{"id":3171,"date":"2016-10-22T15:27:26","date_gmt":"2016-10-22T08:27:26","guid":{"rendered":"http:\/\/www.giasuquocte.edu.vn\/mathematical-reasoning\/"},"modified":"2016-10-22T15:27:26","modified_gmt":"2016-10-22T08:27:26","slug":"mathematical-reasoning","status":"publish","type":"post","link":"https:\/\/giasuquocte.edu.vn\/en\/mathematical-reasoning\/","title":{"rendered":"Mathematical Reasoning"},"content":{"rendered":"<div id=\"watu_quiz\" class=\"quiz-area single-page-quiz\">\n<form action=\"\" method=\"post\" class=\"quiz-form \" id=\"quiz-28\" >\n<div class='watu-question' id='question-1'><div class='question-content'><p><span class='watu_num'>1. <\/span><strong>Which of the following is the converse of the statement: &#8220;If x&gt;4, then x+2&gt;5&#8221;?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='495' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2130' \/><div class='watu-question-choice'><input type='radio' name='answer-495[]' id='answer-id-2130' class='answer answer-1  answerof-495' value='2130' \/>&nbsp;<label for='answer-id-2130' id='answer-label-2130' class=' answer label-1'><span class='answer'>If x+2 is not greater than 5, then x is not greater than 4.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2129' \/><div class='watu-question-choice'><input type='radio' name='answer-495[]' id='answer-id-2129' class='answer answer-1  answerof-495' value='2129' \/>&nbsp;<label for='answer-id-2129' id='answer-label-2129' class=' answer label-1'><span class='answer'>If x+2>5, then x>4.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2127' \/><div class='watu-question-choice'><input type='radio' name='answer-495[]' id='answer-id-2127' class='answer answer-1  answerof-495' value='2127' \/>&nbsp;<label for='answer-id-2127' id='answer-label-2127' class=' answer label-1'><span class='answer'>If x+2<5, then x<4.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2128' \/><div class='watu-question-choice'><input type='radio' name='answer-495[]' id='answer-id-2128' class='answer answer-1  answerof-495' value='2128' \/>&nbsp;<label for='answer-id-2128' id='answer-label-2128' class=' answer label-1'><span class='answer'>If x is not greater than 4, then x+2 is not greater than 5.<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType1' value='radio' class=''><\/div><div class='watu-question' id='question-2'><div class='question-content'><p><span class='watu_num'>2. <\/span><strong>When y = 3, which of the following is FALSE?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='498' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2140' \/><div class='watu-question-choice'><input type='radio' name='answer-498[]' id='answer-id-2140' class='answer answer-2  answerof-498' value='2140' \/>&nbsp;<label for='answer-id-2140' id='answer-label-2140' class=' answer label-2'><span class='answer'>y is odd or y is even.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2142' \/><div class='watu-question-choice'><input type='radio' name='answer-498[]' id='answer-id-2142' class='answer answer-2  answerof-498' value='2142' \/>&nbsp;<label for='answer-id-2142' id='answer-label-2142' class=' answer label-2'><span class='answer'>y is odd and 2y is even.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2141' \/><div class='watu-question-choice'><input type='radio' name='answer-498[]' id='answer-id-2141' class='answer answer-2  answerof-498' value='2141' \/>&nbsp;<label for='answer-id-2141' id='answer-label-2141' class=' answer label-2'><span class='answer'>y is not prime and y is odd.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2139' \/><div class='watu-question-choice'><input type='radio' name='answer-498[]' id='answer-id-2139' class='answer answer-2  answerof-498' value='2139' \/>&nbsp;<label for='answer-id-2139' id='answer-label-2139' class=' answer label-2'><span class='answer'>y is prime and y is odd.<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType2' value='radio' class=''><\/div><div class='watu-question' id='question-3'><div class='question-content'><p><span class='watu_num'>3. <\/span><strong>&#8220;It has two pairs of opposite sides parallel.&#8221; Which of the following make this open sentence true?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='506' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2173' \/><div class='watu-question-choice'><input type='radio' name='answer-506[]' id='answer-id-2173' class='answer answer-3  answerof-506' value='2173' \/>&nbsp;<label for='answer-id-2173' id='answer-label-2173' class=' answer label-3'><span class='answer'>Rectangle.