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question_answer1)
dWhich among the following is a perfect square? |
455562, 323761, 675487, 897568, 347860 |
A)
455562 done
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B)
323761 done
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C)
675487 done
clear
D)
897568 done
clear
E)
None of these done
clear
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question_answer2)
Find the unit's digit in the product of \[\frac{{{2}^{32}}\times {{3}^{42}}\times {{847}^{42}}}{{{9}^{14}}}\].
A)
9 done
clear
B)
6 done
clear
C)
3 done
clear
D)
1 done
clear
E)
None of these done
clear
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question_answer3)
simplify \[\frac{{{\left( -2 \right)}^{24}}\times {{(-3)}^{17}}\times {{847}^{42}}}{{{\left( 12 \right)}^{16}}\times {{(27)}^{6}}}\]
A)
\[\frac{-1}{{{2}^{35}}\times {{3}^{17}}}\] done
clear
B)
\[\frac{1}{{{2}^{35}}\times {{3}^{17}}}\] done
clear
C)
\[\frac{1}{{{3}^{16}}\times {{2}^{34}}}\] done
clear
D)
\[\frac{-1}{{{3}^{16}}\times {{2}^{34}}}\] done
clear
E)
None of these done
clear
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question_answer4)
Which one among the following statements is incorrect?
A)
The multiplicative inverse of \[{{10}^{-1000}}\]is \[\frac{1}{{{10}^{1000}}}.\] done
clear
B)
The reciprocal of \[{{\left( \frac{1}{5} \right)}^{\frac{-1}{2}}}\] is \[\frac{1}{\sqrt{5}}\] done
clear
C)
\[\frac{1}{{{\left( {{x}^{m}} \right)}^{-n}}}\]is equal to\[{{({{x}^{-n}})}^{-m}}\] done
clear
D)
\[{{\left( \frac{1}{2} \right)}^{-1/2}}\]is equal to\[\sqrt{2}\]. done
clear
E)
None of these done
clear
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question_answer5)
Which one among the following is the reciprocal of\[\frac{{{2}^{5}}\times {{3}^{7}}\times {{\left( \sqrt{7} \right)}^{3/4}}}{{{\left( \sqrt{8} \right)}^{2}}\times \left( \sqrt{7} \right)}\]?
A)
\[{{2}^{-2}}\times {{3}^{-7}}\times {{7}^{5/8}}\] done
clear
B)
\[{{2}^{3}}\times {{3}^{7}}\times {{7}^{-5/8}}\] done
clear
C)
\[{{2}^{5}}\times 3-7\text{ }\times \text{ }{{7}^{-1/8}}\] done
clear
D)
\[{{2}^{-4}}\times {{3}^{7}}\times {{7}^{5/8}}\] done
clear
E)
None of these done
clear
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question_answer6)
Simplify \[{{\left[ {{\left( \frac{2}{17} \right)}^{-6}}\div {{\left( \frac{2}{17} \right)}^{4}} \right]}^{4}}\times {{\left( \frac{2}{17} \right)}^{-18}}\]
A)
\[{{\left( \frac{2}{17} \right)}^{-20}}\] done
clear
B)
\[{{\left( \frac{17}{2} \right)}^{-20}}\] done
clear
C)
\[{{\left( \frac{2}{17} \right)}^{-28}}\] done
clear
D)
\[{{\left( \frac{17}{2} \right)}^{-28}}\] done
clear
E)
None of these done
clear
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question_answer7)
Find the value of \[{{\left[ {{3}^{-1}}+\text{ }{{4}^{-2}}+\text{ }{{6}^{-4}} \right]}^{-1}}\]
A)
257 done
clear
B)
257 done
clear
C)
648 done
clear
D)
348 done
clear
E)
None of these done
clear
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question_answer8)
If p and q are whole numbers such that \[{{p}^{q}}\]= 529 then find the value of \[{{\left[ {{(6-q)}^{p-17}} \right]}^{-1}}\]
A)
1024 done
clear
B)
2048 done
clear
C)
\[\frac{1}{2048}\] done
clear
D)
\[\frac{1}{4096}\] done
clear
E)
None of these done
clear
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question_answer9)
If\[{{\left( \frac{m}{n} \right)}^{r-7}}={{\left( \frac{n}{m} \right)}^{r-3}}\], then find the value of r.
A)
12 done
clear
B)
10 done
clear
C)
5 done
clear
D)
9 done
clear
E)
None of these done
clear
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question_answer10)
By what number should\[{{\left( \frac{1}{8} \right)}^{-1/2\ }}\] be multiplied so that its product becomes \[{{\left( \frac{5}{7} \right)}^{-1/2\ }}\] ?
