In a sequence of N consecutive integers, are there exactly two multi

Question

In a sequence of N consecutive integers, are there exactly two multiples of 8?

(1) N = 18 
(2) The first integer in the sequence is not a multiple of 8.

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firas92 · Answer

Consider ther sets {1,2,3,...,8,...,16,17,18} and {7,8,9,....16,...24}

Both satisfy both statements but one has 2 multiples of 8 and the other has 3 multiples

Answer is (E)

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rajatchopra1994 · Answer

Explanation:

Statement 1: N=18
Means there are total of 18 consecutive numbers in the set
If the set starts with 8 then S={8,9..................25,26} There will be 3 multiples of 8 i.e. 8,16,24 : No
If the Set starts with 1 then S={1,2..................17,18} There will be 2 multiples of 8 i.e. 8,16 : Yes
INSUFFICIENT

Statement 2: The first integer in the sequence is not a multiple of 8.
We don't Know "N". 
INSUFFICIENT

From 1 & 2, N=18, & First Integer of Sequence is not multiple of 8
If the set starts with 9 then S={9,10..................26,27} There will be 2 multiples of 8 i.e. 16,24 : Yes
If the Set starts with 7 then S={7,8..................23,24,} There will be 3 multiples of 8 i.e. 8,16,24 : No
INSUFFICIENT

IMO-E

GMATinsight · Answer

Question: DOes sequence have exactly two multiples of 8?

Statement 1 : N = 18

18 consecutive integer always include two or three multiple of 8 hence

e.g. 8, 16, 24 from 8 to 25 OR
e.g. 8, 16 from 1 to 18

NOT SUFFICIENT

Statement 2 : The first integer in the sequence is not a multiple of 8

But teh number of multiples of 2 in set of N consecutive integers still depends on the value of N hence

NOT SUFFICIENT

e.g. 8, 16, 24 from 9 to 24 OR
e.g. 8, 16 from 1 to 18

Answer: Option E

Abhineetegi · Answer

In a sequence of N consecutive integers, are there exactly two multiples of 8?

(1) N = 18
N = 18, but we don't know the starting number.
If N consecutive no. starts from 1, then 1 to 18 has 2 multiples of 8 (8 and 16)
If N consecutive no. starts from 10, then 1 to 18 has 1 multiples of 8 (8 and 16)
 Hence not Sufficient.

(2) The first integer in the sequence is not a multiple of 8.

This means first int can be 1,2,3,4,5,7,(not 8), 9,10.... Not Sufficient

Both 1 and 2
=> will give multiple combinations and hence IMO  answer should be E

KaramveerBakshi · Answer

The sequence is a set of N consecutive integers.

Statements:

(1) N = 18
Consider the following 2 cases:
A - (1,2,3 .... , 18) - Are there exactly 2 multiples of 8? YES
B - (7,8,9 .... , 24) - Are there exactly 2 multiples of 8? NO.

Insufficient.

(2) The first integer in the sequence is not a multiple of 8.
The list can be as long as we want.

Clearly,  Insufficient.

Combining, we still have the (7,8,9 .... 24) sequence.

Insufficient.

Hence, the answer is (E).

In a sequence of N consecutive integers, are there exactly two multi

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GMAT Data Sufficiency (DS) Questions

In a sequence of N consecutive integers, are there exactly two multi

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