We provide cubes and cube roots practice exercises, instructions, and a learning material that allows learners to study outside of the classroom. We focus on cubes and cube roots skills mastery so, below you will get all questions that are also asking in the competition exam beside that classroom.

#### List of cubes and cube roots Questions

Question No | Questions | Class |
---|---|---|

1 | Examine if 398 is a perfect cube. If not, then find the smallest number that must be subtracted from 398 to obtain a perfect cube | 8 |

2 | 127 343 is equal to 13 (3) 9 (2) 1-2 (41-2 | 8 |

3 | The cube root of 4.096 is A . 1.6 B. 1.7 ( c cdot 1.8 ) D. 2.6 | 8 |

4 | Find the cube root of 614125 using prime factorization: A . 65 B. 75 c. 85 D. 95 | 8 |

5 | Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube: A .243 в. 3072 c. 11979 D. 19652 | 8 |

6 | Estimate the value of cube root of the number 1333 A . 10.99 B. 20.10 c. 12.45 D. 10.56 | 8 |

7 | Represent the number 19 as the difference between the cubes of natural numbers. | 8 |

8 | If ( boldsymbol{alpha}=mathbf{3}, boldsymbol{beta}=mathbf{5} ) and ( gamma=mathbf{8}, ) then the value of ( boldsymbol{alpha}^{3}+boldsymbol{beta}^{3}+boldsymbol{gamma}^{3} ) is A. -240 в. 240 c. -360 D. | 8 |

9 | The cube of a two digit number may be a three digit number. A. True B. False c. Insufficient Data D. None of these | 8 |

10 | Find the digit at unit’s place of ( 128^{3} ) ( A cdot 8 ) B. 6 ( c cdot 4 ) D. 2 | 8 |

11 | Find the cubes of the following numbers: 40 | 8 |

12 | A perfect cube does not end with two zeros A. True B. False c. Ambiguous D. Data insufficient | 8 |

13 | Cubes of Negative integers are negative A. True B. False c. Ambiguous D. Data insufficient | 8 |

14 | Find the cube root of ( 99-70 sqrt{2} ) | 8 |

15 | Find the smallest number that must be added to 400 to make it a perfect cube A . 108 в. 112 c. 18 D. 12 | 8 |

16 | The cube of a two digit number may have seven or more digits. A. True B. False c. Insufficient Data D. None of these | 8 |

17 | If the volume of a cuboid is ( 3 x^{2}-27 ) then its possible dimensions are A. ( 3, x^{2},-27 x ) в. ( 3, x-3, x+3 ) c. ( 3, x^{2}, 27 x ) D. 3,3,3 | 8 |

18 | If ( omega ) is an imaginary cube root of unity then ( left(1+omega-omega^{2}right)^{7} ) equals? A. ( 128 omega ) B. ( -128 omega ) c. ( -128 omega^{2} ) D. None of these | 8 |

19 | Write the units digit of the cube for 109 ( A cdot 1 ) B. 7 ( c .9 ) D. 3 | 8 |

20 | The value of ( (27 times 2744)^{frac{1}{3}} ) is A . 40 B. 42 c. 22 D. 32 | 8 |

21 | Find the smallest number by which a given number must be multiplied to obtain a perfect cube 72 | 8 |

22 | Find the value of ( (47)^{3} ) using the shortcut or column method | 8 |

23 | Find the smallest number by which a given number must be divided to obtain a perfect cube 704 | 8 |

24 | Find the nearest integer to the cube root of 331776: | 8 |

25 | Evaluate the following: ( mathbf{1 0 4}^{mathbf{3}}+mathbf{9 6}^{mathbf{3}} ) | 8 |

26 | Find the cube root of 39304 by estimation method. A . 24 B. 44 ( c .34 ) D. 54 | 8 |

27 | Evaluate the following: ( 46^{3}+34^{3} ) | 8 |

28 | 64. 553 + 173 – 723 + 201960 is equal to (1)-1 (2) O (3) 1 (4) 17 | 8 |

29 | Find the smallest number by which a given number must be divided to obtain a perfect cube 81 | 8 |

30 | What is the smallest number by which 3645 be multiplied so that the product becomes a perfect cube? A . 5 B . 25 c. 15 D. 35 5 | 8 |

