126. The value of   √³√0.000729   is

1. 1. 0.9

   
   
   

   2. 0.3

   
   
   

   3. 0.03

   
   
   

   4. 0.09

   
   
   

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1. View Hint View Answer Discuss in Forum

   Expression
   = √³√0.000729
   = √³√0.09 × 0.09 × 0.09
   = √0.09 = √0.3 × 0.3
   = 0.3

   Correct Option: B

   Expression
   = √³√0.000729
   = √³√0.09 × 0.09 × 0.09
   = √0.09 = √0.3 × 0.3
   = 0.3

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127. If   ³√3ⁿ = 27,   then the value of n is :

1. 1. 9

   
   
   

   2. 6

   
   
   

   3. 1

   
   
   

   4. 3

   
   
   

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1. View Hint View Answer Discuss in Forum

     ³√3ⁿ = 27
   ⇒  (3)^n/3 = 3³
   

   ⇒	n	= 3 ⇒ n = 3 × 3 = 9
   	3

   Correct Option: A

     ³√3ⁿ = 27
   ⇒  (3)^n/3 = 3³
   

   ⇒	n	= 3 ⇒ n = 3 × 3 = 9
   	3

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128. 3√	1 −	127	is equal to
     		343

1. 1. 5

      9

   
   
   

   2. 1 −	1
      	7

   
   
   

   3. 4

      7

   
   
   

   4. 1 −	2
      	7

   
   
   

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1. View Hint View Answer Discuss in Forum

   =	3√	1 −	127	=	3√	343 − 127
   			343			343

   
   

   =	3√	216	=	3√	(6)3
   		343			(7)3

   
   

   =	6	= 1 −	1
   	7		7

   Correct Option: B

   =	3√	1 −	127	=	3√	343 − 127
   			343			343

   
   

   =	3√	216	=	3√	(6)3
   		343			(7)3

   
   

   =	6	= 1 −	1
   	7		7

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129. (³√1000 + ³√0.008 − ³√0.125) is equal to

1. 1. 9.7

   
   
   

   2. 9.97

   
   
   

   3. 9.997

   
   
   

   4. 9.9997

   
   
   

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1. View Hint View Answer Discuss in Forum

   ³√1000 + ³√0.008 − ³√0.125
   = 10 + 0.2 – 0.5 = 9.7

   Correct Option: A

   ³√1000 + ³√0.008 − ³√0.125
   = 10 + 0.2 – 0.5 = 9.7

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130. The sum of the squares of 2 numbers is 146 and the square root of one of them is √5.The cube of the other number is

1. 1. 1111

   
   
   

   2. 1221

   
   
   

   3. 1331

   
   
   

   4. 1441

   
   
   

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1. View Hint View Answer Discuss in Forum

   First number = (√5)² = 5
   Let the second number be x.
   ∴  x² + 5² = 146
   ⇒  x² = 146 –25 = 121
   ⇒  x = √121 = 11
   ∴  Cube of 11 =1331

   Correct Option: C

   First number = (√5)² = 5
   Let the second number be x.
   ∴  x² + 5² = 146
   ⇒  x² = 146 –25 = 121
   ⇒  x = √121 = 11
   ∴  Cube of 11 =1331

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