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Put the correct preposition in the blank . I am quite -- home in Algebra

Put the correct preposition in the blank . I am quite -- home in Algebra Correct Answer at

At home in something অর্থ কোন বিষয়ে দক্ষ। At যোগে বাক্যটির বাংলা: বীজগণিতে আমি পুরোপুরি দক্ষ।

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The Coordinator of an International Virtual Conference has planned six guest lectures on different areas-Cryptography, Fluid Dynamics, Big Data Analysis, Wavelet Theory, Differential Equations and Linear Algebra-to be organised only one on each day from Monday to Sunday.  Wavelet Theory should be organised immediately after Differential Equations.  Big Data Analysis should be organised on Wednesday and should not be followed by Linear Algebra.  Fluid Dynamics should be organised on Friday and there should be a gap of two days between Cryptography and Linear Algebra.  One day there will be no lecture (Saturday is not that day), and just before that day Linear Algebra will be organised. How many lectures are organised between Big Data Analysis and Wavelet Theory? 
Put the correct preposition in the blank, I am quire____ home in Algebra.
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The figure shows a shape ABC and its mirror image A1B1C1 across the horizontal axis (X-axis). The coordinate transformation matrix that maps ABC to A1B1C1 is
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Rohan put 9 cards on a table, some face up and the rest face down. How many were put face down? A. Rohan put an even number of the cards face up. B. Rohan put twice as many of the cards face up as he put face down. Select the correct answer from the options given below:
Some small cubes of same height 7 cm but variable length and width are put inside a large cuboid of height 21 cm. Length and width of cuboid is 32 cm and 24 cm, respectively. Small cubes are put such that cubes at the bottom most layer is of similar base area; second layer contains all the cubes of similar base area and third layer have all the cubes of similar base area. Which of the following statement(s) given below is / are TRUE? A: If side of each small cubes at bottom most layer is 8 cm, then maximum number of small cubes that can be put at bottom most layer is 12. B: If maximum of 48 cubes can be put at second layer, then side of each cube at second layer is 6 cm. C: If side of each small cubes at third layer is 1.6 cm, then maximum number of small cubes that can be put at third layer is 300.
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Rohan, Shikha's boyfriend, had to pick her from her home for a live concert on her 23rd birthday. The venue of the concert and Shikha's home were in opposite directions from Rohan's office. He got late because of some work at office and realised that if he goes to pick Shikha from her home, which was a 48-minute drive from his office, they would be late for the show by 16 minutes. He asked her to start from her home towards his office in an auto-rickshaw and himself started driving towards her home. Both of them started simultaneously, he picked her as soon as they met and they managed to reach the venue just in time for the concert. If Rohan drives at an average speed of 60 km/hr, find the speed (in km/hr) of the auto-rickshaw.
Each material circumstance appearing in evidence against the accused must be put to the accused specifically, distinctly and separately. In this context, the propositions are
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