Mathematics Skills Test

Mathematics Skills Test

 

In how many different ways can the letters of the word ‘DETAIN’ be arranged so that the vowels occupy only the even positions?

a. 6
b. 12
c. 18
d. 36


This question is based upon the figure shown below

What will be the output after simplifying the given equation?

a. i +1
b. 4i/5 + 2/5
c. 4i/3
d. 2i/3 + 1/3
e. 2i


Complete the following series: 4, 12, __, 108, 324

a. 24
b. 36
c. 64
d. 48


The two vertices of an equilateral triangle are (3,2) and (4,-1). Find the third vertex and choose the correct option.

a. ((4 ± 3√ 3) / 2, (2 ± √ 3) / 2)
b. ((7 ± √ 3) / 2, (1 ± √ 3) / 2)
c. ((7 ± 3√ 3) / 2, (1 ± √ 3) / 2)
d. ((1 ± 3√ 3) / 2, (7 ± √ 3) / 2)


Which of the following is the correct polar form of the equation:

z = 4√3 – 4i

a. z=4√3(cos60° + isin60°)
b. z=4(cos45° – isin45°)
c. z=√8(cos60° + isin60°)
d. z=16(cos30° + isin30°)
e. z=8(cos30° – isin30°)
f. z=8√3(cos45° + isin45°)


Find the equation of tangent to hyperbola 3x2-2y2 = 5 such that it is parallel to line y = 3x+5.

a. y=3x ± √(75/6)
b. y=3x ± √(5)
c. y=3x ± √(89/8)
d. y=3x ± √(61/3)
e. y=3x ± √(23/12)


Mark bought a laptop priced at $3260 at a discount of 20%. He also paid a sales tax of 8% after the discount. Which of the following is the amount paid by Mark?

a. $3124.50
b. $2650.78
c. $2980.40
d. $2816.64


Which of the following is the equation of a locus of a point, which moves in such a way that its distance from point A (0,ab) is b times its distance from point B (0,a/b) where b > 0 and b ≠ 1?

a. x2 + y2 = a2
b. x2 + y2 = a2 – 4aby
c. x2 + y2 = b2
d. 2x2 + 2y2 = a2
e. x2 – y2 = b2


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