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2171' \/><div class='watu-question-choice'><input type='radio' name='answer-506[]' id='answer-id-2171' class='answer answer-3  answerof-506' value='2171' \/>&nbsp;<label for='answer-id-2171' id='answer-label-2171' class=' answer label-3'><span class='answer'>Parallelogram.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2174' \/><div class='watu-question-choice'><input type='radio' name='answer-506[]' id='answer-id-2174' class='answer answer-3  answerof-506' value='2174' \/>&nbsp;<label for='answer-id-2174' id='answer-label-2174' class=' answer label-3'><span class='answer'>Parallelogram and Rectangle.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2172' \/><div class='watu-question-choice'><input type='radio' name='answer-506[]' id='answer-id-2172' class='answer answer-3  answerof-506' value='2172' \/>&nbsp;<label for='answer-id-2172' id='answer-label-2172' class=' answer label-3'><span class='answer'>Trapezoid.<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType3' value='radio' class=''><\/div><div class='watu-question' id='question-4'><div class='question-content'><p><span class='watu_num'>4. <\/span><strong>What is the truth value of &#8220;4 is even and 8 is odd.&#8221;?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='501' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2152' \/><div class='watu-question-choice'><input type='radio' name='answer-501[]' id='answer-id-2152' class='answer answer-4  answerof-501' value='2152' \/>&nbsp;<label for='answer-id-2152' id='answer-label-2152' class=' answer label-4'><span class='answer'>False.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2154' \/><div class='watu-question-choice'><input type='radio' name='answer-501[]' id='answer-id-2154' class='answer answer-4  answerof-501' value='2154' \/>&nbsp;<label for='answer-id-2154' id='answer-label-2154' class=' answer label-4'><span class='answer'>Cannot be determined.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2153' \/><div class='watu-question-choice'><input type='radio' name='answer-501[]' id='answer-id-2153' class='answer answer-4  answerof-501' value='2153' \/>&nbsp;<label for='answer-id-2153' id='answer-label-2153' class=' answer label-4'><span class='answer'>24.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2151' \/><div class='watu-question-choice'><input type='radio' name='answer-501[]' id='answer-id-2151' class='answer answer-4  answerof-501' value='2151' \/>&nbsp;<label for='answer-id-2151' id='answer-label-2151' class=' answer label-4'><span class='answer'>True.<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType4' value='radio' class=''><\/div><div class='watu-question' id='question-5'><div class='question-content'><p><span class='watu_num'>5. <\/span><strong>If Susan does not like spinach, what is the truth value of the statement &#8220;Susan likes ice cream and she like spinach.&#8221;?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='504' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2163' \/><div class='watu-question-choice'><input type='radio' name='answer-504[]' id='answer-id-2163' class='answer answer-5  answerof-504' value='2163' \/>&nbsp;<label for='answer-id-2163' id='answer-label-2163' class=' answer label-5'><span class='answer'>True.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2166' \/><div class='watu-question-choice'><input type='radio' name='answer-504[]' id='answer-id-2166' class='answer answer-5  answerof-504' value='2166' \/>&nbsp;<label for='answer-id-2166' id='answer-label-2166' class=' answer label-5'><span class='answer'>None of the above.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2164' \/><div class='watu-question-choice'><input type='radio' name='answer-504[]' id='answer-id-2164' class='answer answer-5  answerof-504' value='2164' \/>&nbsp;<label for='answer-id-2164' id='answer-label-2164' class=' answer label-5'><span class='answer'>False.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2165' \/><div class='watu-question-choice'><input type='radio' name='answer-504[]' id='answer-id-2165' class='answer answer-5  answerof-504' value='2165' \/>&nbsp;<label for='answer-id-2165' id='answer-label-2165' class=' answer label-5'><span class='answer'>Susan like pizza.