286. The value of	√	(6.1)2 + (61.1)2 + (611.1)2	is :
     		(0.61)2 + (6.11)2 + (61.11)2

1. 1. 0.1

   
   
   

   2. 1.1

   
   
   

   3. 10

   
   
   

   4. 100

   
   
   

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1. View Hint View Answer Discuss in Forum

   √	(6.1)2 + (61.1)2 + (611.1)2
   	(0.61)2 + (6.11)2 + (61.11)2

   
   

   √	(10 × 0.61)2 + (10 × 6.11)2 + (10 × 61.11)2
   	(0.61)2 + (6.11)2 + (61.11)2

   
   = √100 = 10

   Correct Option: C

   √	(6.1)2 + (61.1)2 + (611.1)2
   	(0.61)2 + (6.11)2 + (61.11)2

   
   

   √	(10 × 0.61)2 + (10 × 6.11)2 + (10 × 61.11)2
   	(0.61)2 + (6.11)2 + (61.11)2

   
   = √100 = 10

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287. The sum of √0.01 + √0.81 + √1.21 + √0.0009 is :

1. 1. 2.1

   
   
   

   2. 2.13

   
   
   

   3. 2.03

   
   
   

   4. 2.11

   
   
   

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1. View Hint View Answer Discuss in Forum

   √0.01 + √0.81 + √1.21 + √0.0009
   = 0.1 + 0.9 + 1.1 + 0.03
   = 2.13

   Correct Option: B

   √0.01 + √0.81 + √1.21 + √0.0009
   = 0.1 + 0.9 + 1.1 + 0.03
   = 2.13

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288. The value of	√	(0.3)2 + (0.21)2 + (0.065)2	is :
     		(0.003)2 + (0.021)2 + (0.0065)2

1. 1. 0.1

   
   
   

   2. 10

   
   
   

   3. 10²

   
   
   

   4. 10³

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let 0.03 = x ⇒ 0.003 =	x
   	10

   
   

   0.21 = y ⇒ 0.021 =	y
   	10

   
   

   and 0.065 = z ⇒ 0.0065 =	z
   	10

   
   
   = √100 = 10

   Correct Option: B

   Let 0.03 = x ⇒ 0.003 =	x
   	10

   
   

   0.21 = y ⇒ 0.021 =	y
   	10

   
   

   and 0.065 = z ⇒ 0.0065 =	z
   	10

   
   
   = √100 = 10

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289. The value of	√	(0.1)2 + (0.01)2 + (0.009)2	is :
     		(0.01)2 + (0.001)2 + (0.0009)2

1. 1. 10²

   
   
   

   2. 10

   
   
   

   3. 0.1

   
   
   

   4. 0.01

   
   
   

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1. View Hint View Answer Discuss in Forum

   √	(0.1)2 + (0.01)2 + (0.009)2
   	(0.01)2 + (0.001)2 + (0.0009)2

   
   

   √	0.01 + 0.0001 + 0.000081
   	0.0001 + 0.000001 + 0.00000081

   
   

   √	0.0010181
   	0.00010181

   
   = √100 = 10

   Correct Option: B

   √	(0.1)2 + (0.01)2 + (0.009)2
   	(0.01)2 + (0.001)2 + (0.0009)2

   
   

   √	0.01 + 0.0001 + 0.000081
   	0.0001 + 0.000001 + 0.00000081

   
   

   √	0.0010181
   	0.00010181

   
   = √100 = 10

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290. The value of	√80 −√112	is:
     	√45 −√63

1. 1. 3

      4

   
   
   

   2. 1	3
      	4

   
   
   

   3. 1	1
      	3

   
   
   

   4. 1	7
      	9

   
   
   

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1. View Hint View Answer Discuss in Forum

   √80 −√112

   √45 −√63

   
   

   =	√16 × 5 −√16 × 7
   	√9 × 5 −√9 × 7

   
   

   =	4√5 − 4√7	=	4(√5 − √7)
   	3√5 − 3√7		3(√5 − √7)

   
   

   =	4	= 1	1
   	3		3

   Correct Option: C

   √80 −√112

   √45 −√63

   
   

   =	√16 × 5 −√16 × 7
   	√9 × 5 −√9 × 7

   
   

   =	4√5 − 4√7	=	4(√5 − √7)
   	3√5 − 3√7		3(√5 − √7)

   
   

   =	4	= 1	1
   	3		3

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