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question_answer1)
Division by zero is
A)
0 done
clear
B)
1 done
clear
C)
Not Defined done
clear
D)
None of these done
clear
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question_answer2)
Additive identity of \[\frac{2016}{2017}\]is
A)
\[-\frac{2016}{2017}\] done
clear
B)
\[-\frac{2015}{2009}\] done
clear
C)
-3 done
clear
D)
0 done
clear
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question_answer3)
Rational numbers lying between 2 and 3 is/are:
A)
\[\frac{5}{2}\] done
clear
B)
\[\frac{11}{4}\] done
clear
C)
Both A and B done
clear
D)
Neither A nor B done
clear
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question_answer4)
If p and q are any two rational numbers then the rational number between them is
A)
\[\frac{1}{2}\left( p\times q \right)\] done
clear
B)
\[\frac{1}{2}\left( p-q \right)\] done
clear
C)
\[\frac{1}{2}\left( p+q \right)\] done
clear
D)
\[\frac{1}{2}\left( p\div q \right)\] done
clear
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question_answer5)
Name the property of addition used in \[\frac{1}{3}+\frac{1}{2}=\frac{1}{2}+\frac{1}{3}\]
A)
Commutative Property done
clear
B)
Associative Property done
clear
C)
Distributive Property done
clear
D)
Multiplicative Inverse done
clear
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question_answer6)
If p is \[\frac{3}{4}\]of q and \[\mathbf{q}=\frac{2}{5}+\frac{5}{6}\], then p+q is
A)
\[\frac{21}{24}\] done
clear
B)
\[\frac{21}{8}\] done
clear
C)
\[\frac{22}{8}\] done
clear
D)
\[\frac{23}{8}\] done
clear
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question_answer7)
Multiply \[\frac{6}{11}\]by the additive inverse of \[\frac{11}{18}\]. Then, we get.,
A)
\[-\frac{1}{3}\] done
clear
B)
\[\frac{2}{3}\] done
clear
C)
\[\frac{1}{3}\] done
clear
D)
\[\frac{6}{121}\] done
clear
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question_answer8)
Statement-I: The quotient of two integers is always rational number. |
Statement-II:\[\frac{1}{0}\] is not a Rational number. |
A)
Both Statement-1 and Statement-11 are true done
clear
B)
Both Statement-1 and Statement-11 are false done
clear
C)
Statement-1 is true, Statement-11 is false done
clear
D)
Statement-1 is false, Statement-11 is true done
clear
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question_answer9)
The product of two rational numbers is \[\frac{28}{27}\]of which one of the numbers is \[-\frac{4}{9}\]. Find the other number.
A)
\[\frac{7}{3}\] done
clear
B)
\[-\frac{3}{7}\] done
clear
C)
\[\frac{3}{7}\] done
clear
D)
\[-\frac{7}{3}\] done
clear
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question_answer10)
Direction for Question: Look at the number line and answer the following Questions: In the above line representation
A represents _________ Rational number.
A)
\[\frac{1}{3}\] done
clear
B)
\[-\frac{3}{2}\] done
clear
C)
\[\frac{1}{2}\] done
clear
D)
\[-\frac{1}{2}\] done
clear
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question_answer11)
Direction for Question: Look at the number line and answer the following Questions: In the above line representation
B represents ________ Rational number
A)
\[\frac{4}{7}\] done
clear
B)
\[\frac{1}{2}\] done
clear
C)
\[-\frac{1}{2}\] done
clear
D)
\[\frac{0}{2}\] done
clear
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question_answer12)
Direction for Question: Look at the number line and answer the following Questions: In the above line representation
C represents ________ Rational number
A)
\[\frac{7}{4}\] done
clear
B)
\[\frac{11}{4}\] done
clear
C)
\[\frac{13}{4}\] done
clear
D)
\[\frac{15}{4}\] done
clear
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question_answer13)
The sum of any two rational number is always a rational number this statements indicates _______ property.
A)
Closure done
clear
B)
Commutative done
clear
C)
Associative done
clear
D)
Identity done
clear
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question_answer14)
If \[\frac{3}{4}\times \frac{5}{3}\times \frac{9}{5}\times \frac{a}{b}=\frac{9}{4}\], then the additive inverse of \[\frac{a}{b}\]is
A)
\[-\frac{1}{4}\] done
clear
B)
\[-\frac{1}{9}\] done
clear
C)
\[-\,1\] done
clear
D)
\[\frac{-4}{9}\] done
clear
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question_answer15)
By what rational number should we divide \[-\frac{44}{9}\] so as to get \[-\frac{11}{3}\]?
