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question_answer1)
Which of the following statements is incorrect?
A)
A rational number is of the form\[\frac{x}{y}\], where x and y are integers and\[y\ne 0.\] done
clear
B)
The product of two negative rational number is negative rational number. done
clear
C)
There are infinite rational numbers between any two rational numbers. done
clear
D)
All fractions greater than 1 are rational numbers. done
clear
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question_answer2)
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_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)
Which of the following is not a rational number(s)?
A)
\[\frac{-2}{19}\] done
clear
B)
\[\frac{2}{-8}\] done
clear
C)
\[\frac{-3}{-13}\] done
clear
D)
\[\frac{\sqrt{2}}{6}\] done
clear
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question_answer5)
What type of a number is\[\frac{-6}{0}\]?
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_answer6)
Which of the following pairs of numbers is not a pair of equivalent rational numbers?
A)
\[\frac{13}{2}\] and \[\frac{65}{10}\] done
clear
B)
\[\frac{15}{36}\] and \[\frac{63}{108}\] done
clear
C)
\[\frac{4}{5}\] and \[\frac{16}{20}\] done
clear
D)
None of these done
clear
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question_answer7)
Which among the following is a rational number equivalent to\[\frac{-13}{3}\]?
A)
\[\frac{-100}{27}\] done
clear
B)
\[\frac{26}{6}\] done
clear
C)
\[\frac{-117}{27}\] done
clear
D)
\[\frac{15}{25}\] done
clear
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question_answer8)
What type of a numerator does \[\frac{0}{9}\]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_answer9)
How can the rational numbers \[\frac{11}{15},\frac{-11}{12},\frac{-4}{9}\] and\[\frac{7}{12}\]be written in ascending order?
A)
\[\frac{-11}{12}<\frac{-4}{9}<\frac{11}{15}<\frac{7}{12}\] done
clear
B)
\[\frac{-11}{12}<\frac{-4}{9}<\frac{7}{12}<\frac{11}{15}\] done
clear
C)
\[\frac{-4}{9}<\frac{-11}{12}<\frac{7}{12}<\frac{11}{15}\] done
clear
D)
\[\frac{-4}{9}<\frac{-11}{12}<\frac{11}{15}<\frac{7}{12}\] done
clear
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question_answer10)
Which of the following statements is true?
A)
\[\frac{5}{-8}>\frac{-20}{32}\] done
clear
B)
\[\frac{5}{-8}=\frac{-20}{32}\] done
clear
C)
\[\frac{5}{-8}<\frac{-20}{32}\] done
clear
D)
\[\frac{5}{6}<\frac{11}{12}\] done
clear
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question_answer11)
If \[\frac{-4}{9}=\frac{-16}{x},\] what is the value of x?
A)
36 done
clear
B)
\[-36~\] done
clear
C)
42 done
clear
D)
\[-42\] done
clear
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question_answer12)
Which row is incorrectly matched?
Row | Rational Number | Standard Form |
A. | \[\frac{22}{-42}\] | \[\frac{1}{2}\] |
B. | \[\frac{-12}{-21}\] | \[\frac{4}{7}\] |
C. | \[\frac{27}{30}\] | \[\frac{9}{10}\] |
D. | \[\frac{-32}{56}\] | \[\frac{-4}{7}\] |
A)
Row A done
clear
B)
Row B done
clear
C)
Row C done
clear
D)
Row D done
clear
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question_answer13)
Which of the following statements is incorrect?
A)
The number\[\frac{5}{2}\]lies between 2 and 3 done
clear
B)
The number\[\frac{11}{12}\] lies between\[\frac{5}{6}\]and\[\frac{23}{24}\] done
clear
C)
The number\[\frac{3}{4}\] lies between \[\frac{2}{3}\] and\[\frac{6}{7}\] done
clear
D)
The number\[\frac{5}{9}\]lies between \[\frac{2}{3}\] and \[\frac{3}{4}\] done
clear
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question_answer14)
What is the value of the expression \[\left[ -\frac{17}{18}\times (-3)\times \frac{108}{30} \right]\]
A)
\[\frac{-108}{10}\] done
clear
B)
\[\frac{62}{5}\] done
clear
C)
\[\frac{51}{5}\] done
clear
D)
\[\frac{17}{33}\] done
clear
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question_answer15)
Meena's height is \[3\frac{5}{6}\] feet. If her sister Gita is \[4\frac{6}{7}\]feet tall, then what is the difference between their heights?
