Questions 31–39 of 39. Imported answers require independent review unless marked reviewed.

Topic practice 39 questionsPage 4 of 4

Question 5

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GAMCQ1 markNeeds review
Arrange the following three-dimensional objects in the descending order of their volumes: (i) A cuboid with dimensions 10 cm, 8 cm and 6 cm (ii) A cube of side 8 cm (iii) A cylinder with base radius 7 cm and height 7 cm (iv) A sphere of radius 7 cm
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Question 6

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GAMCQ2 marksNeeds review
An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at 60 km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey?
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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 correctly. 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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Question 60

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500 students are taking one or more courses out of Chemistry, Physics, and Mathematics. Registration records indicate course enrolment as follows: Chemistry (329), Physics (186), Mathematics (295), Chemistry and Physics (83), Chemistry and Mathematics (217), and Physics and Mathematics (63). How many students are taking all 3 subjects?
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Question 63

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120 men and 500 women can build a bridge in 2 weeks. 900 men and 250 women will take 3 weeks to build the same bridge. How many men will be needed to build the bridge in one week?
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Question 64

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The number of 3-digit numbers such that the digit 1 is never to the immediate right of 2 is
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Question 65

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GAMCQ2 marksNeeds review
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot.
Diagram for Metallurgical Engineering question 65

Which of the following is the steepest path leaving from P?
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