question_answer1) The value of \[{{45}^{3}}-{{65}^{3}}-{{20}^{3}}\]is __.
A) 175500 done clear
B) -191500 done clear
C) 170000 done clear
D) -170000 done clear
View Solution play_arrowquestion_answer2) If \[\sqrt[3]{-2744}\div \sqrt[3]{0.008}=x\],then the value of x is __.
A) 70 done clear
B) -70 done clear
C) 14 done clear
D) -14 done clear
View Solution play_arrowA) \[\frac{10}{3}\] done clear
B) \[-\frac{10}{3}\] done clear
C) \[\frac{3}{15}\] done clear
D) Both [a] and [b] done clear
View Solution play_arrowA) 6 done clear
B) 4 done clear
C) 8 done clear
D) 2 done clear
View Solution play_arrowA) 4 done clear
B) 2 done clear
C) 6 done clear
D) 8 done clear
View Solution play_arrowA) 18700 done clear
B) 11862 done clear
C) 19710 done clear
D) 25320 done clear
View Solution play_arrowA) \[\frac{-b{{c}^{3}}}{{{a}^{2}}}\] done clear
B) \[\frac{b{{c}^{4}}}{{{a}^{2}}}\] done clear
C) \[\frac{-a{{b}^{4}}}{{{c}^{2}}}\] done clear
D) \[\frac{-b{{c}^{4}}}{{{a}^{2}}}\] done clear
View Solution play_arrowA) 14, 21, 35 done clear
B) 12, 15, 17 done clear
C) 14, 18, 21 done clear
D) 21, 28, 32 done clear
View Solution play_arrowquestion_answer9) The cube of a 2-digit number will contain
A) 4 digits done clear
B) 5 digits done clear
C) 6 digits done clear
D) 4, 5 or 6 digits done clear
View Solution play_arrowquestion_answer10) The cube of an odd natural number is always ___.
A) Even done clear
B) Odd done clear
C) Even or odd done clear
D) Can't say done clear
View Solution play_arrowquestion_answer11) The length of each side of a cubical box is 2.4 m. Its volume is ___.
A) \[1.3824\times {{10}^{7}}cu.cm\] done clear
B) \[13.824cu.cm\] done clear
C) \[1.3824\times {{10}^{8}}cu.cm\] done clear
D) \[1.3824\times {{10}^{4}}cu.cm\] done clear
View Solution play_arrowA) 9 done clear
B) 7 done clear
C) 3 done clear
D) 1 done clear
View Solution play_arrowA) 8 done clear
B) 2 done clear
C) 4 done clear
D) 3 done clear
View Solution play_arrowA) 1 : 3 done clear
B) 1 : 6 done clear
C) 1 : 9 done clear
D) 1 : 18 done clear
View Solution play_arrowA) 3 done clear
B) 5 done clear
C) 7 done clear
D) 9 done clear
View Solution play_arrowquestion_answer16) Mohit gave a problem to Samrath.
Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number. |
A) 4 done clear
B) 6 done clear
C) 8 done clear
D) 10 done clear
View Solution play_arrowA) 230 m done clear
B) 250 m done clear
C) 210 m done clear
D) 180 m done clear
View Solution play_arrowA) 4 done clear
B) 20 done clear
C) 12 done clear
D) 25 done clear
View Solution play_arrowA) \[10\text{ }c{{m}^{3}},\text{ }4\text{ }cm\] done clear
B) \[3\text{ }c{{m}^{3}},\text{ }3\text{ }cm\] done clear
C) \[11\text{ }c{{m}^{3}},\text{ }3\text{ }cm\] done clear
D) \[4\text{ }c{{m}^{3}},\text{ }3\text{ }cm\] done clear
View Solution play_arrowA) 50 m done clear
B) 25 m done clear
C) 45 m done clear
D) 40 m done clear
View Solution play_arrowquestion_answer21) Which of the following options is INCORRECT?
A) Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. The numbers will be 5, 10, 15. done clear
B) The digit in the units place for the cube of a four digit number of the form \[xyz8\] is 2. done clear
C) The smallest number by which 3600 be divided to make it a perfect cube is 450. done clear
D) None of these done clear
View Solution play_arrowquestion_answer22) Find the cube root of:
(i) \[\text{0}\text{.003375 =}\underline{\text{ P }}\]. |
(ii)\[\text{1}\text{.331 =}\underline{\text{ Q }}\]. |
(iii) \[\text{4}\text{.913=}\underline{\text{ R }}\]. |
(iv)\[\text{15}\text{.625=}\underline{\text{ S }}\]. |
A)
P | Q | R | S |
0.215 | 1.31 | 2.7 | 2.55 |
B)
P | Q | R | S |
0.115 | 1.11 | 1.17 | 3.25 |
C)
P | Q | R | S |
0.15 | 1.1 | 1.7 | 2.5 |
D)
P | Q | R | S |
0.25 | 1.21 | 2.17 | 4.15 |
question_answer23) Match the following.
Column - I | Column - II |
P. The smallest number that should be subtracted from 130 to make it perfect cube is | (i) 4 |
Q. The smallest number that should be subtracted from 9268 to make it perfect cube is | (ii) 3 |
R. The smallest number that should be added to 2194 to make it perfect cube is | (iii) 5 |
S. The smallest number that should be added to 6855 to make it perfect cube is | (iv) 7 |
A) P\[\to \](iii); Q\[\to \](i); R\[\to \](iv); S\[\to \](ii) done clear
B) P\[\to \](ii); Q\[\to \](iv); R\[\to \](i); S\[\to \](iii) done clear
C) P\[\to \](iii); Q\[\to \](i); R\[\to \](ii); S\[\to \](iv) done clear
D) P\[\to \](iii); Q\[\to \](iv); R\[\to \](ii); S\[\to \](i) done clear
View Solution play_arrowquestion_answer24) Evaluate the following.
(i) \[\sqrt[3]{\frac{0.027}{0.008}}\div \sqrt[3]{\frac{0.729}{0.512}}-\frac{1}{3}\] |
(ii) \[\sqrt[3]{343}+\sqrt[3]{0.064}-\sqrt[3]{0.125}\] |
(iii) \[\left[ \left( \sqrt[3]{\frac{-216}{42875}}+\sqrt[3]{\frac{64}{125}} \right) \right]\times \sqrt[3]{\frac{343}{1331}}\] |
A)
(i) | (ii) | (iii) |
1 | 6.9 | \[\frac{2}{5}\] |
B)
(i) | (ii) | (iii) |
3 | 7.1 | \[\frac{1}{5}\] |
C)
(i) | (ii) | (iii) |
4 | 7.9 | \[\frac{2}{5}\] |
D)
(i) | (ii) | (iii) |
1 | 6.5 | \[\frac{1}{5}\] |
question_answer25) Which of the following statements is CORRECT?
Statement 1: Cube root of 117.649 is a rational number. |
Statement 2: Cube of an odd number may or may not be odd. |
A) Only Statement - 1 done clear
B) Only Statement - 2 done clear
C) Both Statement -1 and Statement - 2 done clear
D) Neither Statement -1 nor Statement - 2 done clear
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