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question_answer1)
Which of the following is the decimal representation of 1/7
A)
\[0.\overline{241857}\] done
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B)
\[~0.14\overline{2857}\] done
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C)
\[0.\overline{142857}\] done
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D)
\[0.\overline{148257}\] done
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question_answer2)
Which of the following equal to \[\mathbf{1}.\overline{\mathbf{27}}\]
A)
\[\frac{19}{11}\] done
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B)
\[\frac{12}{11}\] done
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C)
\[\frac{15}{11}\] done
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D)
\[\frac{14}{11}\] done
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question_answer3)
Which of the following statement is not true?
A)
Every integer is a rational number done
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B)
Every integer is a real number done
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C)
There can be infinite rational numbers between two rational numbers done
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D)
Every rational number is a whole number done
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question_answer4)
Which of the following is not a rational number
A)
0 done
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B)
\[-\frac{1}{4}\] done
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C)
23 done
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D)
\[\pi \] done
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question_answer5)
Every integer is a ____ number
A)
whole done
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B)
natural done
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C)
rational done
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D)
positive done
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question_answer6)
Every ____ number is smaller than 0.
A)
positive done
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B)
rational done
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C)
natural done
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D)
negative done
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question_answer7)
If a, a + 2 and a + 4 are prime numbers, then the number of possible solutions for a is
A)
one done
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B)
two done
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C)
three done
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D)
none of these done
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question_answer8)
Find the multiplicative inverse of \[{{\left( \frac{3}{8} \right)}^{-1}}\]
A)
\[\frac{3}{8}\] done
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B)
\[\frac{5}{8}\] done
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C)
1 done
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D)
0 done
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question_answer9)
\[\mathbf{0}.\overline{\mathbf{8}}+\mathbf{0}.\overline{\mathbf{4}}+\mathbf{0}.\overline{\mathbf{5}}+\mathbf{0}.\overline{\mathbf{7}}\]is equal to
A)
\[2.\overline{4}\] done
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B)
\[2\frac{5}{9}\] done
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C)
\[2\frac{2}{3}\] done
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D)
\[2\frac{3}{9}\] done
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question_answer10)
The multiplication \[(3+\sqrt{2})(3-\sqrt{2})\] results in a
A)
rational number done
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B)
irrational number done
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C)
neither rational nor irrational done
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D)
imaginary number done
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question_answer11)
The rational number for \[\mathbf{0}.\mathbf{3}\overline{\mathbf{51}}\] is
A)
\[\frac{351}{990}\] done
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B)
\[\frac{58}{165}\] done
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C)
\[\frac{352}{990}\] done
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D)
\[\frac{349}{3990}\] done
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question_answer12)
The value of \[\mathbf{0}.\overline{\mathbf{3}}+\mathbf{0}.\overline{\mathbf{4}}+\mathbf{0}.\overline{\mathbf{5}}+\mathbf{0}.\overline{\mathbf{9}}\]
A)
1.8 done
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B)
\[\frac{15}{9}\] done
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C)
\[\frac{7}{3}\] done
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D)
2 done
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question_answer13)
What should be subtracted from \[\left( \frac{3}{4}-\frac{6}{16}+\frac{5}{24} \right)\,\]to get \[\frac{7}{32}\]?
A)
\[\frac{7}{12}\] done
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B)
\[\frac{35}{96}\] done
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C)
\[\frac{-5}{96}\] done
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D)
\[\frac{77}{96}\] done
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question_answer14)
Find the sum \[\left( \frac{4}{5}+\frac{25}{15}-10 \right)+\frac{21}{45}\]
A)
\[-\frac{1}{9}\] done
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B)
\[1\frac{1}{9}\] done
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C)
\[-7\frac{1}{15}\] done
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D)
\[4\frac{22}{27}\] done
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question_answer15)
The rational number lying between 85 and 90 is
A)
\[\frac{355}{4}\] done
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B)
\[\frac{355}{2}\] done
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C)
\[\frac{355}{3}\] done
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D)
\[\frac{355}{5}\] done
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question_answer16)
Which one of the following rational number lies between\[\frac{20}{30}\]and\[\frac{40}{50}\]?
A)
\[\frac{11}{15}\] done
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B)
\[\frac{3}{5}\] done
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C)
\[\frac{41}{30}\] done
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D)
\[\frac{14}{15}\] done
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question_answer17)
The real numbers are either rational or irrational. The irrational numbers are the numbers which are non-terminating and non-repeating. Identify the numbers given below as non-terminating and non-repeating.