<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType5' value='radio' class=''><\/div><div class='watu-question' id='question-6'><div class='question-content'><p><span class='watu_num'>6. <\/span><strong>Which is logically equivalent to &#8220;If today is Sunday, Matt cannot play hockey.&#8221;?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='499' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2143' \/><div class='watu-question-choice'><input type='radio' name='answer-499[]' id='answer-id-2143' class='answer answer-6  answerof-499' value='2143' \/>&nbsp;<label for='answer-id-2143' id='answer-label-2143' class=' answer label-6'><span class='answer'>Today is Sunday and Matt can play hockey.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2146' \/><div class='watu-question-choice'><input type='radio' name='answer-499[]' id='answer-id-2146' class='answer answer-6  answerof-499' value='2146' \/>&nbsp;<label for='answer-id-2146' id='answer-label-2146' class=' answer label-6'><span class='answer'>Today is not Sunday if and only if Matt plays hockey.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2145' \/><div class='watu-question-choice'><input type='radio' name='answer-499[]' id='answer-id-2145' class='answer answer-6  answerof-499' value='2145' \/>&nbsp;<label for='answer-id-2145' id='answer-label-2145' class=' answer label-6'><span class='answer'>Today is Sunday and Matt cannot play hockey.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2144' \/><div class='watu-question-choice'><input type='radio' name='answer-499[]' id='answer-id-2144' class='answer answer-6  answerof-499' value='2144' \/>&nbsp;<label for='answer-id-2144' id='answer-label-2144' class=' answer label-6'><span class='answer'>If Matt plays hockey, then today is not Sunday.<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType6' value='radio' class=''><\/div><div class='watu-question' id='question-7'><div class='question-content'><p><span class='watu_num'>7. <\/span><strong>The inverse of the converse of a conditional statement is the _______________.<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='503' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2162' \/><div class='watu-question-choice'><input type='radio' name='answer-503[]' id='answer-id-2162' class='answer answer-7  answerof-503' value='2162' \/>&nbsp;<label for='answer-id-2162' id='answer-label-2162' class=' answer label-7'><span class='answer'>None of the above.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2160' \/><div class='watu-question-choice'><input type='radio' name='answer-503[]' id='answer-id-2160' class='answer answer-7  answerof-503' value='2160' \/>&nbsp;<label for='answer-id-2160' id='answer-label-2160' class=' answer label-7'><span class='answer'>Inverse.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2159' \/><div class='watu-question-choice'><input type='radio' name='answer-503[]' id='answer-id-2159' class='answer answer-7  answerof-503' value='2159' \/>&nbsp;<label for='answer-id-2159' id='answer-label-2159' class=' answer label-7'><span class='answer'>Converse.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2161' \/><div class='watu-question-choice'><input type='radio' name='answer-503[]' id='answer-id-2161' class='answer answer-7  answerof-503' value='2161' \/>&nbsp;<label for='answer-id-2161' id='answer-label-2161' class=' answer label-7'><span class='answer'>Contrapositive.<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType7' value='radio' class=''><\/div><div class='watu-question' id='question-8'><div class='question-content'><p><span class='watu_num'>8. <\/span><strong>The statement &#8220;If x is divisible by 8, then it is divisible by 6&#8221; is false if x equals?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='489' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2104' \/><div class='watu-question-choice'><input type='radio' name='answer-489[]' id='answer-id-2104' class='answer answer-8  answerof-489' value='2104' \/>&nbsp;<label for='answer-id-2104' id='answer-label-2104' class=' answer label-8'><span class='answer'>14<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2105' \/><div class='watu-question-choice'><input type='radio' name='answer-489[]' id='answer-id-2105' class='answer answer-8  answerof-489' value='2105' \/>&nbsp;<label for='answer-id-2105' id='answer-label-2105' class=' answer label-8'><span class='answer'>32<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2103' \/><div class='watu-question-choice'><input