A)
\[\frac{10}{11}\]feet done
clear
B)
\[1\frac{1}{6}\] feet done
clear
C)
\[\frac{2}{7}\]feet done
clear
D)
\[1\frac{1}{42}\]feet done
clear
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question_answer16)
Suprabha purchases \[3\frac{1}{2}\]kg of watermelons, \[\frac{5}{6}\]kg of apples and\[\frac{3}{4}\]kg guavas from a fruit seller. What is the total quantity of fruits purchased by her?
A)
\[4\frac{5}{9}\]kg done
clear
B)
\[3\frac{1}{2}\]kg done
clear
C)
\[6\frac{1}{4}\]kg done
clear
D)
\[5\frac{1}{12}\]kg done
clear
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question_answer17)
For any two rational numbers a and b, which of the following properties may be correct? (i) a < b (ii) a=b (iii) a>b
A)
Only (i) and (ii) are correct done
clear
B)
Only (i) and (iii) are correct done
clear
C)
Only (ii) and (iii) are correct done
clear
D)
All (i), (ii) and (iii) are correct done
clear
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question_answer18)
\[\frac{1}{1+\frac{1}{5+\frac{1}{3}}}=\]
A)
\[\frac{5}{19}\] done
clear
B)
\[\frac{7}{9}\] done
clear
C)
\[\frac{16}{19}\] done
clear
D)
None of these done
clear
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question_answer19)
The value of A such that \[-\frac{5}{8}\] and \[\frac{A}{-32}\] are equivalent rational numbers is
A)
22 done
clear
B)
\[-\,36\] done
clear
C)
16 done
clear
D)
20 done
clear
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question_answer20)
If a, b, c be rational numbers such that a > b and c < b then.............
A)
c > a done
clear
B)
c < a done
clear
C)
b < c done
clear
D)
b > a done
clear
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question_answer21)
Of which property is \[\frac{-5}{7}+\left( \frac{3}{-11}+\frac{-10}{25} \right)=\left( \frac{-5}{7}+\frac{3}{-11} \right)+\frac{-10}{25}\]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_answer22)
Which of the following statements is correct?
A)
0 is called the additive identity for rational number done
clear
B)
1 is called the multiplicative identity done
clear
C)
The additive inverse of 0 is zero itself. done
clear
D)
All the above done
clear
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question_answer23)
Which row is correctly matched?
Row | Rational Number | Standard Form |
A. | \[\frac{-1}{3}\] | \[\frac{1}{-3}\] |
B. | \[\frac{-3}{11}\] | \[\frac{3}{11}\] |
C. | \[\frac{2}{11}\] | \[\frac{-2}{11}\] |
D. | \[\frac{9}{2}\] | \[\frac{-9}{2}\] |
A)
Row A done
clear
B)
Row B done
clear
C)
Row C done
clear
D)
Row D done
clear
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question_answer24)
The value of \[1+\frac{1}{1+\frac{1}{5-\frac{1}{5}}}\]is...............
A)
\[\frac{36}{29}\] done
clear
B)
\[\frac{53}{29}\] done
clear
C)
\[\frac{17}{8}\] done
clear
D)
None of these done
clear
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question_answer25)
Which of the following statements is true?
A)
The reciprocals of numbers 1 and\[-1\] are numbers 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_answer26)
Name the property of multiplication illustrated by \[\frac{-3}{7}\times \left( \frac{-6}{11}+\frac{8}{9} \right)=\left( \frac{-3}{7}\times \frac{-6}{11} \right)+\left( \frac{-3}{7}\times \frac{8}{9} \right)\]
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_answer27)
Reena is travelling from her village to another town. The distance between the village & town is \[45\frac{3}{4}\] km. She stops to rest after covering a distance of \[34\frac{1}{3}\]km. How much distance does she further need to cover to reach the other town?
A)
\[11\frac{3}{4}\]km done
clear
B)
\[20\frac{1}{2}\]km done
clear
C)
\[09\frac{5}{12}\]km done
clear
D)
\[11\frac{5}{12}\]km done
clear
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question_answer28)
Raju, Suraj and Subhash participated in a long jump competition on their school's sports day. Raju jumped \[5\frac{1}{2}\]m. Whiie Suraj jumped \[\frac{1}{4}\]m less than Raju. On the other hand, Subhash jumped \[1\frac{1}{4}\]m more than Suraj. How long did Subhash jump?
