Lesson: Data Sufficiency Challenging - 07t05

Time Is Of The Essence, continued

[Page 7 of 24]

What is the value of x + y?

1) mx + ny + xn + ym = 10

2) m + n = 6

Can we establish definitive sufficiency or insufficiency for Statement 1 using the statement alone, or do we need to calculate? Select an answer and then click Continue.

1) mx + ny + xn + ym = 10

  Statement 1 is sufficient. Statement 1 is insufficient. Calculation is necessary.

Can we establish definitive sufficiency or insufficiency for Statement 2 using the statement alone, or do we need to calculate? Select an answer and then click Continue.

2) m + n = 6

  Statement 2 is sufficient. Statement 2 is insufficient. Calculation is necessary.

Can we establish definitive sufficiency or insufficiency using just the two statements, or do we need to calculate? Select an answer and then click Continue.

1) mx + ny + xn + ym = 10

2) m + n = 6

  The statements together are sufficient. The statements together are insufficient. Calculation is necessary.

Countinue

Most test-takers would have a tough time judging sufficiency here based solely on a glance. However, the fact that the second statement is blatantly insufficient — it doesn’t even mention the variables in the question stem — should start you thinking that perhaps you can use that information to decode the first statement. To do so, we’d need somehow to group m and n together in the first equation so we could replace them with their sum of 6. We can rearrange the equation as: mx + my + nx + ny = 10.

Countinue

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