A)
\[\frac{1}{\sqrt{3}}\] done
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B)
\[\frac{4}{5}\] done
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C)
\[\frac{5}{2}\] done
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D)
\[\frac{\sqrt{36}}{3}\] done
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question_answer18)
The value of the given expression \[\left( \frac{156}{24}+\left\{ \frac{-24}{56}+\frac{26}{112} \right\}\times \frac{112}{44} \right)\] is given by
A)
\[\frac{1}{6}\] done
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B)
\[\frac{2}{5}\] done
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C)
\[\frac{36}{6}\] done
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D)
216 done
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question_answer19)
What will be the additive inverse of A if A=\[\frac{3}{5}-\frac{4}{27}+\frac{5}{18}\]
A)
\[\frac{127}{270}\] done
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B)
\[\frac{270}{127}\] done
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C)
\[\frac{-197}{270}\] done
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D)
\[\frac{270}{197}\] done
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question_answer20)
The multiplicative identity of the rational number \[\frac{455}{1024}\], is
A)
\[\frac{1024}{455}\] done
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B)
\[\frac{1}{455}\] done
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C)
\[\frac{1}{1024}\] done
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D)
1 done
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question_answer21)
The largest rational number among the following rational numbers is:
A)
\[\frac{44}{34}\] done
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B)
\[\frac{55}{85}\] done
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C)
\[\frac{76}{68}\] done
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D)
\[\frac{98}{102}\] done
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question_answer22)
Which one of the following is a natural number?
A)
\[\frac{14}{56}\] done
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B)
\[\frac{19}{57}\] done
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C)
\[\frac{91}{13}\] done
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D)
\[\frac{45}{135}\] done
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question_answer23)
The multiplicative inverse of \[\frac{97}{89}\] is
A)
\[\frac{97}{89}\] done
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B)
\[\frac{89}{97}\] done
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C)
\[\frac{1}{97}\] done
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D)
\[\frac{1}{89}\] done
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question_answer24)
The additive identity of the given number \[\frac{576}{890}\]is
A)
1 done
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B)
\[\frac{576}{890}\] done
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C)
\[\frac{890}{576}\] done
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D)
0 done
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question_answer25)
The area of a rectangular room is \[45\frac{1}{4}\]m2. If breadth is \[9\frac{3}{7}\]m, then its length is
A)
\[\frac{255}{264}m\] done
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B)
\[\frac{1215}{28}m\] done
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C)
\[\frac{255}{28}m\] done
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D)
\[\frac{1267}{264}m\] done
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question_answer26)
In a school,\[\frac{5}{8}\]of the total students are boys. If there are 360 girls, then the number of students in the school is
A)
960 done
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B)
500 done
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C)
360 done
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D)
920 done
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question_answer27)
Arwin earns Rs. 1200 per month, he spends \[\frac{1}{4}\] of his income on food, \[\frac{3}{10}\] of the remaining money on house rent and \[\frac{5}{21}\] of the remaining money on the education of his children. How much money does he save in a month?
