Question

Choose the set of three statements where the third statement can be logically derived from the preceding two.
Statements:
1. Some students love reading.
2. Some adults do not love reading.
3. Some students are not adult.
4. Some students are adult.
5. No reading lover is an adult.
6. Some men do not love reading.
The set of statements is:

• A. 1, 3, 4
• B. 1, 5, 3
• C. 1, 2, 4
• D. 6, 2, 4

Answer 1

The Correct Option is B

The correct option is (B): 1, 5, 3.

Answer 2

This question tests whether we can identify a valid syllogism: two premises given first, immediately followed by the conclusion they support. Let S = students, R = people who love reading, A = adults, and check each set:

1. 1, 3, 4: 'Some students love reading' and 'Some students are not adult' are both particular statements about students. Two particular premises never yield a valid syllogistic conclusion, there is no distributed middle term linking them to 'Some students are adult'. This set is not valid.
2. 1, 5, 3: 'Some students love reading' (Some S are R) combined with 'No reading lover is an adult' (No R is A) does yield a valid conclusion. Since some students fall into the reading-lover group, and that entire group excludes adults, those particular students cannot be adults, giving exactly 'Some students are not adult'. This set is logically valid.
3. 1, 2, 4: 'Some students love reading' and 'Some adults do not love reading' are again both particular statements, and neither shares a properly distributed middle term that could connect students to adults. No valid conclusion about students being adults follows from these two.
4. 6, 2, 4: 'Some men do not love reading' and 'Some adults do not love reading' concern men and adults, terms that never mention students at all. Nothing here can logically produce a conclusion about students and adults.

Only the combination of 'Some students love reading' and 'No reading lover is an adult' logically forces the conclusion that some students are not adults.

Therefore, the correct answer is 1, 5, 3.

Answer 3

Picture three overlapping groups, Students (S), Reading-lovers (R) and Adults (A). Statement 1 says the S and R circles overlap, some students fall inside R. Statement 5 says the R and A circles never touch at all, no reading lover is ever inside A. Let's test each option using this picture:

1. 1, 3, 4: Statement 1 places some of S inside R, and statement 3 places some of S outside A, but nothing here tells us the R circle avoids A entirely, so these two premises alone cannot guarantee statement 4, that some students are inside A.
2. 1, 5, 3: Statement 1 puts some students inside the R circle. Statement 5 keeps the entire R circle completely separate from the A circle. Since those particular students sit inside R, and R never touches A, those same students must sit outside A too, exactly statement 3.
3. 1, 2, 4: Statement 1 places some S inside R, and statement 2 places some A outside R, these describe two different, unconnected corners of the picture and cannot be combined to conclude anything definite about S and A overlapping.
4. 6, 2, 4: Statements 6 and 2 both talk about a different pair of circles, Men and Adults, relative to R, neither one even includes the Students circle, so no conclusion about students follows.

Only the combination of "some students are inside the reading-lovers circle" and "the reading-lovers circle never touches the adults circle" pins those particular students outside the adults circle, giving exactly statement 3.

Therefore, the correct answer is 1, 5, 3.