On the back of : পাছু; পিছে;
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on the back of  on the face of it  See Words Also In
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Appropriate Prepositions
Consent to(মত দেওয়া): My father did not consent to the proposal of my sister’s marriage.
Due to (কারণে): His absence is due to illness.
Genius for (দক্ষতা): Nazrul had a genius for convincing girls.
Hinge on/upon (নির্ভর করা): The whole matter hinges upon this clue.
Quick at (চটপটে): A cashier must be quick at figures.
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Idioms
At a standstill (নিশ্চল, অচলাবস্থায়-adj.) The discussion is now at a standstill.
Put up with (সহ্য করা - tolerate): I could not put up with his behavior.
Red tape (official formalities, অফিসের কাজ)— You would not believe the red tape involved in getting the required permits.
Read between the lines (understand the significance, অন্তনিহিত অর্থ বুঝা) Try to read between the lines of the letter.
To the contrary (against what some one had said, পক্ষান্তরে) —He said nothing to the contrary.