Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What is the number of females in the town? I. The population of the town is 100000 and the town has more males than females. II. If the females increases by 10% which is 2% less than the percent increase in male population, the population will be increased by 8.8% and will become 108800

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement II alone is sufficient. Let females = F and males = M. After 10% increase in females, population becomes 1.088 × 100000 = 108800. The male increase is 2% more than female increase, so males increase by 12%. We have 1.10F + 1.12M = 108800 and F + M = 100000. Solving these gives F ≈ 52273. Statement I only tells us M > F, which is insufficient alone.

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