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Bunuel

Tough and Tricky questions: Number Properties.



What is the value of the sum of a list of n odd integers?

(1) n = 8
(2) The square of the number of integers on the list is 64.


Kudos for a correct solution.


let the odd integers be a1, a2....an. Question asks a1+a2+a3---an = ?

from 1: n=8, so NSF
from 2: n2 =64; so n =8 same as 1 so NSF

1+2 = NSF

so answer is E
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Solution: Determine the sum of a list of n odd integers

Statement 1: n = 8
Insufficient as we don't know the exact numbers

Statement 2: The square of the number of integers on the list is 64
Same information as in Statement 1, Insufficient as we don't know the exact numbers

Combining 1 & 2: No new information is provided.

Answer E
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We need the sum of a list of integers.
avg = sum/n
sum = avg*n

So to find the sum we need the average of the numbers and the number of integers.

From statement (1) n = 8 ; but we do not know the average --> INSUFF

From statement (2) n^2 = 64 ---> n =8 ; we still do not know the average --> INSUFF

Both statements are the same therefore ans --> (E)
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hi bunuel . here it is given clearly in thw question that n is odd . but in statement 1 why it is given as n=8 (even). both are contradictory
Bunuel
What is the value of the sum of a list of n odd integers?

(1) n = 8
(2) The square of the number of integers on the list is 64.
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hi bunuel . here it is given clearly in thw question that n is odd . but in statement 1 why it is given as n=8 (even). both are contradictory
Bunuel
What is the value of the sum of a list of n odd integers?

(1) n = 8
(2) The square of the number of integers on the list is 64.

Nowhere does it say that n is odd.

The question says the list contains odd numbers, and the number of odd numbers is n. That means the elements are odd, not necessarily n itself.

So there’s no contradiction in Statement (1) saying n = 8 - the number of odd integers is 8, which is completely fine.
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