31 | Cube of 1.5 is: ( mathbf{A} cdot 3.375 ) B. 33.75 c. 3.125 D. 31.25 | 8 |

32 | How many consecutive odd numbers are required to form ( 10^{3} ) as their sum? A . 10 B. 11 ( c .9 ) D. 20 | 8 |

33 | The smallest number by which 392 must be multiplied so that the product is a perfect cube, is A . 3 B. 5 ( c cdot 7 ) D. 9 | 8 |

34 | Find the smallest number which should be multiplied to 231525 to make it a perfect cube. A . 5 B. 3 ( c cdot 7 ) D. 21 | 8 |

35 | The prime factor of 128 is A. 0 B. 1 ( c cdot 2 ) D. 3 | 8 |

36 | ( ln (34)^{33} ) unit digit is 4 | 8 |

37 | If ( 27=a^{3}, ) find the value of ( a ) ( mathbf{A} cdot mathbf{1} ) B . 2 ( c .3 ) D. 4 | 8 |

38 | If cube of ( 1 frac{2}{3}, ) is of the form ( frac{a}{b}, ) then ( a+ ) ( b ) is equal to: | 8 |

39 | Find the cube root of each of the following numbers by prime factorisation method: 13824 A . 14 B . 24 ( c .34 ) D. 44 | 8 |

40 | What is the least number which must be subtracted from 369 to make it a perfect cube? ( mathbf{A} cdot mathbf{8} ) B . 26 ( c cdot 2 ) D. 25 | 8 |

41 | The smallest number by which 8,788 must be divided so that the quotient is perfect cube is: ( A cdot 4 ) B. 12 ( c cdot 16 ) D. 32 | 8 |

42 | Find the cube root of : 8 | 8 |

43 | Find the smallest number which should be multiplied to 100 to get a perfect cube. | 8 |

44 | Which of the following numbers are perfect cubes? In case of perfect cube find the number with cube is the given number. ( mathbf{2 1 9 5 2} ) | 8 |

45 | The cube root of any multiple of 8 is always divisible by: A . 2 B. 4 c. 8 D. 16 | 8 |

46 | Cube of any odd number is even A. True B. False c. Depends on the number D. Data Insufficient | 8 |

47 | The value of ( sqrt[3]{5 times 25} ) is A. 5 B. 25 ( c cdot 125 ) D. none of these | 8 |

48 | Find the smallest number by which 26244 is divided to get the quotient as a perfect cube A . 4 B. 9 c. 18 D. 36 6 | 8 |

49 | Evaluate the following: ( (99)^{3} ) | 8 |

50 | Find the cube root of the number 514 A . 8.0104 B. 8.1104 ( c cdot 8.2104 ) D. 8.3104 | 8 |

51 | State true or false: 100 is a perfect cube A. True B. False | 8 |

52 | Find the cube root of : ( mathbf{2}^{frac{10}{27}} ) ( A cdot 2^{frac{1}{27}} ) B. ( 2^{frac{1}{50}} ) c. ( 2^{frac{5}{5}} ) D. None of these | 8 |

53 | ( sqrt[3]{-13824}=? ) A . -24 B. -28 ( c .-26 ) D. -34 | 8 |

54 | Evaluate ( :(98)^{3} ) | 8 |

55 | Evaluate : (i) ( (1.2)^{3} ) (ii) ( (3.5)^{3} ) (iii) ( (0.8)^{3} ) ( (i v)(0.5)^{3} ) | 8 |

56 | Find the smallest number by which 72 must be multiplied, so that the product is a perfect cube A . 3 B. 6 c. 12 D. 4 | 8 |

57 | Find the smallest number by which each of the following number must be divided to obtain a perfect cube. (i) 81 (ii) 128 (iii) 135 (iv) 192 ( mathbf{7 0 4} ) (vi) 625 | 8 |

58 | Solve ( (-10)^{3}+(7)^{3}+(3)^{3} ) | 8 |

59 | Find the nearest integer to the cube root of 46656 | 8 |

60 | Find the smallest number by which the following number must be divided to obtain a perfect cube 704 A . 1 B. 12 ( c cdot 14 ) D. 15 | 8 |

61 | An odd cube number will have a/an cube root. A . odd B. even C. fraction D. none of these | 8 |

62 | By what smallest number 29160 be divided so that the quotient becomes a perfect cube? | 8 |

63 | Find the cube root of the following number by prime factorisation method 175616 | 8 |