type='radio' name='answer-489[]' id='answer-id-2103' class='answer answer-8  answerof-489' value='2103' \/>&nbsp;<label for='answer-id-2103' id='answer-label-2103' class=' answer label-8'><span class='answer'>6<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2106' \/><div class='watu-question-choice'><input type='radio' name='answer-489[]' id='answer-id-2106' class='answer answer-8  answerof-489' value='2106' \/>&nbsp;<label for='answer-id-2106' id='answer-label-2106' class=' answer label-8'><span class='answer'>48<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType8' value='radio' class=''><\/div><div class='watu-question' id='question-9'><div class='question-content'><p><span class='watu_num'>9. <\/span><strong>Which statement is logically equivalent to &#8220;If Yoda cannot use a lightsaber, then he cannot help Luke win the battle.&#8221;<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='496' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2131' \/><div class='watu-question-choice'><input type='radio' name='answer-496[]' id='answer-id-2131' class='answer answer-9  answerof-496' value='2131' \/>&nbsp;<label for='answer-id-2131' id='answer-label-2131' class=' answer label-9'><span class='answer'>Yoda cannot use a lightsaber and he will help Luke win the battle.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2134' \/><div class='watu-question-choice'><input type='radio' name='answer-496[]' id='answer-id-2134' class='answer answer-9  answerof-496' value='2134' \/>&nbsp;<label for='answer-id-2134' id='answer-label-2134' class=' answer label-9'><span class='answer'>Yoda cannot use a lightsaber and will not help Luke win the battle.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2132' \/><div class='watu-question-choice'><input type='radio' name='answer-496[]' id='answer-id-2132' class='answer answer-9  answerof-496' value='2132' \/>&nbsp;<label for='answer-id-2132' id='answer-label-2132' class=' answer label-9'><span class='answer'>If Yoda can help Luke win the battle, then he can use a lightsaber.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2133' \/><div class='watu-question-choice'><input type='radio' name='answer-496[]' id='answer-id-2133' class='answer answer-9  answerof-496' value='2133' \/>&nbsp;<label for='answer-id-2133' id='answer-label-2133' class=' answer label-9'><span class='answer'>Yoda can use a lightsaber if and only if he can help Luke win the battle.<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType9' value='radio' class=''><\/div><div class='watu-question' id='question-10'><div class='question-content'><p><span class='watu_num'>10. <\/span><strong>Which of the following is an open sentence?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='505' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2168' \/><div class='watu-question-choice'><input type='radio' name='answer-505[]' id='answer-id-2168' class='answer answer-10  answerof-505' value='2168' \/>&nbsp;<label for='answer-id-2168' id='answer-label-2168' class=' answer label-10'><span class='answer'>Albany is a city in New York State.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2169' \/><div class='watu-question-choice'><input type='radio' name='answer-505[]' id='answer-id-2169' class='answer answer-10  answerof-505' value='2169' \/>&nbsp;<label for='answer-id-2169' id='answer-label-2169' class=' answer label-10'><span class='answer'>It was blue with white stripes.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2170' \/><div class='watu-question-choice'><input type='radio' name='answer-505[]' id='answer-id-2170' class='answer answer-10  answerof-505' value='2170' \/>&nbsp;<label for='answer-id-2170' id='answer-label-2170' class=' answer label-10'><span class='answer'>5(20)+3=113.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2167' \/><div class='watu-question-choice'><input type='radio' name='answer-505[]' id='answer-id-2167' class='answer answer-10  answerof-505' value='2167' \/>&nbsp;<label for='answer-id-2167' id='answer-label-2167' class=' answer label-10'><span class='answer'>A trapezoid is a four-sided polygon.<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType10' value='radio' class=''><\/div><div class='watu-question' id='question-11'><div class='question-content'><p><span class='watu_num'>11. <\/span><strong>If Shelly does not like John, what is the truth value of the statement &#8220;Shelly likes Mike and she likes John.&#8221;?