26. 250 / √? = 10

1. 1. 25

   
   
   

   2. 250

   
   
   

   3. 625

   
   
   

   4. 2500

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let 250 / √x = 10.
   Then, √x= 250 / 10 = 25

   Correct Option: A

   Let 250 / √x = 10.
   Then √x= 250 / 10 = 25
   ∴ x = 625

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27. Find the cube root of 19683.

1. 1. 25

   
   
   

   2. 26

   
   
   

   3. 28

   
   
   

   4. 27

   
   
   

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1. View Hint View Answer Discuss in Forum

   In 19683, 19 lies between 2³ and 3³, so left digit is 2 and 683 ends with 3, so right digit is 7.

   Correct Option: D

   In 19683, 19 lies between 2³ and 3³, so left digit is 2 and 683 ends with 3, so right digit is 7.
   thus 27 is a cube root of 19683.

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28. √4/3 - √3/4 = ?

1. 1. 1/2√3

   
   
   

   2. - 1/2√3

   
   
   

   3. 1

   
   
   

   4. 2√3

   
   
   

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1. View Hint View Answer Discuss in Forum

   √4/√3 - √3/√4
   = 2/√3 - √3/2
   = (4 - 3)/2√3
   = 1/2√3
   

   Correct Option: A

   √4/√3 - √3/√4
   = 2/√3 - √3/2
   = (4 - 3)/2√3
   = 1/2√3
   

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29. If √2 = 1.4142, then the approximate value of 1/√2/9 is ?

1. 1. 0.2321

   
   
   

   2. 0.4714

   
   
   

   3. 0.3174

   
   
   

   4. 0.4174

   
   
   

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1. View Hint View Answer Discuss in Forum

   √2/9
   = √2/√9
   = √2/3
   = 1.4142/3

   Correct Option: B

   √2/9
   = √2/√9
   = √2/3
   = 1.4142/3
   
   ∴ 1/√2/9 = 0.4714

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30. If √3 = 1.732, then the approximate value of 1/√3 is ?

1. 1. 0.617

   
   
   

   2. 0.313

   
   
   

   3. 0.577

   
   
   

   4. 0.173

   
   
   

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1. View Hint View Answer Discuss in Forum

   1/√3 = 1/√3 x (√3 / √3)
   = √3/3
   = 1.732 / 3

   Correct Option: C

   1/√3 = 1/√3 x (√3 / √3)
   = √3/3
   = 1.732 / 3
   = 0.577

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