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question_answer1)
p: Every fraction is a rational number. |
q: Every rational number is a fraction. |
Which of the following is correct?
A)
p is true and q is false. done
clear
B)
p is false and q is true. done
clear
C)
Both p and q are true. done
clear
D)
Both p and q are false. done
clear
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question_answer2)
Which of the following is not a rational number(s)?
A)
\[\frac{-2}{9}\] done
clear
B)
\[\frac{4}{-7}\] done
clear
C)
\[\frac{-3}{-17}\] done
clear
D)
\[\frac{-3}{-17}\] done
clear
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question_answer3)
p: All integers are rational numbers. |
q: Every rational number is an integer. |
Which of the following statements is correct?
A)
p is false and q is true. done
clear
B)
p is true and q is false. done
clear
C)
Both p and q are true. done
clear
D)
Both p and q are false. done
clear
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question_answer4)
What type of a number is \[\frac{-3}{0}\]?
A)
A positive rational number. done
clear
B)
A negative rational number. done
clear
C)
Either a positive or a negative rational number. done
clear
D)
Neither a positive nor a negative rational number. done
clear
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question_answer5)
Which among the following is a rational number equivalent to \[\frac{5}{3}\]?
A)
\[\frac{-20}{15}\] done
clear
B)
\[\frac{25}{-15}\] done
clear
C)
\[\frac{25}{15}\] done
clear
D)
\[\frac{15}{25}\] done
clear
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question_answer6)
What type of a numerator does \[\frac{0}{7}\] have?
A)
Positive done
clear
B)
Negative done
clear
C)
Either positive or negative done
clear
D)
Neither positive nor negative done
clear
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question_answer7)
Which of the following statements is true?
A)
\[\frac{3}{-8}>\frac{-12}{32}\] done
clear
B)
\[\frac{3}{-8}=\frac{-12}{32}\] done
clear
C)
\[\frac{3}{-8}<\frac{-12}{32}\] done
clear
D)
\[\frac{3}{5}>\frac{4}{3}\] done
clear
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question_answer8)
If \[\frac{-4}{7}=\frac{-32}{x},\] what is the value of x?
A)
\[-56\] done
clear
B)
\[56\] done
clear
C)
\[46\] done
clear
D)
\[-46\] done
clear
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question_answer9)
Which is the greatest?
A)
\[\frac{-5}{11}\] done
clear
B)
\[\frac{5}{-12}\] done
clear
C)
\[\frac{-5}{17}\] done
clear
D)
\[\frac{-5}{13}\] done
clear
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question_answer10)
Which is the correct descending order of \[-2,\frac{4}{-5},\frac{-11}{20},\frac{3}{4}\]?
A)
\[\frac{3}{4}>-2>\frac{-11}{20}>\frac{4}{-5}\] done
clear
B)
\[\frac{3}{4}>\frac{-11}{20}>\frac{-4}{5}>-2\] done
clear
C)
\[\frac{3}{4}>\frac{4}{-5}>-2>\frac{-11}{20}\] done
clear
D)
\[\frac{3}{4}>\frac{4}{-5}>\frac{-11}{20}>-2\] done
clear
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question_answer11)
What is the average of the two middle rational numbers if \[\frac{4}{7},\frac{1}{3},\frac{2}{5}\] and \[\frac{5}{9}\] are arranged in ascending order?
A)
\[\frac{80}{90}\] done
clear
B)
\[\frac{86}{45}\] done
clear
C)
\[\frac{43}{45}\] done
clear
D)
\[\frac{43}{90}\] done
clear
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question_answer12)
What is the percentage of the least number in the greatest number of \[\frac{3}{5},\,\frac{9}{5},\,\frac{1}{5}\] and \[\frac{7}{5}\] ?
A)
\[11\frac{1}{9}%\] done
clear
B)
\[10%\] done
clear
C)
\[20%\] done
clear
D)
\[25%\] done
clear
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question_answer13)
What is the difference between the greatest and least numbers of \[\frac{5}{9},\frac{1}{9}\] and \[\frac{11}{9}\] ?
A)
\[\frac{2}{9}\] done
clear
B)
\[\frac{4}{9}\] done
clear
C)
\[\frac{10}{9}\] done
clear
D)
\[\frac{2}{3}\] done
clear
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question_answer14)
Which of the following pairs represent the same rational number?
A)
\[\frac{-7}{21}\] and \[\frac{1}{3}\] done
clear
B)
\[\frac{1}{3}\] and \[\frac{-1}{9}\] done
clear
C)
\[\frac{-5}{-9}\] and \[\frac{5}{-9}\] done
clear
D)
\[\frac{8}{-5}\] and \[\frac{-24}{15}\] done
clear
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question_answer15)
P: The quotient of two integers is always a rational number. Q : \[\frac{1}{0}\]is not rational. Which of the following statements is true?
