411. The sum of two number is 10 Their product is 20. Find the sum of the reciprocals of the two numbers.

1. 1. 1

   
   
   

   2. 3/5

   
   
   

   3. 1/2

   
   
   

   4. 11/6

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the number be a and b Then
   a + b = 10 ..........(i)
   ab = 20 ........(ii)
   
   Sum of reciprocal = 1/a + 1/b
   = (a + b) / ab

   Correct Option: C

   Let the number be a and b Then
   a + b = 10 ..........(i)
   ab = 20 ........(ii)
   
   Sum of reciprocal = 1/a + 1/b
   = (a + b) / ab
   = 10/20
   = 1/2

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412. A chocolate has 12 equal to pieces Manju gave 1/4^th of it to anju 1/3^th of it to raj and 1/6^th of to fiza The number of pieces of chocolate left with manju is

1. 1. 1

   
   
   

   2. 2

   
   
   

   3. 3

   
   
   

   4. 4

   
   
   

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1. View Hint View Answer Discuss in Forum

   The number of pieces of chocolate left with manju =1- [(1/4) + (1/3) + (1/6)]

   Correct Option: C

   the number of pieces of chocolate left with manju =1- [(1/4) + (1/3) + (1/6)]
   = 1 - [ (3 + 4 + 2)/12)
   = 1 - (9/12)
   = 3/12
   Hence number of piece of chocolate left with in manju is 3

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413. Which of the following fraction is the smallest?
     

     7	,	7	,	4	,	5
     6		9		5		7

     
     

1. 1. 7

      6

   
   
   

   2. 7

      9

   
   
   

   3. 4

      5

   
   
   

   4. 5

      7

   
   
   

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1. View Hint View Answer Discuss in Forum

   7	= 1.166;	7	= 0.777
   6		9

   
   

   4	= 0.8 and	5	= 0.714
   5		7

   
   

   Correct Option: D

   7	= 1.166;	7	= 0.777
   6		9

   
   

   4	= 0.8 and	5	= 0.714
   5		7

   
   Therefore, the smallest number is
   

   5

   7

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414. The smallest possible three-place decimal number is :
     

1. 1. 0.012
      

   
   
   

   2. 0.123
      

   
   
   

   3. 0.111
      

   
   
   

   4. None of the above

   
   
   

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1. View Hint View Answer Discuss in Forum

   The smallest possible three-place decimal number = 0.001

   Correct Option: D

   The smallest possible three-place decimal number = 0.001

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415. Which of the following is the largest fraction ?
     

     6	,	5	,	7	,	4
     7		6		8		5

1. 1. 6

      7

   
   
   

   2. 4

      5

   
   
   

   3. 5

      6

   
   
   

   4. 7

      8

   
   
   

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1. View Hint View Answer Discuss in Forum

   The decimal equivalents of :
   

   6	= 0.857,	5	= 0.833
   7		6

   
   

   7	= 0.875,	4	= 0.8
   8		5

   
   

   Correct Option: D

   The decimal equivalents of :
   

   6	= 0.857,	5	= 0.833
   7		6

   
   

   7	= 0.875,	4	= 0.8
   8		5

   
   Obviously, 0.875 is the greatest.
   

   ∴	7	is the largest fraction.
   	8

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