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question_answer1)
Find the unit digit in the cube of the number 3331.
A)
1 done
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B)
8 done
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C)
4 done
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D)
9 done
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question_answer2)
The smallest number by which 2560 must be multiplied so that the product will be a perfect cube.
A)
35 done
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B)
2.5 done
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C)
8 done
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D)
5 done
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question_answer3)
The smallest number by which we must divide 4624 so that is becomes a perfect cube.
A)
2 done
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B)
169 done
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C)
4 done
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D)
13 done
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question_answer4)
Find the value of \[\left[ \left( {{5}^{\mathbf{2}}}+\mathbf{1}{{\mathbf{2}}^{\mathbf{2}}} \right) \right]\]is given by
A)
2197 done
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B)
169 done
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C)
1693 done
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D)
289 done
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question_answer5)
Find the cube root of 42875.
A)
35 done
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B)
25 done
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C)
15 done
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D)
20 done
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question_answer6)
Find the least number by which 3087 must be multiplied to make it a perfect cube.
A)
3 done
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B)
4 done
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C)
9 done
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D)
7 done
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question_answer7)
Find the cube root of \[\frac{-2197}{1331}\]
A)
\[\frac{-13}{11}\] done
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B)
\[\frac{13}{11}\] done
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C)
\[-\frac{13}{21}\] done
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D)
\[-\frac{17}{21}\] done
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question_answer8)
Find the value of \[\sqrt[3]{\frac{0.027}{0.008}}-\sqrt{\frac{0.09}{0.04}}-1\]
A)
1 done
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B)
\[-1\] done
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C)
0 done
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D)
\[\frac{3}{2}\] done
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question_answer9)
Which one of the following is a perfect cube?
A)
1525 done
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B)
1728 done
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C)
1458 done
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D)
3993 done
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question_answer10)
Which one of the following numbers is not a perfect cube?
A)
2197 done
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B)
512 done
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C)
2916 done
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D)
343 done
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question_answer11)
What is the least number by which 1565109 must be multiplied so that me product becomes a prefect cube?
A)
11 done
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B)
12 done
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C)
13 done
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D)
14 done
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question_answer12)
If \[\mathbf{y}=\sqrt[3]{2\frac{93}{125}}\], then find the value of y.
A)
\[\frac{7}{5}\] done
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B)
\[\frac{5}{7}\] done
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C)
\[\frac{33}{7}\] done
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D)
\[\frac{13}{7}\] done
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question_answer13)
Find the value of \[\sqrt[3]{-\frac{1728}{274}}=\]
A)
\[-\frac{6}{11}\] done
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B)
\[-\frac{6}{7}\] done
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C)
\[-\frac{3}{4}\] done
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D)
\[-\frac{3}{7}\] done
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question_answer14)
Simplify : \[\sqrt[3]{64\times 729}=\]
A)
72 done
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B)
18 done
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C)
36 done
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D)
27 done
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question_answer15)
Find the smallest number by which 128625 must be divided so that the quotient will be a perfect cube.
A)
2 done
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B)
3 done
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C)
5 done
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D)
6 done
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question_answer16)
Evaluate \[\sqrt[3]{27}+\sqrt[3]{0.008}+\sqrt[3]{0.064}\]
A)
6.3 done
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B)
3.64 done
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C)
6.36 done
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D)
3.6 done
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question_answer17)
Three numbers are in the ratio to one another 2:3:4 and the sum of their cubes is 33957. What are the numbers?
A)
21, 14, 28 done
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B)
14, 21, 28 done
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C)
28, 14, 21 done
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D)
27, 15, 14 done
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question_answer18)
Find the volume of cube whose surface area 216 m2.
A)
\[216\,{{m}^{3}}\] done
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B)
\[200\,{{m}^{3}}\] done
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C)
\[210\,{{m}^{3}}\] done
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D)
\[262\,{{m}^{3}}\] done
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question_answer19)
Find the value of \[\sqrt[3]{3.375}\]
A)
1.5 done
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B)
2.5 done
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C)
2 done
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D)
3.5 done
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question_answer20)
Find the value of A if \[\sqrt[3]{500.A}=10\]
A)
1 done
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B)
2 done
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C)
3 done
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D)
4 done
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question_answer21)
There are two numbers such that the sum of the numbers is 28 and their difference is 4. Find the difference of their cubes.
A)
2368 done
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B)
1529 done
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C)
2068 done
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D)
1638 done
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question_answer22)
If you subtract a number, x from 17 times that number, and then take the cube of the difference, what will be the result?
A)
\[1728\,{{x}^{3}}\] done
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B)
\[4913\,{{x}^{3}}\] done
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C)
\[4096\,{{x}^{3}}\] done
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D)
\[5832\,{{x}^{3}}\] done
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question_answer23)
Solve, \[\sqrt[3]{27}+\sqrt[3]{125}\]
A)
8 done
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B)
9 done
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C)
10 done
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D)
12 done
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question_answer24)
A number n is called a perfect cube if there exists.
A)
a natural number m such that n \[=m\times m\] done
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B)
a natural number m such that \[m=n\times m\times n\] done
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C)
a natural number m such that \[n=m\times m\times m\] done
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D)
a natural number m such that \[m=n+m+n\] done
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question_answer25)
What is the value of \[\sqrt[3]{\frac{-56}{875}}\]
A)
\[-\frac{7}{2}\] done
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B)
\[-\frac{7}{5}\] done
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C)
\[-\frac{2}{5}\] done
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D)
\[-\frac{2}{7}\] done
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question_answer26)
A cubical box has all sides of 26 m. Its volume will be
A)
\[14626\,{{m}^{3}}\] done
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B)
\[19726\,{{m}^{3}}\] done
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C)
\[12645\,{{m}^{3}}\] done
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D)
\[17576\,{{m}^{3}}\] done
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question_answer27)
Some Bananas are packed into a box in stacks. Each stack has the same number of bananas in each row as the number of rows. The number of stacks is also the same as the number of rows. If there are 58 stacks of bananas in the box and no of stacks = no of bananas in each row. What is the total number of bananas in the box?
A)
196687 done
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B)
194817 done
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C)
195112 done
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D)
195437 done
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question_answer28)
If you have a container in the shape of a cube that has a volume of 68921m3, then the area of each of the faces of the cube is
A)
1931 done
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B)
1681 done
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C)
1729 done
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D)
1487 done
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question_answer29)
Find the value of \[\sqrt[3]{-9261}\]
A)
-21 done
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B)
-31 done
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C)
-11 done
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D)
-41 done
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question_answer30)
Find the value of \[\sqrt[3]{(-125)\times (-3375)}\]
A)
75 done
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B)
72 done
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C)
77 done
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D)
79 done
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