A)
\[6\frac{1}{2}\]m done
clear
B)
7 m done
clear
C)
\[4\frac{1}{2}\]-m done
clear
D)
18 m done
clear
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question_answer29)
Evaluate p+q given \[P=\left( -6\frac{1}{6} \right)\]and\[q=\left( -8\frac{1}{8} \right)\].
A)
\[\left( -14\frac{13}{24} \right)\] done
clear
B)
\[\left( -14\frac{7}{24} \right)\] done
clear
C)
\[\left( -3\frac{8}{18} \right)\] done
clear
D)
\[\left( 13\frac{19}{24} \right)\] done
clear
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question_answer30)
For what value of \['x'\] is\[\frac{3}{8}-\left( -\frac{17}{4} \right)+x=-1\frac{9}{24}\]?
A)
\[-\,6\] done
clear
B)
6 done
clear
C)
\[-\frac{1}{6}\] done
clear
D)
\[+\frac{1}{6}\] done
clear
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question_answer31)
Determine 'y' so that \[y-3\frac{1}{3}=\left( -12\frac{7}{12} \right).\]
A)
\[-9\frac{1}{4}\] done
clear
B)
\[3\frac{1}{4}\] done
clear
C)
\[-9\frac{5}{12}\] done
clear
D)
\[9\frac{1}{12}\] done
clear
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question_answer32)
Find the simplest form of \[\left( -\frac{1}{2}+\frac{1}{3}+\frac{1}{6} \right)\left( \frac{-2}{5} \right)\times \left( 36\frac{7}{15}-91\frac{8}{19}+1011\frac{231}{611} \right).\]
A)
0 done
clear
B)
\[-\frac{1}{2}\] done
clear
C)
1 done
clear
D)
\[\frac{2}{5}\] done
clear
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question_answer33)
Rajeev, Simran and Bhuvik walk around a circular park. They take \[\frac{2}{3}h\], \[\frac{3}{5}h\] and \[\frac{7}{12}\] to complete one round. What is the total time taken by them to complete a round in minutes?
A)
119 minutes done
clear
B)
150 minutes done
clear
C)
160 minutes done
clear
D)
111 minutes done
clear
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question_answer34)
The given figure shows a number line such that AB = BC = CD = DE = EF = FG and VW = WX = XY = YZ
What is the sum of the rational numbers denoted by points D and Y?
A)
\[2\frac{1}{5}\] done
clear
B)
\[3\frac{1}{4}\] done
clear
C)
\[8\frac{1}{5}\] done
clear
D)
\[2\frac{1}{4}\] done
clear
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question_answer35)
By what number should \[\frac{-33}{4}\] be divided to get\[\frac{-22}{3}\] ?
A)
\[\frac{-4}{3}\] done
clear
B)
\[\frac{8}{9}\] done
clear
C)
\[\frac{9}{8}\] done
clear
D)
\[\frac{-3}{7}\] done
clear
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question_answer36)
What is the sum of the rational numbers \[\frac{3}{13}\] and\[\frac{-13}{33}\]?
A)
\[\frac{39}{106}\] done
clear
B)
\[\frac{-39}{106}\] done
clear
C)
\[\frac{70}{429}\] done
clear
D)
\[-\frac{70}{429}\] done
clear
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question_answer37)
What should be subtracted from \[\frac{-1}{3}\]to get\[\frac{1}{6}\]?
A)
\[\frac{1}{2}\] done
clear
B)
\[\frac{-1}{2}\] done
clear
C)
\[\frac{3}{4}\] done
clear
D)
\[\frac{-3}{4}\] done
clear
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question_answer38)
What is the reciprocal of the reciprocal of\[-\text{ }8\]?
A)
64 done
clear
B)
\[\frac{1}{8}\] done
clear
C)
\[-\,8\] done
clear
D)
\[\frac{-1}{64}\] done
clear
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question_answer39)
How many pieces of equal size can be cut from a rope of 90 metres long, each measuring \[2\frac{1}{4}\]metres?
A)
40 done
clear
B)
60 done
clear
C)
80 done
clear
D)
120 done
clear
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question_answer40)
Given \[a=2\frac{6}{7},\] \[b=\frac{1}{4},\] \[c=\frac{11}{19}\] and \[d=\left( -2\frac{1}{4} \right)\]Evaluate\[a\left( b-c \right)\div d.\]
A)
\[\frac{500}{1197}\] done
clear
B)
\[\frac{600}{1197}\] done
clear
C)
\[\frac{206}{399}\] done
clear
D)
\[\frac{-38}{57}\] done
clear
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