64 | What number must be multiplied to ( 6912, ) so that the product becomes a perfect cube? ( A cdot 2 ) B. 3 ( c cdot 4 ) D. 6 E . 10 | 8 |

65 | If ( left(p^{2}+q^{2}right)^{3}=left(p^{3}+q^{3}right)^{2} ) and ( p q neq 0 ) then the value of ( frac{boldsymbol{p}}{boldsymbol{q}}+frac{boldsymbol{q}}{boldsymbol{p}} ) is | 8 |

66 | Find the smallest number which should be multiplied to 392 to make it a perfect cube. A . 3 B. 4 ( c .5 ) D. | 8 |

67 | Find it is a perfect cubes or not? ( mathbf{3 3 7 5} ) | 8 |

68 | Find the smallest number by which the following number must be divided to obtain a perfect cube: 128 | 8 |

69 | Cube of all odd natural numbers are odd A. True B. False c. Ambiguous D. Data insufficient | 8 |

70 | Find the smallest number by which 2808 must be multiplied so that the product is a perfect cube. | 8 |

71 | The value of ( sqrt[3]{-a^{3}} times sqrt[3]{-b^{3}} ) is ( A cdot a ) B. ( c cdot a b ) D. none of these | 8 |

72 | Cube of 1.3 is: A . 2197 B. 219.7 c. 21.97 D. 2.197 | 8 |

73 | Which of the following is the cube of odd natural number? A .32,768 B. 4,096 c. 6,859 D. 1,728 | 8 |

74 | Find the cube root of the following number by prime factorization method: ( mathbf{1 3 3 1} ) | 8 |

75 | How many consecutive odd numbers will be needed to obtain the sum of ( 4^{3} ? ) A .2 B. 3 ( c cdot 4 ) D. | 8 |

76 | Find the smallest no. by which of the following no. must be multiplied to obtain a perfect cube (i) 243 (ii) 256 (iii) 72 (iv) 675 (v) 100 | 8 |

77 | The value of ( sqrt[3]{-125 times(-1000)} ) is A. 50 B. – -50 c. 55 D . -55 | 8 |

78 | Find the cube root of 3375 by the method of prime factorization. A . 15 B . 25 c. 35 D. 55 | 8 |

79 | Find the given number is a perfect cube or not. ( mathbf{1 3 8 2 4} ) | 8 |

80 | Find the smallest number that such must be subtracted from 220 to make it a perfect cube | 8 |

81 | The number which is not a perfect cube, from the following is: A. 1,331 B . 216 c. 243 D. 512 | 8 |

82 | Find the smallest no. by which each of the following no. must be divided to obtain a perfect cube. (i) 81 (ii) 128 (iii) 135 (iv) 192 (v) 704 | 8 |

83 | If the cube root of ( n ) is ( 4, ) then find the square root of ( n ) A .4 B. 6 ( c cdot 8 ) D. 16 | 8 |

84 | What is the smallest positive integer ( boldsymbol{K} ) such that ( 2000 times 2001 times K ) is a perfect cube? A ( cdot 2^{3} times 3^{3} times 23^{3} times 29^{3} ) B . ( 2 times 3 times 23 times 29 ) c. ( 2 times 3^{2} times 23^{3} times 29^{4} ) D . ( 2^{2} times 3^{2} times 23^{2} times 29^{2} ) | 8 |

85 | Write the units digit of the cube of 833 ( A cdot 3 ) B. 7 ( c .1 ) D. | 8 |

86 | Find the cube root of the number 704969 by looking at the last digit and using estimation | 8 |

87 | Find the cube root of the given number through estimation: ( mathbf{2 1 9 7} ) | 8 |

88 | By what smallest number should we divide 9000 so that the quotient becomes a perfect cube. Find the cube root of the quotient A . 9,10 B. 9, ( c cdot 19,10 ) D. 19, 5 | 8 |

89 | Find the product of three consecutive odd integers, if one of them is ( (2 m+1) ) | 8 |

90 | Find the cube root of 64 by prime factorisation method. | 8 |

91 | Show that ( sqrt[3]{125 times 64}=sqrt[3]{125} times sqrt[3]{64} ) | 8 |

92 | What is the cube root of ( -4096 ? ) A . -64 B. -16 c. 16 D. 64 | 8 |

93 | Cube of all even natural numbers are even A . True B. False c. Ambiguous D. Data insufficient | 8 |