A)
P is true and Q is the correct explanation of P. done
clear
B)
P is false and Q is the correct explanation of P. done
clear
C)
P is true and Q is false. done
clear
D)
Both P and Q are false. done
clear
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question_answer16)
What is the result of \[2-\frac{11}{39}+\frac{5}{26}\]?
A)
\[\frac{149}{39}\] done
clear
B)
\[\frac{149}{78}\] done
clear
C)
\[\frac{149}{76}\] done
clear
D)
\[\frac{149}{98}\] done
clear
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question_answer17)
Which is the equivalent of \[\frac{-143}{21}\]?
A)
\[-6+\frac{17}{21}\] done
clear
B)
\[6+\left( \frac{-17}{21} \right)\] done
clear
C)
\[(-6)+\left( \frac{-17}{21} \right)\] done
clear
D)
\[-6\] done
clear
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question_answer18)
of which property is\[\frac{-7}{5}+\left( \frac{2}{-11}+\frac{-13}{25} \right)=\left( \frac{-7}{5}+\frac{2}{-11} \right)+\frac{-13}{25}\] an example?
A)
Closure property done
clear
B)
Commutative property done
clear
C)
Associative property done
clear
D)
Identity property done
clear
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question_answer19)
Which of the following statements is correct?
A)
0 is called the additive identity for rational numbers. done
clear
B)
1 is called the multiplicative identity for rational numbers. done
clear
C)
The additive inverse of 0 is zero itself. done
clear
D)
All the above. done
clear
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question_answer20)
The sum of two rational numbers is \[-3\]. If one of the numbers is \[\frac{-7}{5},\] find the other number.
A)
\[\frac{-8}{5}\] done
clear
B)
\[\frac{8}{5}\] done
clear
C)
\[\frac{-6}{5}\] done
clear
D)
\[\frac{6}{5}\] done
clear
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question_answer21)
What number should be added to \[\frac{-5}{6}\] to get \[\frac{3}{2}\]?
A)
\[\frac{-7}{3}\] done
clear
B)
\[2\frac{1}{3}\] done
clear
C)
\[\frac{8}{3}\] done
clear
D)
\[\frac{-8}{3}\] done
clear
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question_answer22)
Which of the following statements is true?
A)
The reciprocals of 1 and \[-1\] are themselves. done
clear
B)
Zero has no reciprocal. done
clear
C)
The product of two rational numbers is a rational number. done
clear
D)
All the above. done
clear
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question_answer23)
Name the property of multiplication illustrated by \[\frac{-4}{3}\times \left( \frac{-6}{5}+\frac{8}{7} \right)=\left( \frac{-4}{3}\times \frac{-6}{5} \right)+\left( \frac{-4}{3}\times \frac{8}{7} \right)\]
A)
Associative property done
clear
B)
Commutative property done
clear
C)
Distributive property done
clear
D)
Closure property done
clear
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question_answer24)
What is the product of a rational number and its reciprocal?
A)
\[0\] done
clear
B)
\[1\] done
clear
C)
\[-1\] done
clear
D)
\[2\] done
clear
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question_answer25)
The product of two rational numbers is \[\frac{-9}{16}\]. If one of the numbers is \[\frac{-4}{3}\] what is the other number?
A)
\[\frac{36}{48}\] done
clear
B)
\[\frac{25}{64}\] done
clear
C)
\[\frac{27}{49}\] done
clear
D)
\[\frac{27}{64}\] done
clear
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question_answer26)
By what rational number should \[\frac{-8}{39}\]. Be multiplied to obtain 26?
A)
\[\frac{507}{4}\] done
clear
B)
\[\frac{-507}{4}\] done
clear
C)
\[\frac{407}{4}\] done
clear
D)
\[-\frac{407}{4}\] done
clear
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question_answer27)
How many pieces of equal size can be cut from a rope of 30 metres long, each measuring \[3\frac{3}{4}\]metres?
A)
\[8\] done
clear
B)
\[10\] done
clear
C)
\[6\] done
clear
D)
\[12\] done
clear
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question_answer28)
Evaluate \[p+q\] given \[p=\left( -2\frac{1}{5} \right)\] and \[q=\left( -1\frac{1}{3} \right)\].
A)
\[1\frac{8}{15}\] done
clear
B)
\[\left( -3\frac{8}{15} \right)\] done
clear
C)
\[\left( -2\frac{8}{15} \right)\] done
clear
D)
\[3\frac{8}{15}\] done
clear
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question_answer29)
Compute \[1\frac{1}{4}+\left( \frac{-8}{3} \right)-\left( \frac{-5}{9} \right)\].
