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GLOBAL TUTORS

   Math Practicetest    

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Date & Time : October 22, 2017, 19:11

Welcome to Global tutors Practicetest area:


Instructions:

* In this Practicetest each problem has four probable answers, decide which is the best of the given choice and click on the corresponding button.

* You can change the answer if required before submitting the Practicetest.

* Be careful not to spend too much time on any one question, as you are expected to complete the Practicetest within 30 minutes.

* Please do not click on the submit button till you have finished the complete Practicetest.


1) The coordinates of a point on the unit circle are (0, sin(s)). What is the value of s?
       A. 2
        B. 1
        C. 5
       D. 10

2) 4x2-3y2+8x+16 = 0 belongs to __________ conic section
       A. Ellipse
        B. Circle
        C. hyperbola
       D. parabola

3) If 15cotθ=8, evaluate (1+sinθ)(1-sinθ) / (1+cosθ)(1-cosθ)
       A. 64/225
        B. 225/64
        C. 25/64
       D. 64/25

4) Function f(x)=x2-10),then find f-1(1)
       A. √10
        B. √11
        C. &radic12
       D. 11

5) Solve for y, √(3y+1)-4=0
       A. 4
        B. 3
        C. -5
       D. 5

6) Find the focus of the following parabola: x2 - 4y = 0.
       A. (1,1)
        B. (0,1)
        C. (2,-3)
       D. (0,0)

7) The coordinates of a point on the parabola y2 =8x whose focal distance is 4 is
       A. (4,9)
        B. (2,4)
        C. (2,-3)
       D. (2,-4)

8) If x= secθ+tanθ,y= secθ-tanθ then
       A. x+y=1
        B. x-y=1
        C. xy=0
       D. xy=1

9) A card is drawn at random from 52 pack of cards. The probability of getting heart or diamond is:
       A. 1/2
        B. 11/16
        C. 5/16
       D. 0

10) How many 4-digit whole numbers can you write using the digits 1, 2, 3, 4, 5, 6 and 7 if no digit can be used twice ?
       A. 1680 numbers
        B. 210 numbers
        C. 840 numbers
       D. 420 numbers

11) Find whether the given pair of polynomials are relatively prime or not. a5 + a3 b + a b3 + b5, a3 a b3
       A. not prime
        B. relatively prime
        C. both are equal
       D. none of these

12) Find the values of p, q and r when (px + q)(2x +4) = 12 x2 + 10x + r.
       A. p = 6, q = 7, r = 28
        B. p = 6, q = 7, r = 18
        C. p = 7, q = 7, r = 28
       D. p = 6, q = 7, r = 28

13) Simplify:(5+i21)+(2-i123).
       A. 21
        B. 123+i
        C. 7-2i
       D. 7

14) If a1 = a and r = a6, then which term in the geometric sequence is a85?
       A. fifth term
        B. thirteenth term
        C. eighteenth term
       D. fifteenth term

15) James drove 270 miles. He drove 57 mph for the first 2 hours and 39 mph for the rest of his drive. How long did he drive at 39 mph?
       A. 1 hour
        B. 2 hours
        C. 3 hours
       D. 4 hours

16) Find the value of sin(1200) ?
       A. (√6 / 2)
        B. (√3)
        C. (√3 / 2)
       D. (√3 / 4)

17) Which angle is complementary to its reference angle?
       A. A 35 degree angle
        B. A 75 degree angle
        C. A 45 degree angle
       D. A 90 degree angle

18) Find the center of the circle (x - 3)2 + (y + 2)2 = 1/4
       A. (-3,-4)
        B. (1,-4)
        C. (3,-2)
       D. (3,1)

19) If tanθ+sinθ = m and tanθ-sinθ=n , then m2-n2 =
       A. 2√mn
        B. √mn
        C. 4√mn
       D. 6√mn

20) Find the derivative of sin(2x) ?
       A. cos2x
        B. 2tan2x
        C. 2sin2x
       D. 2cos2x



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