On the other hand : অন্যদিকে; অপিচ; অপরত্র; আর; অপরপক্ষে;
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Appropriate Prepositions
Authority over (কর্তৃত্ব, আধিপত্য): She has no authority over his growing daughters.
Comply with(মেনে নেওয়া): The clerks must comply with the orders of their officer.
Damage to (ক্ষতি): The flood caused much damage to crops last year.
Deprived of (বঞ্চিত): He was deprived of education due to extreme poverty.
Play with (খেলা করা/ মজা করা): I shall not play with him.
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Idioms
At home (comfortable— আরাম) He feels at home in Dhaka now.
From cradle to grave (দোলনা থেকে কবর পর্যন্ত): Everyone has to learn from cradle to grave.
In no time (শীঘ্র): He will finish the work in no time.
Turn over a new leaf (begin a new phase of life, নবজীবন শুরু করা) —After his failure he turned over a new leaf.
Yellow dog (হীন ব্যক্তি) - A yellow dog is always hated by all.