Questions 41–49 of 49. Imported answers require independent review unless marked reviewed.

Topic practice 49 questionsPage 5 of 5

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 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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Question 88

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GAMCQ1 markNeeds review
If

and

are integers and

is even, which of the following must always be even?
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Question 89

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A couple has 2 children. The probability that both children are boys if the older one is a boy is
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Question 92

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GAMCQ2 marksNeeds review
X bullocks and Y tractors take 8 days to plough a field. If we halve the number of bullocks and double the number of tractors, it takes 5 days to plough the same field. How many days will it take X bullocks alone to plough the field?
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Question 93

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There are 4 women P, Q, R, S and 5 men V, W, X, Y, Z in a group. We are required to form pairs each consisting of one woman and one man. P is not to be paired with Z, and Y must necessarily be paired with someone. In how many ways can 4 such pairs be formed?
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Question 95

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In the graph below, the concentration of a particular pollutant in a lake is plotted over (alternate) days of a month in winter (average temperature 10 °C) and a month in summer (average temperature 30 °C).
Diagram for Geology and Geophysics question 95

Consider the following statements based on the data shown above:
i. Over the given months, the difference between the maximum and the minimum pollutant concentrations is the same in both winter and summer. ii. There are at least four days in the summer month such that the pollutant concentrations on those days are within 1 ppm of the pollutant concentrations on the corresponding days in the winter month.
Which one of the following options is correct?
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