Questions 41–50 of 50. Imported answers require independent review unless marked reviewed.

Topic practice 50 questionsPage 5 of 5

Question 59

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Find the smallest number

such that

is a perfect cube.
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Question 59

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A test has twenty questions worth 100 marks in total. There are two types of questions. Multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have?
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Question 60

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The probability that a

-digit number does NOT contain the digits 0, 5, or 9 is
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Question 60

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There are 3 red socks, 4 green socks and 3 blue socks. You choose 2 socks. The probability that they are of the same colour is
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Question 63

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The expression

is equal to
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Question 63

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X is a 30 digit number starting with the digit 4 followed by the digit 7. Then the number

will have
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Question 64

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Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured red, pink, blue and white respectively: Arun dislikes the colour red and Shweta dislikes the colour white. Gulab and Neel like all the colours. In how many different ways can they choose the shirts so that no one has a shirt with a colour he or she dislikes?
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Question 64

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The number of roots of

in the range

is
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Question 65

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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. If in a flood, the water level rises to 525 m, which of the villages P, Q, R, S, T get submerged?
Diagram for Electrical Engineering question 65

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Question 65

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An air pressure contour line joins locations in a region having the same atmospheric pressure. The following is an air pressure contour plot of a geographical region. Contour lines are shown at 0.05 bar intervals in this plot.
Diagram for Electrical Engineering question 65

If the possibility of a thunderstorm is given by how fast air pressure rises or drops over a region, which of the following regions is most likely to have a thunderstorm?
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