321. Simplify :
     

1. 1. 2

      3

   
   
   

   2. 37	1
      	2

   
   
   

   3. 3

      2

   
   
   

   4. 18	3
      	8

   
   
   

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1. View Hint View Answer Discuss in Forum

   
   

   = 3 ÷	4		7		of		5	× 6
   	7		10				6

   
   

   = 3 ÷		4	×	7	× 5		= 3 ÷ 2 =	3
   		7		10				2

   Correct Option: C

   
   

   = 3 ÷	4		7		of		5	× 6
   	7		10				6

   
   

   = 3 ÷		4	×	7	× 5		= 3 ÷ 2 =	3
   		7		10				2

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322. Simplify :
     (0.1)²{1 − 9(0.16)²}

1. 1. −	1
      	162

   
   
   

   2. 1

      108

   
   
   

   3. 7696

      106

   
   
   

   4. 1

      109

   
   
   

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1. View Hint View Answer Discuss in Forum

   
   

   =	1	×	3	=	1
   	81		4		108

   Correct Option: B

   
   

   =	1	×	3	=	1
   	81		4		108

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323. The value of
     

     0.9 × 0.9 × 0.9 + 0.2 × 0.2 × 0.2 + 0.3 × 0.3 × 0.3 − 3 × 0.9 × 0.2 ×0.3	is
     0.9 × 0.9 + 0.2 × 0.2 + 0.3 × 0.3 − 0.9 × 0.2 − 0.2 × 0.3 − 0.3 × 0.9

1. 1. 1.4

   
   
   

   2. 0.054

   
   
   

   3. 0.8

   
   
   

   4. 1.0

   
   
   

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1. View Hint View Answer Discuss in Forum

   Using (x) of Basic Formulae
   Let 0.9 = x, 0.2 = y and 0.3 = z
   Then, the given expression
   

   x × x × x + y × y × y + z × z × z − 3 × x × y × z

   x × x + y × y + z × z − x × y − y × z − z × x

   
   

   =	x3 + y3 + z3 − 3xyz
   	x2 + y2 + z2 − xy − yz − zx

   
   

   =	(x + y + z)(x2 + y2 + z2 − xy − yz − zx)
   	x2 + y2 + z2 − xy − yz − zx

   
   = x + y + z
   = 0.9 + 0.2 + 0.3 = 1.4

   Correct Option: A

   Using (x) of Basic Formulae
   Let 0.9 = x, 0.2 = y and 0.3 = z
   Then, the given expression
   

   x × x × x + y × y × y + z × z × z − 3 × x × y × z

   x × x + y × y + z × z − x × y − y × z − z × x

   
   

   =	x3 + y3 + z3 − 3xyz
   	x2 + y2 + z2 − xy − yz − zx

   
   

   =	(x + y + z)(x2 + y2 + z2 − xy − yz − zx)
   	x2 + y2 + z2 − xy − yz − zx

   
   = x + y + z
   = 0.9 + 0.2 + 0.3 = 1.4

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324. The simplification of
     3.36 − 2.05 + 1.33 equals :

1. 1. 2.60

   
   
   

   2. 2.61

   
   
   

   3. 2.64

   
   
   

   4. 2.64

   
   
   

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1. View Hint View Answer Discuss in Forum

   3.36 − 2.05 + 1.33
   

   = 3	36	− 2	05	+ 1	33
   	99		99		99

   
   

   = 3 +	36	− 2 −	5	+ 1 +	33
   	99		99		99

   
   

   = (3 − 2 + 1) +		36	−	5	+	33
   		99		99		99

   
   

   = 2 +		36 − 5 + 33
   		99

   
   

   = 2 +	64	= 2	64	= 2.64
   	99		99

   Correct Option: D

   3.36 − 2.05 + 1.33
   

   = 3	36	− 2	05	+ 1	33
   	99		99		99

   
   

   = 3 +	36	− 2 −	5	+ 1 +	33
   	99		99		99

   
   

   = (3 − 2 + 1) +		36	−	5	+	33
   		99		99		99

   
   

   = 2 +		36 − 5 + 33
   		99

   
   

   = 2 +	64	= 2	64	= 2.64
   	99		99

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325. Simplify :
     

1. 1. 56

      77

   
   
   

   2. 49

      80

   
   
   

   3. 2

      3

   
   
   

   4. 3	2
      	9

   
   
   

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1. View Hint View Answer Discuss in Forum

   
   

   =		11	×	6		÷	7	×	7	+	5	÷		3	×	3
   		4		11			8		12		7			4		7

   
   

   =	3	÷	7	×	7	+	5	÷	9
   	2		8		12		7		28

   
   

   =	3	×	8	×	7	+	5	×	28
   	2		7		12		7		9

   
   

   = 1 +	20	=	9 + 20	=	29	= 3	2
   	9		9		9		9

   Correct Option: D

   
   

   =		11	×	6		÷	7	×	7	+	5	÷		3	×	3
   		4		11			8		12		7			4		7

   
   

   =	3	÷	7	×	7	+	5	÷	9
   	2		8		12		7		28

   
   

   =	3	×	8	×	7	+	5	×	28
   	2		7		12		7		9

   
   

   = 1 +	20	=	9 + 20	=	29	= 3	2
   	9		9		9		9

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