Complete GATE GG-1 2018 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 7–9 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 3 of 22

Question 7

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A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed?
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Question 8

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To pass a test, a candidate needs to answer at least 2 out of 3 questions correct. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?
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Question 9

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If

what is the value of

?
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