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SPSC MATHEMATICS 25 YEARS PAST PAPERS

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چار آپشن میں سے کسی ایک پر کلک کرنے سے جواب سرخ ہو جائے گا۔
A total of x feet of fencing is to form three sides of a level rectangular yard. What is the maximum possible area of the yards in terms of x?
  1. x²/4
  2. x²/6
  3. x²/8
  4. None of these
(0)
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The sum of all the Coefficient of (a - b)¹⁰ is?
  1. 0
  2. 1
  3. 2
  4. None of these
(0)
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What is the equation of the tangent line to the curve y = x³ - 3x² + 4x at the curve's inflection point?
  1. y = x + 1
  2. y = x + 2
  3. y = x + 3
  4. None of these
(0)
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If f(t) = e^at, its Laplace Transform (for s > a) is given by?
  1. 1/(s - a)
  2. (s - a)/1
  3. 1(s - a)
  4. None of these
(0)
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The probability that A passes test is 2/3 and probability that B passes the same test is 3/5. The probability that only one of them passes is?
  1. 7/15
  2. 5/7
  3. 3/9
  4. None of these
(0)
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If u = x² + y², then ∂²u/∂x∂y is equal to?
  1. 0
  2. 1
  3. 2
  4. None of these
(0)
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If θ is the angle between the vector Ā and B̄ such that |Ā × B̄| = |Ā . B̄|, then θ is?
  1. 45°
  2. 60°
  3. 90°
  4. None of these
(0)
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If 3x1 + 2x2 + x3 = 0, 2x1 + x2 + 4x3 = 0, x1 + 4x2 + x3 = 0 be a system of equations, then?
  1. It is only the trivial solution x1 = 0, x2 = 0, x3 = 0
  2. It is consistent
  3. Determinant of the matrix of coefficients is zero
  4. None of these
(0)
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Which of the following circles has the greatest number of points if intersection with the Parabola x² = y + 4?
  1. x² + y² = 16
  2. x² + y² = 9
  3. x² + y² = 2
  4. None of these
(0)
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If a polynomial f(x) over the real number has the Complex roots (2+i) and (1-i), the f(x) could be?
  1. x⁴ - 6x³ + 15x² - 18x + 10
  2. x⁴ + 6x² + 10
  3. x⁴ - 7x² + 10
  4. None of these
(0)
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