SPSC Lecture Mathematics Past Paper

If a line makes angles α, β, γ with coordinate axes, Find the value of sin^2 α + sin^2 β + sin^2 γ?
  1. 4
  2. 2
  3. 3
  4. 1
The Fourier series expansion of an even period function contains?
  1. Cosine terms
  2. Sine terms
  3. Odd Hormonics
  4. Even Hormonics
Which of the following is the greatest 3-digit prime?
  1. 96
  2. 97
  3. 98
  4. 99
(1 + i)^10 = ____?
  1. 1
  2. 32i
  3. 32
  4. i
Consider the point A(-1,2), B(6,2) and C(1,-20) in the plane. For how many different points D in the plane are A, B, C and D the vertices of Parallelogram?
  1. One
  2. Two
  3. Three
  4. Four
The package arrived ____ the expected delivery date.
  1. On
  2. In
  3. At
  4. Before
What type of word is "because" in the sentence: "She went to the store because she needed groceries"?
  1. Verb
  2. Adjective
  3. Conjunction
  4. Adverb
What will be the condition for L-Hospital's Rule to work?
  1. The function must possess at least three non-zero derivatives
  2. The function must be determinate
  3. The function must be indeterminate
  4. The function must be inconsistent
Which is the synonym of "Admonish"?
  1. Defeat
  2. Defend
  3. Destroy
  4. Counsel
Change the capital letters word without changing the meaning: He enjoys VICARIOUS authority?
  1. Tenuous
  2. Limited
  3. Delegated
  4. Wide
At the time of its establishment, Pakistan became the_____of Muslim States.
  1. Great
  2. Greater
  3. Greatest
  4. Greatly

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