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Fill in the blank with a suitable preposition-
I’m afraid we can’t agree ______ each other _______ anything.
a) To/on
b) With/on
c) In/with
d) With/for

Answer
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Hint: A preposition is a word governing, and usually preceding, a noun or pronoun and expressing a relation to another word or element in the clause, as in ‘the man on the platform’, ‘she arrived after dinner’, ‘what did you do it for ?’.

Complete answer:
 In the given question, we have to fill in the two blanks with the correct preposition. The given sentence conveys that the two people cannot agree on a similar topic. Prepositions and postpositions, together called appositions, are a class of words used to express spatial or temporal relations or mark various semantic roles.
Now, let us examine all the given options to find out the correct option-
Option ‘a’ is To/on. The preposition ‘to’ is used as an infinitive of purpose to mean ‘in order to’. For example: I spent some money (in order) to get some help. The preposition ‘on' The preposition ‘on’ indicates that something is already in the position. ‘Onto’ indicates a movement from one place onto a surface of some type. The book is on the table.
Option ‘b’ is With/on. We use with to mean ‘because of’ or ‘as a result of’. This is especially common in speaking: With all this work, I’d better stay in tonight.
Option ‘c’ is In/with. ‘In' is a preposition which means expressing the situation of something that is or appears to be enclosed or surrounded by something else.
Option ‘d’ is With/for. The important point is that for is used to specify a period of time. For can be used when talking about the past, present, or future.
Hence, option ‘b’ is the correct option. The complete sentence would be – I’m afraid we can’t agree with each other on anything.

Note:
All the other options are plausible distractions. Don’t confuse between any other preposition as they all have different meanings and different usage.