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='497' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2137' \/><div class='watu-question-choice'><input type='radio' name='answer-497[]' id='answer-id-2137' class='answer answer-11  answerof-497' value='2137' \/>&nbsp;<label for='answer-id-2137' id='answer-label-2137' class=' answer label-11'><span class='answer'>Shelly likes Peter.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2138' \/><div class='watu-question-choice'><input type='radio' name='answer-497[]' id='answer-id-2138' class='answer answer-11  answerof-497' value='2138' \/>&nbsp;<label for='answer-id-2138' id='answer-label-2138' class=' answer label-11'><span class='answer'>None of the above.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2136' \/><div class='watu-question-choice'><input type='radio' name='answer-497[]' id='answer-id-2136' class='answer answer-11  answerof-497' value='2136' \/>&nbsp;<label for='answer-id-2136' id='answer-label-2136' class=' answer label-11'><span class='answer'>False.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2135' \/><div class='watu-question-choice'><input type='radio' name='answer-497[]' id='answer-id-2135' class='answer answer-11  answerof-497' value='2135' \/>&nbsp;<label for='answer-id-2135' id='answer-label-2135' class=' answer label-11'><span class='answer'>True.<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType11' value='radio' class=''><\/div><div class='watu-question' id='question-12'><div class='question-content'><p><span class='watu_num'>12. <\/span><strong>Which of the following integers makes this open sentence true?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='507' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2178' \/><div class='watu-question-choice'><input type='radio' name='answer-507[]' id='answer-id-2178' class='answer answer-12  answerof-507' value='2178' \/>&nbsp;<label for='answer-id-2178' id='answer-label-2178' class=' answer label-12'><span class='answer'>None of the above.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2177' \/><div class='watu-question-choice'><input type='radio' name='answer-507[]' id='answer-id-2177' class='answer answer-12  answerof-507' value='2177' \/>&nbsp;<label for='answer-id-2177' id='answer-label-2177' class=' answer label-12'><span class='answer'>6<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2175' \/><div class='watu-question-choice'><input type='radio' name='answer-507[]' id='answer-id-2175' class='answer answer-12  answerof-507' value='2175' \/>&nbsp;<label for='answer-id-2175' id='answer-label-2175' class=' answer label-12'><span class='answer'>4<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2176' \/><div class='watu-question-choice'><input type='radio' name='answer-507[]' id='answer-id-2176' class='answer answer-12  answerof-507' value='2176' \/>&nbsp;<label for='answer-id-2176' id='answer-label-2176' class=' answer label-12'><span class='answer'>5<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType12' value='radio' class=''><\/div><div class='watu-question' id='question-13'><div class='question-content'><p><span class='watu_num'>13. <\/span><strong>What is true about the statement &#8220;If two angles are right angles, the angles have equal measure&#8221; and its converse &#8220;If two angles have equal measure then the two angles are right angles&#8221;?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='491' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2111' \/><div class='watu-question-choice'><input type='radio' name='answer-491[]' id='answer-id-2111' class='answer answer-13  answerof-491' value='2111' \/>&nbsp;<label for='answer-id-2111' id='answer-label-2111' class=' answer label-13'><span class='answer'>The statement is true but its converse is false.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2113' \/><div class='watu-question-choice'><input type='radio' name='answer-491[]' id='answer-id-2113' class='answer answer-13  answerof-491' value='2113' \/>&nbsp;<label for='answer-id-2113' id='answer-label-2113' class=' answer label-13'><span class='answer'>Both the statement and its converse are false.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2114' \/><div class='watu-question-choice'><input type='radio' name='answer-491[]' id='answer-id-2114' class='answer answer-13  answerof-491' value='2114' \/>&nbsp;<label for='answer-id-2114' id='answer-label-2114' class=' answer label-13'><span class='answer'>Both the statement and its converse are true.