Tough DS qs:Experts pl help

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Tough DS qs:Experts pl help

by ankitbagla » Sat Oct 19, 2013 11:39 am
If the infinite sequence, M, is defined as M1 = 6, M2 = 96, M3 = 996, ... , Mk = 10k - 4, is every term in this sequence divisible by q, if q is an even number?

(1) q is less than 45.

(2) At least 2 terms in the sequence are divisible by q
Source : Grockit
Source: — Data Sufficiency |

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by [email protected] » Sat Oct 19, 2013 11:59 am
Hi ankitbagla,

This question is worded in a slightly awkward way, but I believe that I've interpreted everything correctly. This DS question is perfect for TESTing VALUES.

We're given a specific sequence of numbers (6, 96, 996, etc.) We're asked if EVERY term is divisible by Q (if Q is even). This is a Yes/No question.

Fact 1: Q < 45

If Q = 2, then EVERY number is divisible (since they're all even). The answer to the question is YES.
If Q = 4, then 6 is NOT evenly divisible, but 96 IS evenly divisible. The answer to the question is NO.
Fact 1 is INSUFFICIENT

Fact 2: At least 2 terms are divisible by Q

If Q = 2, then EVERY number is divisible (since they're all even). The answer to the question is YES.
If Q = 4, then every number EXCEPT for 2 is divisible (96, 996, etc. are all divisible by 4). The answer to the question is NO.
Fact 2 is INSUFFICIENT

Combined, we have the exact same TEST values that overlap:
If Q = 2, then we have a YES
If Q = 4, then we have a NO.
Combined, INSUFFICIENT.

Final Answer: E

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Rich
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