16. 5454 ÷ 54 ÷ 5 = ?

1. 1. 15

   
   
   

   2. 25

   
   
   

   3. 30

   
   
   

   4. 20

   
   
   

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1. View Hint View Answer Discuss in Forum

   ? = 5454 ÷ 54 ÷ 5
   = 5454/(54 x 5)

   Correct Option: D

   ? = 5454 ÷ 54 ÷ 5
   = 5454/(54 x 5) = 5454/270 = 20.2 ≈ 20

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17. 3^7.5/27^1.5 x 9² = 3^?

1. 1. 5

   
   
   

   2. 4.5

   
   
   

   3. 7

   
   
   

   4. 6.50

   
   
   

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1. View Hint View Answer Discuss in Forum

   3 ^7.5 ÷ 27^1.5 x 9² = 3^?
   ⇒ 3^7.5 ÷ (3)^{3 x 15} x 3^{2 x 2} = 3 ^?

   Correct Option: C

   3 ^7.5 ÷ 27^1.5 x 9² = 3^?
   ⇒ 3^7.5 ÷ (3)^{3 x 15} x 3^{2 x 2} = 3 ^?
   ⇒ 3^{7.5 - 4.5 + 4} = 3^? ⇒ 3⁷ = 3^? ⇒ ? = 7
   

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18. 95^3.7 ÷ 95 ^0.9989 = 95^?

1. 1. 1.9

   
   
   

   2. 3

   
   
   

   3. 2.99

   
   
   

   4. 2.7

   
   
   

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1. View Hint View Answer Discuss in Forum

   ? = 95^3.7 ÷ 95^0.9989 = 95^?
   ⇒ 95^{(3.7 - 0.9989)} = 95^?
   ⇒ 95^2.7011 = 95^?

   Correct Option: D

   ? = 95^3.7 ÷ 95^0.9989 = 95^?
   ⇒ 95^{(3.7 - 0.9989)} = 95^?
   ⇒ 95^2.7011 = 95^?
   ∴ ? = 2.7011 ≈ 2.7

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19. [137 ÷ 17 x 3.99]/[4.02 x 3.98] = ?

1. 1. 3.2

   
   
   

   2. 3.5

   
   
   

   3. 2.5

   
   
   

   4. 2

   
   
   

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1. View Hint View Answer Discuss in Forum

   [137 ÷ 17 x 3.99]/[4.02 x 3.98] = ? ≈ (137 ÷ 17 x 4) / (4 x 4)

   Correct Option: D

   [137 ÷ 17 x 3.99]/[4.02 x 3.98] = ? ≈ (137 ÷ 17 x 4) / (4 x 4) ≈ 2

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20. 99.999 ÷ 0.99 ÷ 0.00991234 = ?
    

1. 1. 100

   
   
   

   2. 10000

   
   
   

   3. 1000

   
   
   

   4. 100000

   
   
   

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1. View Hint View Answer Discuss in Forum

   99.999 ÷ 0.99 ÷ 0.00991234 = 100 ÷ 1 ÷ 0.01

   Correct Option: B

   99.999 ÷ 0.99 ÷ 0.00991234
   = 100 ÷ 1 ÷ 0.01 = 10000

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