• ( 1 ) The √ 64009 is:

    • 1) 253
    • 2) 347
    • 3) 363
    • 4) 803
    • Discussion in forum
      Answer : 1) 253
      Solution :
        2|64009( 253
          |4
          |----------
        45|240
          |225
          |----------
      503| 1509
          | 1509
          |----------
          |  X
          |----------
      √ 64009 = 253.








      discussion


      Answer : 1) 253

    • ( 2 ) If √ 3 = 1.732, then value of √ (3/4) is :

    • 1) 0.577
    • 2) 0.866
    • 3) 0.433
    • 4) 0.477
    • Discussion in forum
      Answer : 2) 0.866
      Solution : √(3/4) = √ 3/2 = 1/732/2 = .866








      discussion


      Answer : 2) 0.866

    • ( 3 ) √ (.00059049) = ?

    • 1) 0.243
    • 2) 0.0243
    • 3) 0.00243
    • 4) 0.000243
    • Discussion in forum
      Answer : 2) 0.0243
      Solution : √ 59049 = 243
      => √(.00059049) = √ 59049/√ 108 = 243/10000 = .0243.








      discussion


      Answer : 2) 0.0243

    • ( 4 ) If √ 5 = 2.236, then the value of 1/√ 5 is:

    • 1) 0.367
    • 2) 0.745
    • 3) 0.447
    • 4) 0.423
    • Discussion in forum
      Answer : 3) 0.447
      Solution : 1/√ 5 = (1/√ 5)*(√ 5/√ 5) = √ 5/5 = 2.236/5 = .447








      discussion


      Answer : 3) 0.447

    • ( 5 ) If x/√ 2.25 = 550, then the value of x is:

    • 1) 825
    • 2) 82.5
    • 3) 3666.66
    • 4) 2
    • Discussion in forum
      Answer : 1) 825
      Solution : x/√ 2.25 = 550
      => x/1.5 = 550 or x = 550*1.5
      => x = 550*15/10 = 825.








      discussion


      Answer : 1) 825

    • ( 7 ) The value of √ 2 upto three places of decimal is:

    • 1) 1.41
    • 2) 1.412
    • 3) 1.413
    • 4) 1.414
    • Discussion in forum
      Answer : 4) 1.414
      Solution :
         1|2.00 00 00( 1.414
         |1
         |----------
        24|100
         | 96
         |----------
        281| 400
         | 281
         |----------
      2824| 11900
         |----------
      √ 2 = 1.414.








      discussion


      Answer : 4) 1.414

    • ( 8 ) (2√ 27 - √ 75 + √ 12 )is equal to:

    • 1) √ 3
    • 2) 2√ 3
    • 3) 3√ 3
    • 4) 4√ 3
    • Discussion in forum
      Answer : 3) 3√ 3
      Solution : (2√ 27 - √ 75 + √ 12 ) = 2√ (9*3) - √ (25*3) + √ (4*3) = 6√ 3 - 5√ 3 + 2√ 3 = 3√ 3.








      discussion


      Answer : 3) 3√ 3

    • ( 9 ) By what least number 675 be multiplied to obtain a number which is a perfect cube?

    • 1) 5
    • 2) 6
    • 3) 7
    • 4) 8
    • Discussion in forum
      Answer : 1) 5
      Solution : 675 = 5 * 5 * 3 * 3 * 3. To make it a perfect cube it must be multiplied by 5.








      discussion


      Answer : 1) 5

    • ( 10 ) The square root of (7 + 2√ 10)is:

    • 1) √ 5 + √ 2
    • 2) √ 3 + √ 4
    • 3) √ 6 + 1
    • 4) 2 + √ 5
    • Discussion in forum
      Answer : 1) √ 5 + √ 2
      Solution : Choosw two numbers a & b s.t. a2 + b2 = 7 & ab = √ 10.
      clearly , such numbers are √ 5 & √ 2.
      (7 + 2√ 10) = (√ 5)2 + (√ 2)2 + 2√ 5 * √ 2 = (√ 5 + √ 2)2 = (√ 5 + √ 2)








      discussion


      Answer : 1) √ 5 + √ 2





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