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  • Question

  • The simplified form of log(75/16) -2 log(5/9) +log(32/343) is?


  • Options
  • A. log 2
  • B. 2 log 2
  • C. log 3
  • D. log 5

  • Correct Answer
  • log 2 

    Explanation

    Given Exp. = log75/16 - 2 log5/9 + log32/343
    = log [(25 x 3) / (4 x 4)] - log (25/81) + log [(16 x 2) / (81 x 3)]
    = log(25 x 3) - log ( 4 x 4 ) - log(25) + log81 + log(16 x 2) -log (81 x 3)
    = log 25 + log 3 - log 16 - log 25 + log 81 + log 16 + log 2 - log 81 - log 3
    = log 2

    • More questions

    • 1. 
      Shankara buys a watch for Rs. 1,950 in cash and sells it for Rs. 2,200 at a credit of 1 year. If the rate of interest is 10% per annum, he _____ :

    • Options
    • A. gains Rs. 55
    • B. gains Rs. 50
    • C. loses Rs. 30
    • D. gains Rs. 30
      • Discuss
    • 2. 
      ABCD is a rhombus with ? ABC = 56°, then ? ACD is equal to :

    • Options
    • A. 90°
    • B. 60°
    • C. 56°
    • D. 62°
      • Discuss
    • 3. 
      The shaded region represents

    • Options
    • A. y ? x
    • B. y ? ? x
    • C. y ? x
    • D. y ? ? x
      • Discuss
    • 4. 
      45 x? = 25% of 900

    • Options
    • A. 16.20
    • B. 4
    • C. 5
    • D. 500
      • Discuss
    • 5. 
      Rajan sold an articles for ? 6000 at a loss of 25%. Find the cost price.?

    • Options
    • A. ? 7500
    • B. ? 7200
    • C. ? 8000
    • D. ? 8500
      • Discuss
    • 6. 
      In which of the following cases, A = B?

    • Options
    • A. A = {12, 14, 16}, B = {16, 18, 20}
    • B. A = ?, b = {}
    • C. A = {x: x ? W and x < 1}, B = ?
    • D. A = {x: x is a day of the week beginning with S}, B = {Sunday}
      • Discuss
    • 7. 10, 25, 45, 54, 60, 75, 80

    • Options
    • A. 10
    • B. 45
    • C. 54
    • D. 75
      • Discuss
    • 8. 
      If two parallel lines are intersected by a transversal, then the bisectors of the two pairs of interior angles enclose a:

    • Options
    • A. Trapezium
    • B. Rectangle
    • C. Square
    • D. circle
      • Discuss
    • 9. 
      ?. 6x 2 + 77x + 121 = 0
      ?. y 2 + 9y ? 22 = 0

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
      • Discuss
    • 10. 
      The length of minute hand of a wall clock is 7 cms. The area swept by minute hand in 30 minutes is?

    • Options
    • A. 147 sq. cm
    • B. 210 sq. cm
    • C. 154 sq. cm
    • D. 77 sq. cm
      • Discuss

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