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

Question

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

rajatvermaenator · Answer

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

Posted from my mobile device

Ritwick91 · Answer

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.

Archit3110 · Answer

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

HanhPham309 · Answer

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)

yashah12 · Answer

Option A
2*3 = 6

B is incorrect since it can be 2+4=6 or 2+6=8

gota900 · Answer

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

shashankism · Answer

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

Answer A

ritu1009 · Answer

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

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards