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What is the value of t?

This topic has 4 expert replies and 0 member replies
jjjinapinch Senior | Next Rank: 100 Posts Default Avatar
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Posted:
83 messages

What is the value of t?

Post Thu Jul 27, 2017 12:07 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    What is the value of t?

    (1) s + t = 6 + s
    (2) t^3 = 216

    Official Guide question
    Answer: D

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    Post Thu Jul 27, 2017 12:38 pm
    jjjinapinch wrote:
    What is the value of t?
    (1) s + t = 6 + s
    (2) t^3 = 216

    Official Guide question
    Answer: D
    Target question: What is the value of t?

    Statement 1: s + t = 6 + s
    Subtract s from both sides to get: t = 6...DONE!
    Since we can answer the target question with certainty, statement 1 is SUFFICIENT

    Statement 2: t^3 = 216
    Only one value satisfies this equation: t = 6...DONE!
    Since we can answer the target question with certainty, statement 2 is SUFFICIENT

    Answer: D

    Cheers,
    Brent

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    Post Thu Jul 27, 2017 10:27 pm
    jjjinapinch wrote:
    What is the value of t?

    (1) s + t = 6 + s
    (2) t^3 = 216

    Official Guide question
    Answer: D
    While the first statement is easy, let's discuss the second statement.

    If the exponent of a number is an odd integer, you get a unique value of the number.

    Let's take the following examples.

    1. t^2 = 36; exponent 2 is even

    = t^2 = 6^2; or t^2 = (-6)^2;

    In this case t = 6 or -6. No unique value.

    2. t^3 = 216; exponent 3 is odd

    = t^3 = 6^3; or t^3 ≠ (-6)^3;

    In this case t = 6. A unique value.

    The correct answer: D

    Hope this helps!

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    Post Sat Jul 29, 2017 10:35 am
    Hi jjjinapinch,

    This prompt is built around a couple of standard Arithmetic rules. We're asked for the value of T.

    1) S + T = 6 + S

    If we subtract S from both sides of the equation, we get... T = 6
    Fact 1 is SUFFICIENT.

    2) T^3 = 216

    While equations that involve exponents sometimes result in more than one solution, this equation has JUST one solution. Here's why:

    (positive)^3 = positive
    (negative)^3 = negative
    (0)^3 = 0

    Since T^3 = +216, there can be JUST ONE solution - one positive solution (and while T=6 is that solution, you don't have to technically calculate it to KNOW that there's just one solution). Thus....
    Fact 2 is SUFFICIENT.

    Final Answer: D

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    Post Wed Aug 09, 2017 11:39 am
    jjjinapinch wrote:
    What is the value of t?

    (1) s + t = 6 + s
    (2) t^3 = 216

    Official Guide question
    Answer: D
    We need to determine the value of t.

    Statement One Alone:

    s + t = 6 + s

    We can subtract s from both sides of the equation and obtain:

    t = 6

    Statement one is sufficient to answer the question.

    Statement Two Alone:

    t^3 = 216

    We can take the cube root of t^3 and 216 and we have:

    t = 6

    Statement two is sufficient to answer the question.

    Answer: D

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