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2112' \/><div class='watu-question-choice'><input type='radio' name='answer-491[]' id='answer-id-2112' class='answer answer-13  answerof-491' value='2112' \/>&nbsp;<label for='answer-id-2112' id='answer-label-2112' class=' answer label-13'><span class='answer'>The statement is false but its converse is true.<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType13' value='radio' class=''><\/div><div class='watu-question' id='question-14'><div class='question-content'><p><span class='watu_num'>14. <\/span><strong>&#8220;If Tom buys a red skateboard, then Amanda buys green in-line skates.&#8221; Which statement below is logically equivalent?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='493' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2120' \/><div class='watu-question-choice'><input type='radio' name='answer-493[]' id='answer-id-2120' class='answer answer-14  answerof-493' value='2120' \/>&nbsp;<label for='answer-id-2120' id='answer-label-2120' class=' answer label-14'><span class='answer'>If Tom does not buy a red skateboard, then Amanda does not buy green in-line skates.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2122' \/><div class='watu-question-choice'><input type='radio' name='answer-493[]' id='answer-id-2122' class='answer answer-14  answerof-493' value='2122' \/>&nbsp;<label for='answer-id-2122' id='answer-label-2122' class=' answer label-14'><span class='answer'>If Tom buys a red skateboard, then Amanda does not buy green in-line skates.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2121' \/><div class='watu-question-choice'><input type='radio' name='answer-493[]' id='answer-id-2121' class='answer answer-14  answerof-493' value='2121' \/>&nbsp;<label for='answer-id-2121' id='answer-label-2121' class=' answer label-14'><span class='answer'>If Amanda buys green in-line skates, then Tom buys a red skateboard.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2119' \/><div class='watu-question-choice'><input type='radio' name='answer-493[]' id='answer-id-2119' class='answer answer-14  answerof-493' value='2119' \/>&nbsp;<label for='answer-id-2119' id='answer-label-2119' class=' answer label-14'><span class='answer'>If Amanda does not buy green in-line skates, then Tom does not buy a red skate-board.<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType14' value='radio' class=''><\/div><div class='watu-question' id='question-15'><div class='question-content'><p><span class='watu_num'>15. <\/span><strong>Mary says &#8220;The number I am thinking is divisible by 2 or it is divisible by 3&#8221;. This statement is false if the number Mary is thinking of is _______________.<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='492' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2118' \/><div class='watu-question-choice'><input type='radio' name='answer-492[]' id='answer-id-2118' class='answer answer-15  answerof-492' value='2118' \/>&nbsp;<label for='answer-id-2118' id='answer-label-2118' class=' answer label-15'><span class='answer'>15<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2117' \/><div class='watu-question-choice'><input type='radio' name='answer-492[]' id='answer-id-2117' class='answer answer-15  answerof-492' value='2117' \/>&nbsp;<label for='answer-id-2117' id='answer-label-2117' class=' answer label-15'><span class='answer'>11<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2115' \/><div class='watu-question-choice'><input type='radio' name='answer-492[]' id='answer-id-2115' class='answer answer-15  answerof-492' value='2115' \/>&nbsp;<label for='answer-id-2115' id='answer-label-2115' class=' answer label-15'><span class='answer'>6<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2116' \/><div class='watu-question-choice'><input type='radio' name='answer-492[]' id='answer-id-2116' class='answer answer-15  answerof-492' value='2116' \/>&nbsp;<label for='answer-id-2116' id='answer-label-2116' class=' answer label-15'><span class='answer'>8<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType15' value='radio' class=''><\/div><div class='watu-question' id='question-16'><div class='question-content'><p><span class='watu_num'>16. <\/span><strong>Which statement represents the inverse of the statement &#8220;If it is snowing, then Skeeter wears a sweater.&#8221;?