Each question is followed by two statements I and II Mark the answer 1 If the question can be answer...........

Math and Mental Ability Data Sufficiency

Each question is followed by two statements, I and II. Mark the answer:

1.If the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.

2.If the question can be answered by using either statement alone.

3. If the question can be answered by using both statements together, but cannot be answered using either statement alone.

4. If the question cannot be answered even by using both statements together.

A city doubles its population every 5 years. How long will it take to increase its population by 3,600 from its present size (assume linear increase)?

I. In 1926 the population was 475.

II. The present population is 90.

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Explanation:

Let’s break it down:

- The question asks: How long does it take for the city’s population to increase by 3,600, assuming a linear increase, when it actually doubles every 5 years.

- Statement I: In 1926, the population was 475.

- Okay, but without the current population, knowing the starting point from 1926 doesn’t help you work out how long it’ll take to grow by 3,600 now.

- Statement II: The present population is 90.

- Again, knowing only the current population doesn’t help, because you have no rate of increase (linear or otherwise).

- If you put both statements together, you have a gap (1926 to now), but you still don’t know the yearly actual (linear) increase without the time elapsed or current “linear” growth per year.

- Also, the question says "assume linear increase," but gives exponential (doubling every 5 years) instead. That’s conflicting information—so the time to increase by 3,600 can’t be determined by either statement or even both.

Here’s what the options mean:

- Option 1 – One statement ok, not the other: Not possible—the info is incomplete either way.

- Option 2 – Either statement alone is enough: Nope.

- Option 3 – Both together are enough, but not alone: Still not true—they don’t give enough to solve.

- Option 4 – Even both together are not enough: Bingo.

Correct answer:

Option:4, 4