94 | If ( boldsymbol{x}=mathbf{2}^{mathbf{3}} times mathbf{4}^{mathbf{2}} times mathbf{1} mathbf{7}^{mathbf{3}}, ) then which number should be divided by ( x ) to get a perfect cube. ( A cdot 2 ) B. 4 c. 8 D. 17 | 8 |

95 | Find the two digit number which is a square number and also a cubic number. | 8 |

96 | You are told that 1331 is a perfect cube Can you guess without factorisation what is its cube root? Similarly, guess the cube root of 4913,12167,32768 | 8 |

97 | 571787 is a perfect cube Find the cube root of the following number: | 8 |

98 | If ( n=67 ) then find the unit digit of ( left[3^{n}+2^{n}right] ) ( A ) B. 10 ( c cdot 5 ) D. None | 8 |

99 | Simplify: ( (-2) times(-3)^{3} ) | 8 |

100 | If ( 72 K ) is a perfect cube, then the value of ( boldsymbol{K} ) is: ( mathbf{A} cdot mathbf{1} ) B . 2 ( c .3 ) D. | 8 |

101 | Find the given number is a perfect cube or not. ( mathbf{5 4 0} ) | 8 |

102 | The cube of an odd natural number is A. Even B. Odd c. May be even, May be odd D. Prime number | 8 |

103 | Find the smallest number by which 33275 must be multiplied so that the product is a perfect cube. | 8 |

104 | ( sqrt[3]{-512}=? ) ( mathbf{A} cdot-64 ) B . -8 C. Not defined D. None of these | 8 |

105 | Find the cube root of: 175616 A . 56 B. 46 ( c .66 ) D. 76 | 8 |

106 | What is the value of ( sqrt[3]{27} times sqrt[3]{-27} ? ) A . -9 в. -27 c. 9 ( D ) | 8 |

107 | Find the smallest number by which 9000 shoud be divided so that the quotient becomes a perfect cube? ( A cdot 3 ) B. 9 c. 27 ( D ) | 8 |

108 | Find the smallest number by which 4232 must be multiplied to make it a perfect cube. A .2 B. 17 c. 19 D. 23 | 8 |

109 | ( fleft(x+frac{1}{x}right)^{2}=3 ) then find the value of ( boldsymbol{x}^{boldsymbol{6}} ) | 8 |

110 | By what number 4320 must be multiplied to obtain a number which is a perfect cube? ( mathbf{A} cdot 60 ) B . 45 c. 50 D. 55 | 8 |

111 | Find the cube root of 27000 by prime factorisation method. | 8 |

112 | Multiply 137592 by the smallest number so that the product is a perfect cube. | 8 |

113 | Check whether ( 24 x^{3} y^{2} ) is a perfect cube or not. If not, find the smallest number by which it should be divided to make it a perfect cube. Also, find the cube root of the perfect cube number so obtained. | 8 |

114 | The smallest number by which 5400 must be multiplied so that it becomes a perfect cube is: ( mathbf{A} cdot 12 ) B . 10 ( c .5 ) D. 3 | 8 |

115 | Factorise: ( 27 a^{3}+frac{1}{64 b^{3}}+frac{27 a^{2}}{4 b}+frac{9 a}{16 b^{2}} ) | 8 |

116 | The smallest natural number by which 36 must be multiplied to get a perfect cube is ( A cdot 6 ) в. 216 ( c cdot 45 ) D. | 8 |

117 | Find the smallest number which when multiplied with 53240 will make the product a perfect cube. | 8 |

118 | The sum of the cubes of three consecutive natural numbers is divisible by A. 7 B. 9 ( c cdot 25 ) D. 26 | 8 |

119 | ( (a+b)^{3}=? ) ( mathbf{A} cdot a^{3}+3 a^{2} b+3 a b^{2}+b^{3} ) B ( cdot a^{3}+a^{2} b+a b^{2}+b^{3} ) c. ( a^{3}-3 a^{2} b+3 a b^{2}-b^{3} ) D ( cdot a^{3}+3 a^{2} b-3 a b^{2}+b^{3} ) | 8 |

120 | Fill in the blanks: ( sqrt[3]{ldots ldots . .}=sqrt[3]{boldsymbol{4}} times sqrt[3]{mathbf{5}} times sqrt[3]{boldsymbol{6}} ) | 8 |

