Questions 31–40 of 50. Imported answers require independent review unless marked reviewed.

Topic practice 50 questionsPage 4 of 5

Question 4

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It takes two hours for a person X to mow the lawn. Y can mow the same lawn in four hours. How long (in minutes) will it take X and Y, if they work together to mow the lawn?
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Question 6

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How many integers are there between 100 and 1000 all of whose digits are even?
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Question 7

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GAMCQ2 marksNeeds review
The ratio of the number of boys and girls who participated in an examination is 4:3. The total percentage of candidates who passed the examination is 80 and the percentage of girls who passed is 90. The percentage of boys who passed is ______.
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Question 9

Open question
GAMCQ2 marksNeeds review
Given two sets

and

, we construct a set

of all possible fractions where the numerators belong to set

and the denominators belong to set

. The product of elements having minimum and maximum values in the set

is ____.
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Question 3

Open question
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The three roots of the equation

are

. What are the three values of

for which

?
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Question 4

Open question
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For what values of

given below is

an integer?
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Question 5

Open question
GAMCQ1 markNeeds review
Functions

and

are defined as follows:

and

, where

represents the absolute value of

. What would be the value of

?
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Question 6

Open question
GAMCQ2 marksNeeds review
An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible?
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Question 8

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A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?
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Question 9

Open question
GAMCQ2 marksNeeds review
A designer uses marbles of four different colours for his designs. The cost of each marble is the same, irrespective of the colour. The table below shows the percentage of marbles of each colour used in the current design. The cost of each marble increased by 25%. Therefore, the designer decided to reduce equal numbers of marbles of each colour to keep the total cost unchanged. What is the percentage of blue marbles in the new design?
Blue
Black
Red
Yellow
40%
25%
20%
15%
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