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_answer16)
Decimal representation of \[\frac{2}{3}\]is
A)
\[0.\overline{3}\] done
clear
B)
\[0.\overline{6}\] done
clear
C)
\[0.\overline{2}\] done
clear
D)
\[0.\overline{5}\] done
clear
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question_answer17)
A terminating decimal term in the following is
A)
\[\frac{3}{16}\] done
clear
B)
\[\frac{1}{15}\] done
clear
C)
\[\frac{5}{14}\] done
clear
D)
\[\frac{2}{11}\] done
clear
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question_answer18)
In \[\mathbf{0}.\overline{\mathbf{26}}\] period is
A)
2 done
clear
B)
6 done
clear
C)
26 done
clear
D)
62 done
clear
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question_answer19)
The periodicity of the decimal form of \[\frac{1}{7}\]is:
A)
15 done
clear
B)
6 done
clear
C)
10 done
clear
D)
4 done
clear
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question_answer20)
The next Rational number to 0 is
A)
1.001 done
clear
B)
1.00001 done
clear
C)
1.0000001 done
clear
D)
Can't be determined done
clear
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question_answer21)
Express \[\mathbf{0}.\mathbf{25}\overline{\mathbf{62}}\] in the form of \[\frac{m}{n}\] .
A)
\[\frac{2537}{9999}\] done
clear
B)
\[\frac{2537}{9990}\] done
clear
C)
\[\frac{2573}{9900}\] done
clear
D)
\[\frac{2537}{9900}\] done
clear
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question_answer22)
Which of the following variable value indicates Rational number?
A)
\[{{x}^{2}}=5\] done
clear
B)
\[{{y}^{2}}=16\] done
clear
C)
\[{{z}^{2}}=-5\] done
clear
D)
\[{{a}^{2}}=6\] done
clear
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question_answer23)
Represents \[\frac{11}{27}\] as decimal
A)
0.470470..... done
clear
B)
0.740740....... done
clear
C)
0.740740........ done
clear
D)
0.407407......... done
clear
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question_answer24)
Statement-I: \[\frac{8}{11}\] is a pure recurring decimal. |
Statement-II: A non-terminating recurring decimal, which has no repeating digit after the decimal point immediately is called pure recurring decimal. |
A)
Both Statement-I and Statement-II are true. done
clear
B)
Both Statement-I and Statement-II are false. done
clear
C)
Statement-I is true, Statement-II is false. done
clear
D)
Statement-I is false, Statement-II is true. done
clear
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question_answer25)
Between any two Rational number there exist _____ rational numbers.
A)
0 done
clear
B)
100 done
clear
C)
1 done
clear
D)
Infinite done
clear
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question_answer26)
Which of the following numbers is greatest of all?
A)
0.9 done
clear
B)
\[0.\overline{9}\] done
clear
C)
\[0.0\overline{9}\] done
clear
D)
\[0.\overline{09}\] done
clear
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question_answer27)
The value of \[\left( \mathbf{0}.\mathbf{34}\overline{\mathbf{67}}+\mathbf{0}.\mathbf{1}\overline{\mathbf{333}} \right)\] is:
A)
0.48 done
clear
B)
\[0.48\overline{01}\] done
clear
C)
\[0.\overline{48}\] done
clear
D)
\[0.4\overline{8}\] done
clear
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question_answer28)
If \[\left( \frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90} \right)\]= \[\frac{p}{q}\] and HCF of (p, q) = 1 then find \[\mathbf{p}\times \mathbf{q}\] =?
A)
90 done
clear
B)
80 done
clear
C)
100 done
clear
D)
None of these done
clear
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question_answer29)
In Class VIII, \[\frac{3}{5}\] of the students are girls and rest are boys. If \[\frac{2}{9}\] of the girls and \[\frac{1}{4}\] of the boys are absent. What part of the total number of student are present?