121 | How will you represent 49 in cube root? A ( cdot sqrt[7]{49} ) B. ( sqrt[2]{49} ) ( c cdot sqrt[4]{49} ) D. ( sqrt[3]{49} ) | 8 |

122 | If the square root of a number is between 6 and ( 7, ) then its cube root lies between ( mathbf{A} cdot 2,3 ) в. 2.5,3 ( c .3,4 ) D. 4,4.5 | 8 |

123 | 392 is a perfect cube A. True B. False c. Ambiguous D. Insufficient information | 8 |

124 | Find the cube root of a given number by prime factorization method. 27000 | 8 |

125 | What is a smallest number by which 2560 is to be multiplied so that the product is a perfect cube? | 8 |

126 | On multiplying 137592 by the smallest number ( _{–}-_{-}- ) the product is a perfect cube, the cube root of this perfect cube number is A ( cdot 7 times 13^{2}, 546 ) В. ( 7 times 13^{3}, 546 ) c. ( 5 times 13,546 ) D. ( 7 times 13^{4}, 546 ) | 8 |

127 | If ( boldsymbol{a}+boldsymbol{b}+boldsymbol{c}=mathbf{0}, ) then ( boldsymbol{a}^{3}+boldsymbol{b}^{3}+boldsymbol{c}^{3}= ) ( k a b c, ) the value of ( ^{prime} k^{prime} ) is | 8 |

128 | Find the cube root of 512 | 8 |

129 | Find the cube root of : ( mathbf{1} ) ( mathbf{A} cdot mathbf{1} ) B. 2 c. Does not exist D. None of these | 8 |

130 | Find the cube root of 0.000000027 A . 0.03 B. 0.3 c. 0.003 D. 0.0003 | 8 |

131 | Is 243 a perfect cube? If not find the smallest number by which 243 must be multiplied to get a perfect cube | 8 |

132 | From the following options, choose the option with which perfect answer does not ends with A . 5 B. 4 ( c cdot 0 ) D. None of the above | 8 |

133 | The value of ( sqrt[3]{-512} times sqrt[3]{8} ) is ( ldots ) A . -16 B. 4 ( c cdot-5 ) ( D cdot-4 ) | 8 |

134 | By what smallest number should we multiply 8788 so that the product becomes a perfect cube. Find the cube root of the product A .2,26 B. 2,6 c. 22,26 D. 22, 21 | 8 |

135 | Evaluate: ( sqrt[3]{frac{216}{2197}} ) ( A cdot frac{6}{13} ) в. ( frac{7}{13} ) ( c cdot frac{8}{13} ) D. ( frac{4}{13} ) | 8 |

136 | What is the smallest number by which 1600 is to be divided, so that the quotient is a perfect cube? | 8 |

137 | What is the least number by which 8640 is divided, the quotient as a complete cube number? ( A cdot 6 ) B. 7 ( c cdot 5 ) D. 8 | 8 |

138 | The value of ( (3.1)^{3} ) is A . 27.971 B. 29.791 c. 29.97 D. 27.197 | 8 |

139 | Evaluate the cube root of: ( sqrt[3]{343} ) | 8 |

140 | Find the smallest number by which the number 108 must be multiplied to obtain a perfect cube A .2 B. 3 ( c cdot 4 ) D. 5 | 8 |

141 | What will be the unit digit of ( (87)^{75^{63}} ) | 8 |

142 | Check whether the following are perfect cubes? (i) 400 (ii) 216 (iii) 729 (iv) 250 (v) 1000 (vi) 900 | 8 |

143 | Which of the following number has same unit digit as its cube? ( begin{array}{l}text { A } cdot 122^{3} \ ^{3}end{array}^{1}^{32} ) B. ( 168^{3} ) ( mathbf{c} cdot 137^{3} ) D. ( 184^{3} ) | 8 |

144 | Which one of the following numbers is not a complete cube? 64,216,343,256 A . 64 в. 216 c. 343 D. 256 | 8 |

145 | Find the cubes of the following numbers: ( mathbf{3 0 2} ) | 8 |

146 | which of the following numbers are the cubes of following numbers: (i) 216 (ii) 729 (iii) 512 ( (i v) 3375 ) (v) 1000 | 8 |

147 | Evaluate using identities ( 6^{3}-9^{3}+3^{3} ) ( mathbf{A} cdot-486 ) в. 486 ( c .-86 ) D. None of these | 8 |

