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