311. The value of	(3.2)3 − 0.008	is
     	(3.2)2 + 0.64 + 0.04

1. 1. 0

   
   
   

   2. 2.994

   
   
   

   3. 3.208

   
   
   

   4. 3

   
   
   

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   Expression =	(3.2)3 − (0.2)3
   	(3.2)2 + 3.2 × 0.2 + (0.2)2

   
   Let 3.2 = a and 0.2 = b
   

   ∴  Expression =	a3 − b3
   	a2 − ab + b2

   
   

   =	(a − b)(a2 + ab + b2)	= a − b
   	a2 + ab + b2

   
   = 3.2 – 0.2 = 3

   Correct Option: D

   Expression =	(3.2)3 − (0.2)3
   	(3.2)2 + 3.2 × 0.2 + (0.2)2

   
   Let 3.2 = a and 0.2 = b
   

   ∴  Expression =	a3 − b3
   	a2 − ab + b2

   
   

   =	(a − b)(a2 + ab + b2)	= a − b
   	a2 + ab + b2

   
   = 3.2 – 0.2 = 3

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312. Simplify:	0.0347 × 0.0347 × 0.0347 + (0.9653)3
     	(0.0347)2 − (0.0347)(0.09653) + (0.9653)2

1. 1. 0.9306

   
   
   

   2. 1.0009

   
   
   

   3. 1.0050

   
   
   

   4. 1

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let 0.0347 = a
   and, 0.9653 = b
   

   ∴  Expression =	a3 + b3
   	a2 − ab + b2

   
   

   =	(a + b)(a2 − ab + b2)	= a + b
   	a2 − ab + b2

   
   = 0.0347 + 0.9653 = 1

   Correct Option: D

   Let 0.0347 = a
   and, 0.9653 = b
   

   ∴  Expression =	a3 + b3
   	a2 − ab + b2

   
   

   =	(a + b)(a2 − ab + b2)	= a + b
   	a2 − ab + b2

   
   = 0.0347 + 0.9653 = 1

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313. (0.9 × 0.9 × 0.9 + 0.1 × 0.1 × 0.1) is equal to

1. 1. 0.73

   
   
   

   2. 0.82

   
   
   

   3. 0.91

   
   
   

   4. 1.00

   
   
   

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1. View Hint View Answer Discuss in Forum

   (0.9)³ + (0.1)³
   = 0.729 + 0.001 = 0.73

   Correct Option: A

   (0.9)³ + (0.1)³
   = 0.729 + 0.001 = 0.73

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314. (100 − 1)(100 − 2)(100 − 3).......(100 − 200)	is equal to
     100 × 99 × 98 × ....× 3 × 2 × 1

1. 1. 100

      99 × 98 × 97 ×....× 3 × 2 × 1

   
   
   

   2. −	1
      	99 × 98 × 97 ×....× 3 × 2 × 1

   
   
   

   3. 0

   
   
   

   4. −	2
      	99 × 98 × 97 ×....× 3 × 2 × 1

   
   
   

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1. View Hint View Answer Discuss in Forum

   Expression
   

   Expression =	(100 − 1)(100 − 2)(100 − 3).......(100 − 200)
   	100 × 99 × 98 × ....× 3 × 2 × 1

   
   = 0 [∵  100 – 100 = 0]

   Correct Option: C

   Expression
   

   Expression =	(100 − 1)(100 − 2)(100 − 3).......(100 − 200)
   	100 × 99 × 98 × ....× 3 × 2 × 1

   
   = 0 [∵  100 – 100 = 0]

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315. (5 + 5 + 5 + 5) ÷ 5	is equal to :
     3 + 3 + 3 + 3 ÷ 3

1. 1. 1

   
   
   

   2. 3

      10

   
   
   

   3. 4

      9

   
   
   

   4. 2

      5

   
   
   

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1. View Hint View Answer Discuss in Forum

   Expression =	20 ÷ 5	=	4	=	2
   	9 + 3 ÷ 3		10		5

   Correct Option: D

   Expression =	20 ÷ 5	=	4	=	2
   	9 + 3 ÷ 3		10		5

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