A)
\[{{\left( \frac{7}{40} \right)}^{-1/2\ }}\] done
clear
B)
\[\frac{\sqrt{7}}{2\sqrt{2}}\] done
clear
C)
\[\frac{\sqrt{70}}{20}\] done
clear
D)
\[\frac{\sqrt{70}}{40}\] done
clear
E)
None of these done
clear
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question_answer11)
If m = 11 + 6\[\sqrt{2}\] , then find the value of \[{{\left( \sqrt{m}+\sqrt{2} \right)}^{{1}/{2}\;}}\]
A)
\[\sqrt{2}\] done
clear
B)
\[1+\sqrt{2}\] done
clear
C)
\[1-\sqrt{2}\] done
clear
D)
\[-\sqrt{2}\] done
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E)
None of these done
clear
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question_answer12)
If \[{{7}^{2a-b}}=\text{ }70\times 30+15\times 20+1\]then find the value of \[{{\left( \frac{2a}{4+b} \right)}^{-212}}\].
A)
-212 done
clear
B)
-1 done
clear
C)
1 done
clear
D)
0 done
clear
E)
None of these done
clear
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question_answer13)
Find the value of \[\sqrt{\frac{4}{1+{{x}^{p-q}}}+\frac{4}{1+{{x}^{q-p}}}}\]
A)
-2 done
clear
B)
4 done
clear
C)
1 done
clear
D)
-4 done
clear
E)
None of these done
clear
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question_answer14)
If \[{{8}^{m}}\] = 262144, then find the value of\[{{8}^{m-4}}\].
A)
32 done
clear
B)
96 done
clear
C)
512 done
clear
D)
64 done
clear
E)
None of these done
clear
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question_answer15)
Solve :\[\sqrt{8+\sqrt{773+\sqrt{116+\sqrt{2+\sqrt{520+\sqrt{81}}}}}}\]
A)
2 done
clear
B)
3 done
clear
C)
7 done
clear
D)
6 done
clear
E)
None of these done
clear
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question_answer16)
The smallest number, which when multiplied with 123768 will make the product a perfect cube, is ________
A)
12321 done
clear
B)
36481 done
clear
C)
328329 done
clear
D)
111475 done
clear
E)
None of these done
clear
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question_answer17)
Three numbers are in the ratio \[1:3:2\]and sum of their cubes is equal to\[2.304\]. Find the sum of the numbers.
A)
\[~2.4\] done
clear
B)
\[3.6\] done
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C)
\[2.8\] done
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D)
\[4.2\] done
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E)
None of these done
clear
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question_answer18)
The volume of a cubical box is\[456.533c{{m}^{3}}\]. Find the side of the cubical box in cm.
A)
\[7.7\text{ }cm\] done
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B)
\[8.3\text{ }cm\] done
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C)
\[7.27\text{ }cm\] done
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D)
\[6.7\text{ }cm\] done
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E)
None of these done
clear
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question_answer19)
Solve: \[{{\left[ {{\left[ {{17}^{2}}+{{(\sqrt{3})}^{8}}-\sqrt{{{5}^{2}}+{{4}^{3}}-{{2}^{3}}} \right]}^{{1}/{2}\;}} \right]}^{3}}\]
A)
5859 done
clear
B)
7869 done
clear
C)
6859 done
clear
D)
5682 done
clear
E)
None of these done
clear
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question_answer20)
Find the sum of\[{{1}^{3}}\text{ }+\text{ }{{2}^{3}}\text{ }+\text{ }{{3}^{3}}\text{ }+----------+\text{ }{{12}^{3}}\]
A)
6084 done
clear
B)
4048 done
clear
C)
5082 done
clear
D)
5048 done
clear
E)
None of these done
clear
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question_answer21)
The product of two numbers is 4332 and their quotient is\[\frac{3}{4}\]. Find the sum of the numbers.
A)
136 done
clear
B)
133 done
clear
C)
143 done
clear
D)
149 done
clear
E)
None of these done
clear
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question_answer22)
Find the sum of \[1+3+5+7+9+---------+101\]
A)
2601 done
clear
B)
2401 done
clear
C)
2501 done
clear
D)
2701 done
clear
E)
None of these done
clear
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question_answer23)
The cube of a number is 324 times the number. Find the cube of \[\frac{4}{9}\] of the number
A)
216 done
clear
B)
512 done
clear
C)
343 done
clear
D)
729 done
clear
E)
None of these done
clear
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question_answer24)
If\[{{p}^{{{q}^{r}}}}^{=}{{2}^{64}}\], then find the maximum possible value of p + q + r where p, q and r are natural numbers.
A)
9 done
clear
B)
10 done
clear
C)
12 done
clear
D)
67 done
clear
E)
None of these done
clear
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question_answer25)
Find the possible values of x, when \[\sqrt{x}+\frac{87}{\sqrt{x}}=32\]
A)
3 and 29 done
clear
B)
841 and 9 done
clear
C)
6 and 58 done
clear
D)
18 and 1682 done
clear
E)
None of these done
clear
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question_answer26)
By what number should \[{{\left( -15 \right)}^{-1}}\]1 be divided so that the quotient may be \[{{\left( \frac{5}{9} \right)}^{-1}}\],
A)
\[\frac{1}{9}\] done
clear
B)
\[\frac{-1}{27}\] done
clear
C)
\[\frac{1}{27}\] done
clear
D)
\[\frac{-1}{9}\] done
clear
E)
None of these done
clear
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question_answer27)
Which among the following is not a perfect square?
