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
Alarm at, by, for(আশংকা করা/শঙ্কিত হওয়া): I was not alarmed at/by the news, but I was alarmed for their safety.
Zeal for (উৎসাহ): Forhad has great zeal for cricket.
Composed of(তৈরী): This medicine is composed of vitamins and minerals.
Concentrate on(কেন্দ্রীভূত করা): Try to concentrate your attention on your studies.
Rely on (নির্ভর করা): We should not rely on a lazy man.
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Idioms
All in - (পরিশ্রান্ত): I was all in after the meeting.
At home (comfortable— আরাম) He feels at home in Dhaka now.
Out of date (সেকেলে): This fashion is out of date.
Put up with (সহ্য করা - tolerate): I could not put up with his behavior.
Put the cart before the horse (to reverse the natural order of things-কোনো জিনিসের স্বাভাবিক ক্রমকে পাল্টে দেয়া) - The leader put the cart before the horse.