Scholastic Aptitude Test - Mathematics - Algebra

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Question - 1

The value of  \(\frac{\sqrt{24} + \sqrt{216}}{\sqrt{96}}\) =

  • A \(6 \sqrt{2}\)
  • B 2
  • C \(2 \sqrt{6}\)
  • D \(\frac{2}{\sqrt 6}\)

Question - 2

If  \(\sqrt {1+ \frac{x}{169}}=\frac{14}{13}\) , then x is equal to 

  • A 5
  • B 3
  • C 27
  • D 13

Question - 3

If \(\sqrt{3^n}\) =729, then value of n is

  • A 6
  • B 10
  • C 8
  • D 12

Question - 4

If 3a = 4b = 6c and a+b+c = 27\(\sqrt{29}\) then​​​​​​​ \(\sqrt{a^2+b^2+c^2}\)

  • A 81
  • B 87
  • C \(3\sqrt{29}\)
  • D none of these

Question - 5

If  2 x 3 = \(\sqrt{13}\) and 3 x 4= 5, then the value of 5 x 12 is

  • A 12
  • B 13
  • C \(\sqrt{29}\)
  • D \(\sqrt{17}\)

Question - 6

If y=5, then what is the value of 10y \(\sqrt{y^1-y^2}\) ?

  • A 100
  • B 500
  • C \(200\sqrt5\)
  • D \(50\sqrt2\)

Question - 7

If x*y = x+y+ \(\sqrt{xy}\) the value of 6*24 is

  • A 43
  • B 42
  • C 41
  • D 44

Question - 8

If x = (7 - 4 \(\sqrt3\)) then the value of (x+\(\frac{1}{x}\)) is

  • A \(8 \sqrt3\)
  • B 14
  • C \(3\sqrt3\)
  • D 14 + \(8 \sqrt3\)

Question - 9

If a-b=3 and a2+b2=29. then the value of ab

  • A 15
  • B 12
  • C 10
  • D 18

Question - 10

If a+b+c = 13, a2+b2+c2=69, then find ab+bc+ca

  • A 50
  • B 69
  • C -50
  • D 75
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