College of Admission Tests Multan

Value Questions

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 9

What is the value of f2 – g2?

(1) f = –g + 8

(2) f = g – 2

  • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
  • BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  • EACH statement ALONE is sufficient.
  • Statements (1) and (2) TOGETHER are NOT sufficient.

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Correct Answer: C

When we see a quadratic formula like f2 – g2, we almost always want to simplify it to see its parts better. This formula simplifies into (f + g)(f – g), so if we can get values for each of those parenthetical statements, we can calculate the value of the whole. Statement (1) gives the value of f + g when it is rearranged, but doesn’t give the value of f – g. We can cross off A and D. Statement (2) gives the opposite: the value of f – g only. So it is not sufficient on its own - we can cross off B - but the two statements are sufficient together, so C is the correct answer.