246. Which of the following fractions does not lie between
     

     5	and	8	?
     6		15

1. 1. 2

      3

      
      

   
   
   

   2. 3

      4

      
      

   
   
   

   3. 4

      5

   
   
   

   4. 6

      7

   
   
   

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1. View Hint View Answer Discuss in Forum

   5	= 0.83
   6

   
   

   8	= 0.53
   15

   
   

   6	= 0.86
   7

   
   Clearly, 0.53 < 0.83 < 0.86

   Correct Option: D

   5	= 0.83
   6

   
   

   8	= 0.53
   15

   
   

   6	= 0.86
   7

   
   Clearly, 0.53 < 0.83 < 0.86

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247. The smallest fraction, which should be added to the sum of
     

     2	1	, 3	1	, 4	1	, and 5	1
     	2		3		4		5

     
     to make the result a whole number, is

1. 1. 13

      60

   
   
   

   2. 1

      4

   
   
   

   3. 17

      60

   
   
   

   4. 43

      60

   
   
   

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1. View Hint View Answer Discuss in Forum

   2	1	+ 3	1	+ 4	1	+ 5	1
   	2		3		4		5

   
   

   = (2 + 3 + 4 + 5) +		1	+	1	+	1	+	1
   		2		3		4		5

   
   

   = 14 +		30 + 20 + 15 + 12
   		60

   
   

   = 14 +	77	= 14 + 1	17
   	60		60

   
   

   = 15	77
   	60

   
   

   ∴  Required answer = 1 –	77	=	60 − 17	=	43
   	60		60		60

   Correct Option: D

   2	1	+ 3	1	+ 4	1	+ 5	1
   	2		3		4		5

   
   

   = (2 + 3 + 4 + 5) +		1	+	1	+	1	+	1
   		2		3		4		5

   
   

   = 14 +		30 + 20 + 15 + 12
   		60

   
   

   = 14 +	77	= 14 + 1	17
   	60		60

   
   

   = 15	77
   	60

   
   

   ∴  Required answer = 1 –	77	=	60 − 17	=	43
   	60		60		60

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248. The vulgar fraction of 0.3939 is :
     

1. 1. 15

      33

   
   
   

   2. 11

      39

      
      

   
   
   

   3. 17

      39

   
   
   

   4. 13

      33

   
   
   

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1. View Hint View Answer Discuss in Forum

   0.3939 = 0.39
   

   =	39	=	13
   	99		33

   Correct Option: D

   0.3939 = 0.39
   

   =	39	=	13
   	99		33

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249. If 3/4 of a number is 7 more than 1/6 of the number, then 5/3 of the number is :

1. 1. 12

   
   
   

   2. 20

   
   
   

   3. 15

   
   
   

   4. 18

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the number be x.
   According to the question,
   

   3x	−	x	= 7
   4		6

   
   

   ⇒	9x − 2x	= 7
   	12

   
   ⇒  7x = 12 × 7
   

   ⇒  x =	12 × 7	= 12
   	12

   
   

   ∴	5x	=	5	× 12 = 20
   	3		3

   Correct Option: B

   Let the number be x.
   According to the question,
   

   3x	−	x	= 7
   4		6

   
   

   ⇒	9x − 2x	= 7
   	12

   
   ⇒  7x = 12 × 7
   

   ⇒  x =	12 × 7	= 12
   	12

   
   

   ∴	5x	=	5	× 12 = 20
   	3		3

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250. If the sum of two numbers, one of which is 2/5 times the other, is 50, then the numbers are

1. 1. 115	and	235
      7		7

   
   
   

   2. 150	and	200
      7		7

   
   
   

   3. 240	and	110
      7		7

   
   
   

   4. 250	and	100
      7		7

   
   
   

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1. View Hint View Answer Discuss in Forum

   First number = x (let)
   

   ∴  Second number =	2x
   	5

   
   

   ∴  x +	2x	= 50
   	5

   
   

   ⇒	5x + 2x	= 50
   	5

   
   ⇒  5x + 2x = 50 × 5
   ⇒  7x = 250
   

   ⇒  x =	250
   	7

   
   

   ∴  Second number =	2	×	250	=	100
   	5		7		7

   
   

   Correct Option: D

   First number = x (let)
   

   ∴  Second number =	2x
   	5

   
   

   ∴  x +	2x	= 50
   	5

   
   

   ⇒	5x + 2x	= 50
   	5

   
   ⇒  5x + 2x = 50 × 5
   ⇒  7x = 250
   

   ⇒  x =	250
   	7

   
   

   ∴  Second number =	2	×	250	=	100
   	5		7		7

   
   

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