Assumption Evaluation – Decide which assumptions are implicit in the statements: Statements: (a) All girls do not like to marry (i.e., no girl likes to marry). (b) Some girls do not marry. Assumptions to test: I) All girls like to marry. II) All girls do not marry.

Introduction / Context:This problem asks which assumptions are implicitly taken for granted by the given statements. An assumption is something the statement relies on being true, not a conclusion we can forcibly derive.

Given Data / Assumptions (from the stem):

• (a) Interprets as “No girl likes to marry.”
• (b) “Some girls do not marry.”
• Assumption I: “All girls like to marry.”
• Assumption II: “All girls do not marry.”

Concept / Approach:Implicit assumptions should support or be required by the statements. Any assumption contradicting a statement is invalid; any assumption that is stronger than what is needed (and not required) is also invalid.

Step-by-Step Solution:Assumption I directly contradicts (a), which declares no girl likes to marry. Hence I cannot be implicit.Assumption II is stronger than (b). Statement (b) asserts an existential claim (“some”), not a universal (“all”). The statement does not require that every girl fails to marry; therefore II is not implicit.

Verification / Alternative check:A consistent model exists where some girls marry, some do not, and (a) is simply a (controversial) claim about liking; regardless, (b) needs only “at least one girl does not marry”. Neither I nor II is required for the statements to make sense.

Why Other Options Are Wrong:

• I is valid / II is valid / Both valid: each accepts an assumption that either contradicts (I) or overstates necessity (II).

Common Pitfalls:Confusing “implicit assumption” with “stronger version that would also make the statement true.” Implicit means necessary, not merely sufficient.

Final Answer:Both I and II are invalid.