148 | Find the unit digit of the cube root of the following number: ( mathbf{1 7 5 6 1 6} ) A . 5 B. 6 c. 8 D. 9 | 8 |

149 | State True or False Cube of any odd number is even A. True B. False c. Ambiguous D. Data insufficient | 8 |

150 | Write cubes of 5 natural numbers which are of the form ( 3 n+1(e . g .4,7,10,, . . .) ) and verify the following: ‘The cube of a natural number of the form ( 3 n+1 ) is a natural number of the same form’. | 8 |

151 | Write the units digit of the cube for ( mathbf{5 9 2 2} ) A . 8 B. 4 ( c .6 ) D. none of these | 8 |

152 | Find the value of ( left(1^{3}+2^{3}+3^{3}right)^{frac{1}{2}} ) | 8 |

153 | Find the smallest number by which the following number must be multiplied to obtain a perfect cube 243 ( A cdot 3 ) B. ( c cdot 0 ) D. | 8 |

154 | Find the cube of 30 | 8 |

155 | Cube of any positive integer is of the form ( 9 m, 9 m+1 ) or ( 9 m+8, ) where ( m ) is a non-negative integer. A. True B. False c. Neither D. Either | 8 |

156 | ( frac{4}{9^{frac{1}{3}}-3^{frac{1}{3}}+1} ) is equal to ( A cdot 3^{frac{1}{5}}+1 ) B. ( 3^{frac{1}{5}}-1 ) c. ( 3^{frac{1}{5}}+2 ) D. ( 3^{frac{1}{5}}-2 ) | 8 |

157 | By which smallest number must the following numbers be divided so that the quotient is a perfect cube? ( mathbf{7 8 0 3} ) | 8 |

158 | By what least number 4320 be multiplied to become a perfect cube? A . 10 B. 30 c. 20 D. 50 | 8 |

159 | What smallest number should 7803 be multiplied with so that the product becomes a perfect cube | 8 |

160 | Is there any number whose perfect cube ends with ( 8 ? ) (Yes or No) | 8 |

161 | If ( a^{2} ) ends in ( 9, ) then ( a^{3} ) will end in: ( A cdot 7 ) B. 3 c. 5 D. none of the above | 8 |

162 | Find the cube root of the following numbers by prime fractorisaiton method. ( mathbf{3 4 3} ) ( mathbf{4 0 9 6} ) ( mathbf{5 8 3 2} ) ( mathbf{1 2 5 0 0 0} ) | 8 |

163 | How many consecutive odd numbers are needed to make sum as ( 13^{3} ? ) A. 11 B . 13 ( c .15 ) D. 17 | 8 |

164 | Find the smallest number by which 128 must be divided so that the result is a perfect cube. | 8 |

165 | State true or false If square of a number ends with ( 5, ) then its cube ends with 25 A. True B. False c. Ambiguous D. Data insufficient | 8 |

166 | The sum of any number of consecutive cubes beginning with 1 is always a: A. perfect square B. perfect cube c. odd number D. even number | 8 |

167 | Which of the following numbers are not perfect cubes? (i) 128 (ii) 100 (iii) 64 (iv) 125 ( mathbf{7 2} quad(mathbf{v i}) mathbf{6 2 5} ) | 8 |

168 | Find the cube root of each of the following numbers by prime factorisation method 512 ( A cdot 6 ) B. 8 ( c cdot 7 ) D. | 8 |

169 | ( boldsymbol{x}^{boldsymbol{3}}+boldsymbol{x}^{boldsymbol{3}}+boldsymbol{x}=? ) if ( boldsymbol{x}=boldsymbol{7} ) | 8 |

170 | 8640 is not a perfect cube A. True B. False c. Ambiguous D. Insufficient information | 8 |

171 | Find the value of the following: (i) ( 15^{3} ) (ii) ( (-4)^{3} ) (iii) ( (1.2)^{3}(text { iv })left(frac{-3}{4}right)^{3} ) | 8 |

172 | The cube root of a number is a number when ( _{text {一一一一一一 }} ) three times gives that number. A. divided B. addedd c. subtracted D. multiplied | 8 |

173 | If ( sqrt[3]{mathbf{7 2} times boldsymbol{A}}=mathbf{1 2}, ) then find the value of ( boldsymbol{A} ) A . 12 B . 24 ( c .36 ) D. 6 | 8 |