A)
104329 done
clear
B)
7921 done
clear
C)
10201 done
clear
D)
7579 done
clear
E)
None of these done
clear
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question_answer28)
Which among the following is not a perfect cube?
A)
21952 done
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B)
3365 done
clear
C)
4096 done
clear
D)
1331 done
clear
E)
None of these done
clear
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question_answer29)
By observing the given pattern, find the value of missing number. |
\[{{\left( 11 \right)}^{2}}\]=121 |
\[{{\left( 101 \right)}^{2}}\]= 10201 |
\[{{\left( 1001 \right)}^{2}}\]= 1002001 |
\[{{\left( 100001 \right)}^{2}}\]= _______ |
A)
100002000001 done
clear
B)
100020001 done
clear
C)
1000200001 done
clear
D)
10000020001 done
clear
E)
None of these done
clear
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question_answer30)
solve: \[\frac{{{(279)}^{2}}-{{(278)}^{2}}}{557}\]
A)
758 done
clear
B)
279 done
clear
C)
278 done
clear
D)
1 done
clear
E)
None of these done
clear
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question_answer31)
Which of the following is not a Pythagorean triplets?
A)
(8, 15, 17) done
clear
B)
(20, 99, 101) done
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C)
(5, 36, 41) done
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D)
(12, 35, 37) done
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E)
None of these done
clear
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question_answer32)
Simplify: \[\frac{274\times 274+2\times 274\times 126+126\times 126}{1600}\]
A)
400 done
clear
B)
200 done
clear
C)
100 done
clear
D)
300 done
clear
E)
None of these done
clear
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question_answer33)
If p + q + r = 0 then find the value of\[\frac{{{({{m}^{p}})}^{4}}}{{{n}^{-4q}}.{{t}^{-4r}}}\] where m = 2n = 8t.
A)
\[{{16}^{p-2r}}\] done
clear
B)
\[\frac{1}{{{16}^{(q+3r)}}}\] done
clear
C)
\[\frac{1}{{{16}^{2q+3p}}}\] done
clear
D)
Both A and B done
clear
E)
None of these done
clear
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question_answer34)
If \[{{3}^{m}}=\text{ }{{\left( 81 \right)}^{n}}=\text{ }{{\left( 729 \right)}^{r}}=\text{ }243\] then find the value of \[{{\left( \frac{3m}{4}+n \right)}^{3}}-{{(4n+6r)}^{3}}\]
A)
1125 done
clear
B)
875 done
clear
C)
-875 done
clear
D)
-1125 done
clear
E)
None of these done
clear
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question_answer35)
\[\sqrt[3]{1+3+5+7+.......+685}\]= ________
A)
9 done
clear
B)
27 done
clear
C)
49 done
clear
D)
7 done
clear
E)
None of these done
clear
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question_answer36)
If\[\sqrt[3]{a}+\frac{64}{\sqrt[3]{a}}=20\], then the value of a can be
A)
4 and 32 done
clear
B)
8 and 4 done
clear
C)
16 and 8 done
clear
D)
4 and 16 done
clear
E)
None of these done
clear
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question_answer37)
In a five digit number 1p68q, \[p={{q}^{2}}\,and\,p\ne q\]. If the given number is a perfect cube, then find the difference between the sum of its digits and the cube root of the number.
A)
0 done
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B)
1 done
clear
C)
2 done
clear
D)
9 done
clear
E)
None of these done
clear
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question_answer38)
Find the number of four digit cubes which end with a non-zero perfect square digit.
A)
2 done
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B)
4 done
clear
C)
6 done
clear
D)
7 done
clear
E)
None of these done
clear
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question_answer39)
Simplify: \[\frac{\sqrt[3]{{{(0.008)}^{2}}}+{{\left( \sqrt[3]{0.000216} \right)}^{2}}-\sqrt[3]{0.001728}}{{{(0.02)}^{3}}+\sqrt{0.0081}}\]
A)
0.0009 done
clear
B)
\[\frac{2500}{11251}\] done
clear
C)
\[\frac{2700}{11251}\] done
clear
D)
0.0008 done
clear
E)
None of these done
clear
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question_answer40)
If m and n are whole numbers such that \[{{m}^{n}}\]= 262144 (where m > n) and n is a natural number less than 4, then the value of \[\sqrt[n]{m}\] can be____
A)
4 done
clear
B)
8 done
clear
C)
4 and 16\[\sqrt{2}\] done
clear
D)
16 and 8\[\sqrt{2}\] done
clear
E)
None of these done
clear
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