46. If a/b = 1/3, then (3a + 2b) / (3a - 2b) is equal to ?

1. 1. 3

   
   
   

   2. -3

   
   
   

   3. -5

   
   
   

   4. -1

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given expression = (3a + 2b) / (3a - 2b)
   = [3(a/b) + 2] / [3(a/b) - 2]
   = [3 x 1/3 + 2] / [3 x 1/3 - 2]

   Correct Option: B

   Given expression = (3a + 2b) / (3a - 2b)
   = [3(a/b) + 2] / [3(a/b) - 2]
   = [3 x 1/3 + 2] / [3 x 1/3 - 2]
   = 3 / -1
   =-3

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47. [137 x 137 + 137 x 133 + 133 x 133] / [137 x 137 x 137 - 133 x 133 x 133] = ?

1. 1. 4

   
   
   

   2. 270

   
   
   

   3. 1/4

   
   
   

   4. 1/270

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given exp. = [ a² + ab + b² ] / [a³ - b³] where a = 137, b = 133
   = 1/(a - b)

   Correct Option: C

   Given exp. = [ a² + ab + b² ] / [a³ - b³] where a = 137, b = 133
   = 1/(a - b)
   = 1/(137- 133)
   =1/4

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48. How many 1/8's are there in 37¹/₂ ?

1. 1. 300

   
   
   

   2. 400

   
   
   

   3. 500

   
   
   

   4. Cannot be determined

   
   
   

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1. View Hint View Answer Discuss in Forum

   Number of 1/8 s = (75/2) / (1/8) = (75/2) x 8 = 300

   Correct Option: A

   Number of 1/8 s = (75/2) / (1/8) = (75/2) x 8 = 300

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49. 3/48 is what part of 1/12 ?

1. 1. 3/7

   
   
   

   2. 1/12

   
   
   

   3. 4/3

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let N of 1/12 = 3/48.
   Then, N = 3/48 x 12 = 3/4

   Correct Option: D

   Let N of 1/12 = 3/48.
   Then, N = 3/48 x 12 = 3/4
   

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50. A boy was asked to multiply a given number by (8/17). Instead he divided the given number by (8/17) and got the result 225 more then what he should have got if he had multiplied the number by ( 8/17). The given number was ?

1. 1. 8

   
   
   

   2. 17

   
   
   

   3. 64

   
   
   

   4. 136

   
   
   

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1. View Hint View Answer Discuss in Forum

   ∵ N x 17/8 - N x 8/17 =225
   ⇒ 225 x N / 136 = 225

   Correct Option: D

   ∵ N x 17/8 - N x 8/17 =225
   ⇒ 225 x N / 136 = 225
   ∴ N = (225 x 136) / 225 = 136

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