174 | If ( a+b+c=0 ) then prove that ( a^{3}+ ) ( b^{3}+c^{3}=3 a b c ) | 8 |

175 | Show that 6 is not a perfect cube | 8 |

176 | The value of ( sqrt{1^{3}+2^{3}+3^{3}} ) is A. 5 B. 6 ( c cdot 7 ) D. 8 | 8 |

177 | ( sqrt[3]{27000}= ) A . 300 в. 3000 ( c .30 ) D. 900 | 8 |

178 | ( ln (46)^{13} ) unit digit is 6 | 8 |

179 | Find the cube root of 15625 by prime factorization method. | 8 |

180 | The cube of an odd natural number is always A. Even B. Odd c. Even or odd D. Can’t say | 8 |

181 | Find the cube of 133: | 8 |

182 | The value of ( sqrt[3]{5 times 25} ) is A. 5 B. 25 ( c cdot 1 ) D. 125 | 8 |

183 | What is the smallest number by which 18522 must be divided so that the quotient is a perfect cube? | 8 |

184 | The cube of two digit number may have seven or more digits A. True B. False c. Ambiguous D. Data insufficient | 8 |

185 | What is the smallest positive number greater than 1 which is a cube as well as a square? A . 8 B. 64 ( c cdot 72 ) D. 144 | 8 |

186 | The smallest number by which 3600 can be divided to make it a perfect cube is: ( A cdot 9 ) B. 50 ( c .300 ) D. 450 | 8 |

187 | Find the smallest number which should be multiplied to 10584 to get a perfect cube. | 8 |

188 | Find the smallest number by which 128 must be divided, so that the quotient is a perfect cube A .2 B. 3 ( c cdot 7 ) D. 12 | 8 |

189 | A number ( a ) is called a perfect cube if there exists a natural number ( b ) such that A. ( a=b times b times b ) ( b ) В. ( b=a times a times a ) ( c, a=a times b times a ) ( a ) D. ( a=a times b times b ) | 8 |

190 | Cube of odd natural number is number A . odd B. even c. negative D. prime | 8 |

191 | Find the smallest number by which 64 must be divided so that the result is a perfect cube. | 8 |

192 | Write the units digit of the cube for 7171 ( A cdot 1 ) B. 2 ( c .5 ) D. 3 | 8 |

193 | 13. (1) 343-7 (3) 2166 2 5168 4729-9 | 8 |

194 | Divide the number 26244 by the smallest number so that the quotient is a perfect cube | 8 |

195 | Find the cube root of each of the following cube numbers through estimation. ( mathbf{8 5 1 8 4} ) | 8 |

196 | Find the smallest number by which 8788 must be multiplied to obtain a perfect cube. | 8 |

197 | If ( 72 K ) is a perfect cube, find the value of ( boldsymbol{K} ) ( mathbf{A} cdot mathbf{1} ) B . 2 ( c .3 ) D. | 8 |

198 | What will be the unit digit of ( 137959^{3} ) ( mathbf{A} cdot mathbf{1} ) B. 3 ( c .6 ) D. | 8 |

199 | If the unit place of a number is ( 7, ) then find the unit digit of its cube. A . 1 B. 3 c. 5 ( D ) | 8 |

200 | In the five digit number ( 1 b 6 a 3, ) a is the greatest single digit perfect cube and twice of it exceeds by ( 7 . ) Then the sum of the number and its cube root is ( mathbf{A} cdot 18700 ) B. 11862 c. 19710 D. 25320 | 8 |

201 | Find the smallest number which should be multiplied to 15625 to get a perfect cube. | 8 |

202 | By what smallest number 5184 be divided, so what the resulting number becomes a perfect cube? | 8 |

203 | Find the smallest number which should be multiplied to 1352 to get a perfect cube. ( mathbf{A} cdot 12 ) B . 13 c. 61 D. 21 | 8 |

204 | Factorise ( 8 x^{3}+27 y^{3}+36 x^{3} y+54 x y^{2} ) | 8 |

205 | Evaluate ( : 125 sqrt[3]{a^{6}}-sqrt[3]{125 a^{6}} ) | 8 |

206 | Find the cube root of 125 | 8 |

207 | What is the smallest number by which 1600 must be divided so that the quotient is a perfect cube? | 8 |

