Page 5 - Advance Math
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Advance Math                                                    Algebra

1. If 250√                √ [√                            =( )

          √ ],                     -, then the value            ()

          of ( √          ) is:                       3.  =6
          अगय 250√            √
                                      [√                  If a³ + b³ = 110 and a + b = 5, then (a +

                                                          b)² – 3ab is equal to:

          √ ],                     - है तत ,              मदद a³ + b³ = 110 औय a + b = 5 है, तत (a

          ( √ ) का भान हतगा:                              + b)² –3ab का भान है:

          SSC CHSL 3 July 2019 IInd Shift                 SSC CHSL 3 July 2019 IIIrd Shift

          (A) 10                      (B) 5               (A) 52                      (B) 32

          (C) √                       (D) √               (C) 42                      (D) 22
          Answer: (B)
                                                          Answer: (D)

          250√          √ [√                              a² + b³ = [a + b] [a² + b² – ab]

          √ ],                     -                      110 = 5 [a² + b² – ab]

                                                          a² + b² – ab = 22

         0 (√ ) ( √ ) 1                                   [a + b]² – 3ab = 22.

            [ √ √ ],                          -       4.  If x² + 1 = 3x, then the value of (x4+x–
        , - , -,                            -
      [ √ √ ][                        √]                  2)8/(x²+5x +1) is:
                                             -
          [ √ √ ],                                        मदद x² + 1 = 3x है, तत (x4+x–2)(x²+5x
         [ √]
                                                          +1) का भान है:
            ,-
                                                          SSC CHSL 3 July 2019 IIIrd Shift

                                                          (A) 2 1/3                   (B) 214

                             √                            (C) 4 /12                   (D) 3 /12

          A.T.Q                                           Answer: (B)

          =A+C √                                          x2 +1=3x

          = 50 + 5 - 5 √        √                         x+1/x=3
          =5
                                                          Cubing both sides, we get

2. If x ≠ – 1, 2 and 5, then the simplified               x3 +

          value of                                        x3 +

          2( )                                 3 is       Now,

          equal to :                                      ()

          मदद x ≠ – 1, 2 औय 5 है, तफ                      =

                     (    )
                8
                                                          =

                                               9      5.  If 40√        √ (√ √ )
                                                                            ) , then what is the
          का सयरीकृ त भान फयाफय है:                       (                         ?
          SSC CHSL 3 July 2019 IInd Shift                 value of √
                                                          मदद40√         √ (√ √ )
          (A) 1/6                     (B) 6
                                                          (                   ) तत √             का
          (C) 3/2                     (D) 2/3

          Answer: (B)                                     भान क्मा है?

         ()                                               SSC CHSL 3 July 2019 IIIrd Shift
      45
                                                          (A) 11                      (B) 7

= . ( ( )(            )(       )     ( )/                 (C) 8                       (D) 9
                )(        )
=. ((     )(                         ( )/                 Answer: (B)
            )(        )(       )   ( ) )/
                 )( )(     )                              40√         √                          -
=  .  (   )(                                              =[ √       √],
       (   )(         )(       )
                )( )(     )(

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