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='494' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2123' \/><div class='watu-question-choice'><input type='radio' name='answer-494[]' id='answer-id-2123' class='answer answer-16  answerof-494' value='2123' \/>&nbsp;<label for='answer-id-2123' id='answer-label-2123' class=' answer label-16'><span class='answer'>If Skeeter wears a sweater, then it is snowing.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2124' \/><div class='watu-question-choice'><input type='radio' name='answer-494[]' id='answer-id-2124' class='answer answer-16  answerof-494' value='2124' \/>&nbsp;<label for='answer-id-2124' id='answer-label-2124' class=' answer label-16'><span class='answer'>If Skeeter does not wear a sweater, then it is not snowing.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2126' \/><div class='watu-question-choice'><input type='radio' name='answer-494[]' id='answer-id-2126' class='answer answer-16  answerof-494' value='2126' \/>&nbsp;<label for='answer-id-2126' id='answer-label-2126' class=' answer label-16'><span class='answer'>If it is not snowing, then Skeeter wears a sweater.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2125' \/><div class='watu-question-choice'><input type='radio' name='answer-494[]' id='answer-id-2125' class='answer answer-16  answerof-494' value='2125' \/>&nbsp;<label for='answer-id-2125' id='answer-label-2125' class=' answer label-16'><span class='answer'>If it is not snowing, then Skeeter does not wear a sweater.<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType16' value='radio' class=''><\/div><div class='watu-question' id='question-17'><div class='question-content'><p><span class='watu_num'>17. <\/span><strong>The sentence &#8220;____ if and only if x + x = 3x&#8221; is TRUE. Which of the following could be used to fill in the blank?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='502' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2157' \/><div class='watu-question-choice'><input type='radio' name='answer-502[]' id='answer-id-2157' class='answer answer-17  answerof-502' value='2157' \/>&nbsp;<label for='answer-id-2157' id='answer-label-2157' class=' answer label-17'><span class='answer'>Both 1 and 2 could be used.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2155' \/><div class='watu-question-choice'><input type='radio' name='answer-502[]' id='answer-id-2155' class='answer answer-17  answerof-502' value='2155' \/>&nbsp;<label for='answer-id-2155' id='answer-label-2155' class=' answer label-17'><span class='answer'>x + x = 2x.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2158' \/><div class='watu-question-choice'><input type='radio' name='answer-502[]' id='answer-id-2158' class='answer answer-17  answerof-502' value='2158' \/>&nbsp;<label for='answer-id-2158' id='answer-label-2158' class=' answer label-17'><span class='answer'>Neither 1 nor 2 could be used.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2156' \/><div class='watu-question-choice'><input type='radio' name='answer-502[]' id='answer-id-2156' class='answer answer-17  answerof-502' value='2156' \/>&nbsp;<label for='answer-id-2156' id='answer-label-2156' class=' answer label-17'><span class='answer'>2x &#8211; x = 2x.<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType17' value='radio' class=''><\/div><div class='watu-question' id='question-18'><div class='question-content'><p><span class='watu_num'>18. <\/span><strong>&#8220;If Deb and Sam go to the mall, then it is snowing.&#8221; Which statement below is logically equivalent?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='508' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2179' \/><div class='watu-question-choice'><input type='radio' name='answer-508[]' id='answer-id-2179' class='answer answer-18  answerof-508' value='2179' \/>&nbsp;<label for='answer-id-2179' id='answer-label-2179' class=' answer label-18'><span class='answer'>If Deb and Sam do not go to the mall, then it is not snowing.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2182' \/><div class='watu-question-choice'><input type='radio' name='answer-508[]' id='answer-id-2182' class='answer answer-18  answerof-508' value='2182' \/>&nbsp;<label for='answer-id-2182' id='answer-label-2182' class=' answer label-18'><span class='answer'>If it is not snowing, then Deb and Sam do not go to the mall.