1) If a die is rolled twice then what is the probability that the sum of the number of
dots shown is 8?
A. 5/36 (Correct)
B. 4/36
C. 1/12
D. 1/2
2) What is the sine inverse of sin(pi/2)?
A. 1
B. pi/2 radians
C. 90 degrees
D. Both B and C (Correct)
3) What is the derivative of the inverse cosecant function?
A. (-1)/[|x|*sqrt(x^2-1)] (Correct)
B. (-1)/[|x|*sqrt(x^2+1)]
C. 1/[|x|*sqrt(x^2-1)]
D. 1/sqrt(x^2-1)
4) What is the domain of the inverse cosecant function?
A. [-1,1]
B. R
C. R-(-1,1) (Correct)
D. (-1,1)
5) Evaluate: [sin^-1][3/4]+[sin^-1][sqrt(7)/4]
A. [cos^-1](0)
B. [sin^-1](1)
C. [tan^-1](infinity)
D. All of these (Correct)
6) How many hours are there in 360 degrees?
A. 21600
B. 360 (Correct)
C. 60
D. 3.14
7) How many terms are there in the expansion of (1+x)^n; considering that ‘n’ is
positive?
A. n+1 (Correct)
B. n
C. Infinite
D. n-1
, 8) What is the derivative of 2t^3 with respect to 3t^2?
A. 2t^3
B. t (Correct)
C. t^2
D. 1/t
9) 1, 1/3, 1/5, 1/7... is a/an ________ sequence.
A. Fibonnaci
B. Harmonic (Correct)
C. Geometric
D. Arithmetic
10) What is the difference between the arithmetic mean and the geometric mean
of 5 and 7?
A. 0.8
B. 0.08 (Correct)
C. 0.008
D. 0.0008
11) What is the real component of the complex number (4-i)^2?
A. -8
B. 17
C. 15 (Correct)
D. Missing information
12) Which one of the following properties of sets is said to be the commutative
property?
A. AUB=BUA (Correct)
B. A=B
C. AU(BUC)=(AUB)UC
D. A’=U-A
13) If x^4-3x^2+4=0 then its roots are:
A. 2, -2, i and –i (Correct)
B. 1, -1, i and -i
C. iota only
D. Impossible to determine
14) What are the cube roots of unity?
A. 1, -1, i and -i
B. 1, -1 and i
C. There doesn’t exist such entities in mathematics
D. 1, [-1+sqrt(3)*i]/2 and [-1-sqrt(3)*i]/2 (Correct)