Explore your understanding of data sufficiency problems by determining whether the provided data is enough to draw conclusions as true, false, or insufficient. This quiz targets scenarios where assessing available information is crucial for accurate reasoning in quantitative and logical questions.
Given that a rectangle's area is 24 square units and one side is 4 units long, is this information sufficient to determine the rectangle's perimeter?
Explanation: Knowing the area (24) and one side (4) of a rectangle allows us to find the other side (24 divided by 4 equals 6), so both sides are determined. The perimeter is then 2 × (4 + 6) = 20, making the data sufficient. The options 'False - Not Sufficient', 'Incorrect - Insufficient', and 'Partial - Enough' do not accurately reflect the sufficiency; only the correct answer does.
If Dana is three years older than Alex, but their current ages are not provided, is the information enough to conclusively tell if Dana is over 18 years old?
Explanation: Without the actual ages, the fact that Dana is older than Alex by three years does not allow us to determine whether Dana is over 18. 'True - Sufficient' assumes more information than provided, 'False - Not Sufficient' is almost correct but does not address the missing data, and 'Partially True' does not accurately reflect the situation.
Suppose two integers, x and y, add up to 10. Is this information sufficient to determine if x is greater than 5?
Explanation: Knowing only the sum does not tell us the individual values of x and y, so we cannot definitively say if x is greater than 5. 'True - Always Sufficient' and 'Correct - Definite Answer' are incorrect as they overestimate the data provided, while 'Insufficient - Cannot Decide' is similar but uses incorrect terminology for data sufficiency.
If the high temperature today is 5 degrees higher than yesterday’s low, and you know yesterday’s low was 12°C, is the given information sufficient to calculate today's high temperature?
Explanation: With yesterday's low (12°C) and knowing today's high is 5 degrees higher, we can calculate today's high as 17°C. The correct answer is 'True - Sufficient'. The other options suggest missing or ambiguous data, which does not apply here, as the calculation is straightforward.
Given an integer z where z u003E 1 and z is odd, is this information enough to determine if z is a prime number?
Explanation: Knowing that z is odd and greater than 1 is not enough to confirm z is prime, as many non-prime odd numbers exist (such as 9, 15, etc.). 'True - Sufficient' and 'Correct - Always Prime' are incorrect since the information is incomplete, and 'Partial - Incomplete Information' is a vague alternative that doesn't directly address data sufficiency.