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2180' \/><div class='watu-question-choice'><input type='radio' name='answer-508[]' id='answer-id-2180' class='answer answer-18  answerof-508' value='2180' \/>&nbsp;<label for='answer-id-2180' id='answer-label-2180' class=' answer label-18'><span class='answer'>If Deb and Sam do not go to the mall, them it is snowing.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2181' \/><div class='watu-question-choice'><input type='radio' name='answer-508[]' id='answer-id-2181' class='answer answer-18  answerof-508' value='2181' \/>&nbsp;<label for='answer-id-2181' id='answer-label-2181' class=' answer label-18'><span class='answer'>If it is snowing, then Deb and Sam go to the mall.<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType18' value='radio' class=''><\/div><div class='watu-question' id='question-19'><div class='question-content'><p><span class='watu_num'>19. <\/span><strong>In a class of 50 students, 18 take music, 26 take art, and 2 take both art and music. How many students in the class are not enrolled in either music or art?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='490' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2109' \/><div class='watu-question-choice'><input type='radio' name='answer-490[]' id='answer-id-2109' class='answer answer-19  answerof-490' value='2109' \/>&nbsp;<label for='answer-id-2109' id='answer-label-2109' class=' answer label-19'><span class='answer'>16<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2110' \/><div class='watu-question-choice'><input type='radio' name='answer-490[]' id='answer-id-2110' class='answer answer-19  answerof-490' value='2110' \/>&nbsp;<label for='answer-id-2110' id='answer-label-2110' class=' answer label-19'><span class='answer'>24<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2107' \/><div class='watu-question-choice'><input type='radio' name='answer-490[]' id='answer-id-2107' class='answer answer-19  answerof-490' value='2107' \/>&nbsp;<label for='answer-id-2107' id='answer-label-2107' class=' answer label-19'><span class='answer'>6<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2108' \/><div class='watu-question-choice'><input type='radio' name='answer-490[]' id='answer-id-2108' class='answer answer-19  answerof-490' value='2108' \/>&nbsp;<label for='answer-id-2108' id='answer-label-2108' class=' answer label-19'><span class='answer'>8<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType19' value='radio' class=''><\/div><div class='watu-question' id='question-20'><div class='question-content'><p><span class='watu_num'>20. <\/span><strong>The statement &#8220;x&gt;5 or x&lt;3&#8221; is true if x equals?<\/strong><\/p>\n<\/div><input type='hidden' name='question_id[]' value='500' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2150' \/><div class='watu-question-choice'><input type='radio' name='answer-500[]' id='answer-id-2150' class='answer answer-20  answerof-500' value='2150' \/>&nbsp;<label for='answer-id-2150' id='answer-label-2150' class=' answer label-20'><span class='answer'>5<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2147' \/><div class='watu-question-choice'><input type='radio' name='answer-500[]' id='answer-id-2147' class='answer answer-20  answerof-500' value='2147' \/>&nbsp;<label for='answer-id-2147' id='answer-label-2147' class=' answer label-20'><span class='answer'>1<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2148' \/><div class='watu-question-choice'><input type='radio' name='answer-500[]' id='answer-id-2148' class='answer answer-20  answerof-500' value='2148' \/>&nbsp;<label for='answer-id-2148' id='answer-label-2148' class=' answer label-20'><span class='answer'>3<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='2149' \/><div class='watu-question-choice'><input type='radio' name='answer-500[]' id='answer-id-2149' class='answer answer-20  answerof-500' value='2149' \/>&nbsp;<label for='answer-id-2149' id='answer-label-2149' class=' answer label-20'><span class='answer'>4<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType20' value='radio' class=''><\/div><div style='display:none' id='question-21'><br \/><div class='question-content'><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/giasuquocte.edu.vn\/wp-content\/plugins\/watu\/loading.gif\" width=\"16\" height=\"16\" alt=\"Loading ...\" title=\"Loading ...\" \/>&nbsp;Loading &#8230;<\/div><\/div><br \/>\n<input type=\"button\" name=\"action\" onclick=\"Watu.submitResult()\" id=\"action-button\" value=\"Submit\"  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