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You are here: Home / GMAT / Official GMAT Guides / 2020 Official GMAT Guide /

Question 297 Data Sufficiency 2020 GMAT Official Guide

Question 297 Data Sufficiency 2020 GMAT Official Guide

 
Video explanation [PQID: DS81602.01]: If a and b are integers, and $b \gt 0$, does…

Method 1

Method 2

Comments

  1. Shariful Islam says

    March 26, 2022 at 3:19 AM

    Per your explanation in statement one, we have found b = 2. It sounds ok because the value has come from the statement.

    But how do you let b = 3 and a = -1? Didn’t the statement restrict the value of b? How can we let other values of b?

    Could you please explain related concepts? Thanks in advance for your answer!

    Reply
    • GMAT Quantum says

      March 27, 2022 at 10:06 AM

      Hi Shariful,

      As long as we select a value of $b$ that does not contradict any information in the statement 1 or in the main stem, then we are good. Our constraints are that $b$ must be positive and it must be an integer, and the example of $b=3$ and $a=-1$, satisfies all of the conditions. Statement 1, which says $a=b-4$, gives you a relationship between $a$ and $b$ but does not constrain the value of $b$ to a unique integer. For example, I could have picked $b=4$ and $a=0$, and this would have also answered the question as NO.

      Does this make sense? Let me know if there anything here that is not clear in my explanation.

      Dabral

      Reply

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