A)
\[\frac{23}{30}\] done
clear
B)
\[\frac{23}{36}\] done
clear
C)
\[\frac{18}{49}\] done
clear
D)
\[\frac{17}{25}\] done
clear
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question_answer30)
Rohit was asked to find the value of \[\frac{3}{8}\] of a sum of money. Instead of multiplying the sum by \[\frac{3}{8}\]he divided it by \[\frac{3}{8}\] and then his answer exceeded by Rs.55. Find the correct value of \[\frac{3}{8}\]sum of money?
A)
Rs. 9 done
clear
B)
Rs. 24 done
clear
C)
Rs. 84 done
clear
D)
Rs. 1,320 done
clear
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question_answer31)
Rahul read \[\frac{2}{5}\]th of a book on the first day. He read \[\frac{1}{3}\]rd more on second day than he read on the first day. 15 pages were left for the third day. The number of pages in the book is
A)
100 done
clear
B)
105 done
clear
C)
225 done
clear
D)
250 done
clear
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question_answer32)
The value of \[\left( \frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}+\frac{1}{195}+\frac{1}{255}+\frac{2}{323}+\frac{1}{399} \right)\]= ?
A)
\[\frac{2}{7}\] done
clear
B)
\[\frac{6}{7}\] done
clear
C)
\[\frac{8}{7}\] done
clear
D)
\[\frac{1}{7}\] done
clear
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question_answer33)
The simplified value of \[\left( 1-\frac{1}{3} \right)\left( 1-\frac{1}{4} \right)\left( 1-\frac{1}{5} \right)......\left( 1-\frac{1}{200} \right)\]is
A)
\[\frac{2}{99}\] done
clear
B)
\[\frac{1}{50}\] done
clear
C)
\[\frac{1}{100}\] done
clear
D)
\[\frac{3}{200}\] done
clear
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question_answer34)
The value of \[\left( 1+\frac{1}{2} \right)\left( 1+\frac{1}{3} \right)\left( 1+\frac{1}{4} \right).....\left( 1+\frac{1}{200} \right)\]is
A)
100.5 done
clear
B)
40.5 done
clear
C)
60.5 done
clear
D)
121 done
clear
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question_answer35)
When simplified the product \[\left( 1-\frac{1}{2} \right)\left( 1-\frac{1}{3} \right)\left( 1-\frac{1}{4} \right)\left( 1-\frac{1}{5} \right)\left( 1-\frac{1}{6} \right).....\left( 1-\frac{1}{n} \right)\]
A)
\[\frac{1}{n}\] done
clear
B)
\[\frac{2}{n}\] done
clear
C)
\[\frac{2(n-1)}{n}\] done
clear
D)
\[\frac{2}{n(n+1)}\] done
clear
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question_answer36)
\[\mathbf{8}.\mathbf{3}\overline{\mathbf{1}}+\mathbf{0}.\overline{\mathbf{6}}+\mathbf{0}.\mathbf{00}\overline{\mathbf{2}}\]is equal to
A)
\[8.\overline{912}\] done
clear
B)
\[8.9\overline{12}\] done
clear
C)
\[8.97\overline{9}\] done
clear
D)
\[8.9\overline{79}\] done
clear
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question_answer37)
If \[\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\]\[\frac{1}{90}+\frac{1}{110}+\frac{1}{132}+\frac{1}{156}+=\frac{a}{b}\] and HCF \[\mathbf{(a,}\,\,\mathbf{b)=1}\] then (a + b) = ?
A)
156 done
clear
B)
162 done
clear
C)
165 done
clear
D)
126 done
clear
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question_answer38)
\[\left( \mathbf{0}\mathbf{.}\overline{\mathbf{11}}\mathbf{+0}\mathbf{.}\overline{\mathbf{22}} \right)\times \mathbf{30}=?\]
A)
20 done
clear
B)
10 done
clear
C)
100 done
clear
D)
\[\frac{1}{10}\] done
clear
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question_answer39)
The difference of \[5.\overline{76}\] and \[2.\overline{3}\] is
A)
\[2.\overline{54}\] done
clear
B)
\[3.\overline{73}\] done
clear
C)
\[3.\overline{46}\] done
clear
D)
\[3.\overline{43}\] done
clear
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question_answer40)
Santosh divides his herd of n cows among his four sons so that the first son gets one- half the herd, the second son gets one-fourth, the third son gets one-fifth and the fourth son gets 7 cows. The value of n is.
A)
80 done
clear
B)
100 done
clear
C)
140 done
clear
D)
180 done
clear
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