A)
Rs. 450 done
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B)
Rs. 420 done
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C)
Rs. 400 done
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D)
Rs. 480 done
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question_answer28)
Write four rational numbers between \[\frac{1}{3}\]and \[\frac{1}{2}\]
A)
\[\frac{5}{2},\frac{29}{24},\frac{11}{24},\frac{21}{28}\] done
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B)
\[\frac{7}{12},\frac{13}{12},\frac{21}{24},\frac{9}{24}\] done
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C)
\[\frac{5}{12},\frac{9}{24},\frac{11}{24},\frac{21}{48}\] done
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D)
\[\frac{7}{24},\frac{11}{24},\frac{21}{48},\frac{13}{24}\] done
clear
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question_answer29)
Compare \[\frac{2}{5}\] and \[\frac{1}{2}\]
A)
\[\frac{2}{5}<\frac{3}{4}\] done
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B)
\[\frac{2}{5}>\frac{3}{4}\] done
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C)
\[\frac{2}{5}=\frac{3}{4}\] done
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D)
\[\frac{2}{5}\le \frac{3}{4}\] done
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question_answer30)
A number of the form p/q is said to be a rational number if
A)
p and q are integers done
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B)
p and q are integers and \[q\ne 0\] done
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C)
p and q are integers and \[p\ne 0\] done
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D)
p and q are integers and \[p\ne 0\] also \[p\ne 0\] done
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question_answer31)
The value of\[\frac{1}{\sqrt{6.25}+\sqrt{5.25}}+\frac{1}{\sqrt{4.25}+\sqrt{3.25}}\]\[+\frac{1}{\sqrt{5.25}+\sqrt{4.25}}+\frac{1}{\sqrt{3.25}+\sqrt{2.25}}\]is
A)
1.00 done
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B)
1.25 done
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C)
1.50 done
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D)
2.25 done
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question_answer32)
The value of \[\sqrt{4\sqrt[3]{16\sqrt{4\sqrt[3]{16\sqrt{4\sqrt[3]{16}}}}}}\] up to \[\infty \] is
A)
2 done
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B)
22 done
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C)
23 done
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D)
25 done
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question_answer33)
If m = \[\sqrt{3+\sqrt{3+\sqrt{3+......}}}\] up to \[\infty \] n=\[\sqrt{3-\sqrt{3-\sqrt{3-......}}}\] up to \[\infty \] Then among the following the relation between m and n holds is
A)
\[m-n+1=0\] done
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B)
\[m+n-1=0\] done
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C)
\[m+n+1=0\] done
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D)
\[m-n-1=0\] done
clear
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question_answer34)
If x=\[\frac{\sqrt{3}}{2}\], then the value of \[\sqrt{1+x}+\sqrt{1-x}\] is
A)
\[\sqrt{3}\] done
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B)
\[\frac{\sqrt{3}}{2}\] done
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C)
\[2+\sqrt{3}\] done
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D)
\[2-\sqrt{3}\] done
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question_answer35)
If A=\[{{\mathbf{2}}^{x}}\], B= \[{{\mathbf{4}}^{y}}\]c=\[{{\mathbf{8}}^{z}}\] where x=\[\mathbf{0}.\overline{\mathbf{1}}\], \[\mathbf{y}=\mathbf{0}.\overline{\mathbf{4}},\mathbf{z}=\mathbf{0}.\overline{\mathbf{6}},\]then \[\mathbf{A}\times \mathbf{B}\times \mathbf{C}\] is
A)
8 done
clear
B)
2 done
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C)
16 done
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D)
4 done
clear
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question_answer36)
If \[\mathbf{x}=\mathbf{2}.\overline{\mathbf{3}}-\mathbf{0}.\overline{\mathbf{9}},\] \[\mathbf{y}=\mathbf{2}\mathbf{.}\overline{\mathbf{5}}-\mathbf{0}.\overline{\mathbf{5}},\] then \[{{x}^{2}}+{{y}^{2}}-2xy\] is
A)
\[\frac{1}{4}\] done
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B)
\[\frac{1}{3}\] done
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C)
\[\frac{1}{2}\] done
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D)
\[\frac{1}{5}\] done
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question_answer37)
\[\frac{{{4}^{-3}}\times {{a}^{-5}}\times {{b}^{-4}}}{{{4}^{-5}}\times {{a}^{-8}}\times {{b}^{3}}}\]=
A)
\[16\frac{{{a}^{3}}}{{{b}^{7}}}\] done
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B)
\[8\frac{{{a}^{2}}}{{{b}^{-7}}}\] done
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C)
\[2\frac{{{a}^{-13}}}{{{b}^{-7}}}\] done
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D)
\[\frac{{{a}^{8}}}{{{b}^{-1}}}\] done
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question_answer38)
If \[7\sqrt[4]{162}-5\sqrt[4]{32}+\sqrt[4]{1250}\] is simplified, then the resultant value is
A)
\[6\sqrt[3]{2}\] done
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B)
\[6\sqrt[4]{2}\] done
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C)
\[6\sqrt[5]{2}\] done
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D)
\[16\sqrt[4]{2}\] done
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question_answer39)
If \[{{2}^{x-1}}+{{2}^{x+1}}=\mathbf{640,}\] the value of x is
A)
7 done
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B)
8 done
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C)
9 done
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D)
6 done
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question_answer40)
The largest among the numbers\[{{2}^{250}},{{3}^{150}},{{5}^{100}}\] and 4200 is
A)
4200 done
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B)
5100 done
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C)
2250 done
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D)
2150 done
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