208 | Value of ( sqrt[3]{343} ) is: A. 7 B. – 5 ( c cdot frac{7}{5} ) D. | 8 |

209 | Find the cube root of 5832 | 8 |

210 | To cube a number, how many times you need to multiply the number with itself? A. 1 time B. 2 times c. 3 times D. 4 times | 8 |

211 | What is the value of ( sqrt[3]{-8}-sqrt[3]{-216} ? ) A . -8 B. -4 ( c cdot 4 ) D. | 8 |

212 | Find the smallest number that must be subtracted from 6868 to make it a perfect cube. | 8 |

213 | Simplify: ( sqrt[3]{frac{216}{2197}} ) ( A cdot frac{36}{27} ) в. ( frac{66}{23} ) ( c cdot frac{6}{13} ) D. None of the above | 8 |

214 | Which of the following statements is true? A. Cube root of a positive number may be a negative number B. Cube root of a number ending with 8 ends with 2 . C. Cube root of an odd number may be an even number. D. All above statements are false | 8 |

215 | ( sqrt{sqrt[3]{125+sqrt{24}}} ) is equal to ( A cdot sqrt{5}-1 ) B. ( sqrt{3}+sqrt{2} ) c. ( sqrt{3}+1 ) D. ( sqrt{5}+sqrt{2} ) | 8 |

216 | Find the smallest number by which 243 must be multiplied to make it a perfect cube. A . 1 B. 2 ( c .3 ) D. 4 | 8 |

217 | Which of the following numbers are not perfect cubes? 1. २१६ 2. 125 3.1000 4.46656 | 8 |

218 | The smallest natural number by which 1296 be divided to get a perfect cube is A . 16 B. 6 ( c cdot 60 ) D. none of these | 8 |

219 | Write the value of ( 25^{3}-75^{3}+50^{3} ) | 8 |

220 | Is the following number a perfect cube? ( mathbf{4 6 6 5 6} ) Say yes or no. A. Yes B. No c. Ambiguous D. Data insufficient | 8 |

221 | The sum of any three distinct natural numbers arranged in ascending order is 200 such that the second number is a perfect cube. How many possible values are there for this number? ( A cdot 4 ) B. 3 c. 2 ( D ) | 8 |

222 | ( ln (25)^{15} ) unit digit is 5 | 8 |

223 | State true or false: If a number ends with ( 5, ) then its cube ends with 5 A. True B. False | 8 |

224 | Solved: ( sqrt[3]{64} ) | 8 |

225 | Find the cube root of 512 by prime factorisation method: | 8 |

226 | Find the cube root of each of the following numbers by prime Factorization method: (i) 729 (ii) 343 (iii) ( 512(text { iv ) } 0.064 ) ( mathbf{0 . 2 1 6} ) ( (v i) 5 frac{23}{64}(v i i)-1.331(v i i i) ) -27000 | 8 |

227 | Write an equivalent exponential form for radical expression. ( sqrt[3]{13} ) | 8 |

228 | If the cube root of a number, which is 8 more than a number ( n ) equals ( -0.5, ) find the value of ( n ) A . -15.625 в. -8.794 c. -8.125 D. -7.875 E . 421.875 | 8 |

229 | Find the cube root of the following number by prime factorization method: 2744 | 8 |

230 | Find the cube root of the following number by prime factorization method: ( mathbf{2 7 0 0 0} ) ( A .30 ) B . 40 c. 50 D. 80 | 8 |

231 | Find the negative of cube root of -2744000: | 8 |

232 | What will be the unit digit of ( 98765^{3} ) ( mathbf{A} cdot mathbf{5} ) B. 0 ( c cdot 2 ) D. 3 | 8 |

233 | Find the smallest number by which each of the following number must be multiplied to obtain a perfect cube. (i) 243 (ii) 256 (iii) 72 (iv) 675 ( mathbf{1 0 0} ) | 8 |

234 | Looking at the pattern, fill in the gaps in the following ( mathbf{3} ) ( 4 quad-5 ) , and ( begin{array}{cccc}2^{3}= & 3^{3}= & ldots= & ldots ldots \ 8 & ldots ldots & 64 & ldotsend{array} ) | 8 |

235 | If we wrote ( n^{3} ) as the sum of consecutive odd numbers then what will be the first term. ( mathbf{A} cdot 2 n+1 ) B. ( (2 n+1)(2 n-1) ) c. ( 2 n-1 ) D. ( n(n-1)+1 ) | 8 |

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