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# Each of the letters in the table above represents one of the numbers 1

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Each of the letters in the table above represents one of the numbers 1  [#permalink]

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15 Dec 2018, 10:26
1
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35% (medium)

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68% (01:17) correct 32% (01:27) wrong based on 83 sessions

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GMATbuster's Weekly Quant Quiz#13 Ques #9

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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  [#permalink]

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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.

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Re: Each of the letters in the table above represents one of the numbers 1  [#permalink]

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15 Dec 2018, 22:13
Option-1: 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.

Option-2: 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.

Option-1 + Option-2:
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  [#permalink]

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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  [#permalink]

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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

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Re: Each of the letters in the table above represents one of the numbers 1  [#permalink]

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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  [#permalink]

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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  [#permalink]

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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
SUFFICIENT

Statement (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 SUFFICIENT

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Re: Each of the letters in the table above represents one of the numbers 1  [#permalink]

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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   [#permalink] 16 Dec 2018, 22:58
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