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TOEIC Reading 5 Exercisee 439

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Question: 
O:8:"stdClass":2:{s:8:"question";s:134:"The satellite-based data gives us the precise rate ______ the country is losing its size as it pushes northward against the Himalayas.";s:7:"choices";a:4:{i:0;s:5:"where";i:1;s:5:"which";i:2;s:8:"at which";i:3;s:8:"by which";}}
Answer: 
c
TOEIC Reading 5 Category: 
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answer explanation: 

<p dir="ltr"><span><span></span></span></p><p>Let's analyze the sentence:<br></p><p><strong>The satellite-based data gives us the price rate (____ the country is losing its size {as it pushes northward against the Himalayas}).</strong></p><p>The part wrapped with "()" is an adjective clause. The part wrapped with "{}" is an adverbial clause.<span><br></span></p><p>Let’s focus on the part of the adjective clause without the adverb clause:<br></p><p dir="ltr"><span><span>&nbsp;“_________ the country is losing its size.”&nbsp;</span></span></p><p dir="ltr"><span><span>This adjective clause modifies the antecedent “the precise rate,” so we can deduce that the original sentence that’s changed into this adjective sentence should be&nbsp;</span></span></p><p dir="ltr"><span><span>“the country is losing its size at the precise rate.” &nbsp;&nbsp;</span></span></p><p dir="ltr"><span><span>When the original sentence is changed into an adjective clause to modify the noun “the precise rate,” the adjective clause is:</span></span></p><p dir="ltr"><span><span>“at which the country is losing its size.”&nbsp;</span></span></p><p dir="ltr">The relative pronoun "which"&nbsp; refers to the price rate.<span><span><br></span></span></p><p dir="ltr"><span><span>The correct answer is (C) </span><span>at which</span><span>.&nbsp;</span></span>​</p><span><span></span></span><span><span></span></span>