them are 2,4,6,8 Statement (1) : i is the product of the prime numbers d and e Since i is the product of two prime numbers. two prime d and e will give a single digit number only if d and e are 2 and 3. i = 2*3 = 6 SUFFICIENTStatement (2): i is the sum of two even numbers d and f 2+4 = 6 2+6 = 8 There can be two values of i. NOT SUFFICIENTAnswer A
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Re: Each of the letters in the table above represents one of the numbers 1
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16 Dec 2018, 22:58
Ans is A
Statement 1 i is product of two prime numbers so i= 6= 2*3. Product of other prime numbers are greater than 9 Hence sufficient
statement 2 i is sum of two even numbers
i=6=2+4 i=8=2+6 Two possibilities , hence insufficient




Re: Each of the letters in the table above represents one of the numbers 1
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