A)
\[\frac{-31}{36}\] done
clear
B)
\[\frac{13}{36}\] done
clear
C)
\[\frac{15}{36}\] done
clear
D)
\[\frac{-29}{36}\] done
clear
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question_answer30)
Find the value of \[-6\frac{2}{3}\times \frac{2}{5}\]
A)
\[2\frac{2}{3}\] done
clear
B)
\[2\frac{1}{5}\] done
clear
C)
\[-2\frac{2}{3}\] done
clear
D)
\[-2\frac{1}{3}\] done
clear
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question_answer31)
For what value of 'x' is\[\frac{7}{8}-\left( -\frac{11}{4} \right)+x=3\frac{7}{24}?\]
A)
\[\frac{-1}{3}\] done
clear
B)
\[\frac{1}{3}\] done
clear
C)
\[\frac{2}{3}\] done
clear
D)
\[-3\] done
clear
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question_answer32)
Determine 'y' so that \[y-2\frac{1}{3}=\left( -3\frac{7}{12} \right)\].
A)
\[-1\frac{1}{4}\] done
clear
B)
\[1\frac{1}{4}\] done
clear
C)
\[-1\frac{1}{12}\] done
clear
D)
\[1\frac{1}{12}\] done
clear
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question_answer33)
Find the simplest form of \[\left( -\frac{1}{2}+\frac{1}{3}+\frac{1}{6} \right)\left( \frac{-2}{5} \right)\]
A)
\[\frac{-2}{5}\] done
clear
B)
\[0\] done
clear
C)
\[1\] done
clear
D)
\[\frac{2}{5}\] done
clear
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question_answer34)
Rohit, Peter and Santosh walk around a circular park. They take . \[\frac{1}{3}h,\frac{2}{5}h,\]and \[\frac{5}{12}h\]to complete one round. What is the total time taken by them to complete a round in minutes?
A)
79 minutes done
clear
B)
50 minutes done
clear
C)
60 minutes done
clear
D)
69 minutes done
clear
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question_answer35)
Find a rational number between \[\frac{3}{4}\] and \[\frac{9}{11}\].
A)
\[\frac{1}{2}\] done
clear
B)
\[\frac{13}{11}\] done
clear
C)
\[\frac{69}{88}\] done
clear
D)
\[\frac{1}{4}\] done
clear
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question_answer36)
What should be added to \[\frac{-7}{8}\] to get \[\frac{4}{9}\]?
A)
\[\frac{72}{95}\] done
clear
B)
\[\frac{95}{72}\] done
clear
C)
\[\frac{-72}{95}\] done
clear
D)
\[\frac{-95}{72}\] done
clear
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question_answer37)
What should be subtracted from \[\frac{-2}{3}\]to get \[\frac{5}{6}\]?
A)
\[\frac{3}{2}\] done
clear
B)
\[\frac{-3}{2}\] done
clear
C)
\[\frac{2}{3}\] done
clear
D)
\[\frac{-2}{3}\] done
clear
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question_answer38)
What is the reciprocal of \[-8\]?
A)
\[8\] done
clear
B)
\[\frac{1}{8}\] done
clear
C)
\[\frac{-1}{8}\] done
clear
D)
\[-8\] done
clear
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question_answer39)
What is the sum of the rational numbers \[\frac{2}{5}\] and \[\frac{-3}{7}\]?
A)
\[0\] done
clear
B)
\[1\] done
clear
C)
\[\frac{1}{35}\] done
clear
D)
\[-\frac{1}{35}\] done
clear
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question_answer40)
By what number should \[\frac{-33}{8}\] be divided to get \[\frac{-11}{2}\]?
A)
\[\frac{-4}{3}\] done
clear
B)
\[\frac{4}{3}\] done
clear
C)
\[\frac{3}{4}\] done
clear
D)
\[\frac{-3}{4}\] done
clear
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question_answer41)
Express \[\left[ \frac{-1}{4}-\left( \frac{-1}{6} \right) \right]\div \left[ \frac{1}{3}+\left( \frac{1}{2} \right) \right]\] in the simplest form.
A)
\[\frac{-2}{3}\] done
clear
B)
\[\frac{1}{2}\] done
clear
C)
\[\frac{2}{3}\] done
clear
D)
\[\frac{-1}{2}\] done
clear
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question_answer42)
Given \[a=1\frac{5}{7},b=\frac{1}{4},c=\frac{1}{9}\]and \[d=\left( -1\frac{1}{4} \right),\] evaluate \[a(b-c)\div d\]
A)
\[\frac{-4}{21}\] done
clear
B)
\[\frac{-6}{23}\] done
clear
C)
\[\frac{-5}{27}\] done
clear
D)
\[\frac{4}{21}\] done
clear
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