Mathematics Questions and Answers

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Q91
If x + 1/x = 99, then the va1ue of l00x/(3x2+103x+3) is
  • A 3/4
  • B 1/4
  • C 5/4
  • D 7/4
Answer: Option B
Q92
If x = ay, = bx then the value of (1/a+1) + (1/b+1) is
  • A —1
  • B 2
  • C 0
  • D 1
Answer: Option D
Q93
If (x+ 1) is a factor of x3+11x2+ 15x+a then the value of ‘a’ is
  • A 2
  • B 3
  • C 5
  • D 4
Answer: Option C
Q94
The HCF and LCM of two algebraic expressions respectively are (x - 1) and (x2 1) (x- 1). If one of the expression is (x2- 1) then the other is
  • A x2+ 1
  • B (x + 1)2
  • C (x – 1)2
  • D x3 – 1
Answer: Option C
Q95
If (a – x)/(b – x)= a2/b2 then the value of x is
  • A b/(a + b)
  • B a/(a – b)
  • C ab/(a + b)
  • D a/(a + b)
Answer: Option C
Q96
The value of 0.9 x 0.9 x 0.9 + 0.1 x 0.1 x 0.1/ 0.9 x 0.9 -0.9 x 0.1 + 0.1 x 0.1 on simplification is
  • A 0
  • B —1
  • C 2
  • D 1
Answer: Option D
Q97
If x2 + y2 + 2x + 1 = 0, and x = -1, then the value of x2 + y2 is
  • A 2
  • B 1
  • C -1
  • D 0
Answer: Option B
Q98
If a2 + b2 + c2 – ab – bc – ca = 0, then the value of a: b: c is
  • A 1:1:1
  • B 1:2:3
  • C 1:3:4
  • D 1:4:1
Answer: Option A
Q99
If x+ y =5; x2+y2=l3 then the value of x3 + y3 is
  • A 34
  • B 36
  • C 35
  • D 37
Answer: Option C
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