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GLOBAL TUTORS

   Math Practicetest    

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Date & Time : August 19, 2017, 17:12

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) In a class 40% of the students enrolled for Math and 70% enrolled for Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects?
       A. 3%
        B. 15%
        C. 5%
       D. 4%

2) A circle is inscribed in a triangle whose sides are 15, 14 and 13 units. Find the radius of the circle.
       A. 3 units
        B. 5 units
        C. 4 units
       D. 16 units

3) Change the rectangular co-ordinates B(- 3, 1) to polar coordinates. 
       A. (2, 100)
        B. (2, 1500)
        C. (2, 500)
       D. (1, 1500)

4) The price of an article is cut by 10%.To restore it to the former value, the new price must be increased by:
       A. 12(1/9)%
        B. 1(1/9)%
        C. 11%
       D. 11(1/9)%

5) The domain of f defined by f(x) = (25 - x2)1/2
       A. [-5 ,5 ]
        B. (-5,5)
        C. (0,5)
       D. {-5,5}

6) In a circle with centre O, AB and CD are two diameters, perpendicular to each other. Find the length of the chord AC.
       A. √2 times to radius
        B. √3 times to radius
        C. √5 times to radius
       D. √15 times to radius

7) What is the value of 13 + 23 + 33 + ... + 123?
       A. 6094
        B. 6084
        C. 6048
       D. 3042

8) Find the co-vertices of the hyperbola. (x2 /9) - (y2 /36) = 2
       A. (3,0) and (3,0)
        B. (-3,0) and (3,0)
        C. (0,-6) and (0,6)
       D. (-3,0) and (3,1)

9) Two opposite angles of a cyclic quadrilateral are in the ratio 4 : 5. The smaller angle is
       A. 40°
        B. 60°
        C. 100°
       D. 80°

10) Express tan θ in terms of cos θ.
       A. 1-cos2θ
        B. √(1+cos2θ)/cosθ
        C. √(1-cos2θ)/sinθ
       D. √(1-cos2θ)/cosθ

11) Reduce the following rational expression to lowest terms. (x2-2x-8)/(x2-9x+20)
       A. (x-2)/(x+5)
        B. (x+2)/(x-5)
        C. (x-2)/(x-5)
       D. (x+2)/(x+5)

12) 8 coins are tossed at a time, the probability of getting at least 6 heads up is:
       A. 57/64
        B. 229/256
        C. 7/64
       D. 37/256

13) Two planes leave New York City airport at the same time, one flying east at 370 miles/ hr and the other flying west at 410 miles/ hr. After how much time will the two planes be 6240 miles apart?
       A. 20 hrs
        B. 8 hrs
        C. 15 hrs
       D. 16 hrs

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

15) A pack of cards contain 4 aces, 4 queens and 4 jacks. If 2 cards are drawn, then the probability that at least one of them is ace is:
       A. 1/5
        B. 3/16
        C. 1/6
       D. 1/9

16) Simplify sec2A(1 - cos2A) = _______
       A. 1 - cos4A
        B. 2 sec2A
        C. tan2A
       D. cot2A

17) Find the vertices of the ellipse 2x2 +3y2 - 6 = 0.
       A. ( √ 3,0), (- √ 3,0)
        B. ( √ 3,-1), (- √ 3,0)
        C. ( √ 2,0), (- √ 3,0)
       D. ( √ 3,0), ( √ 3,0)

18) AB, CD cut at O and angle AOC = 420. OX bisects angle BOC. Find angle XOD.
       A. 690
        B. 1210
        C. 590
       D. 1110

19) The area of the triangle formed with the coordinate axis and the tangent drawn at the point (-12, 5) on the circle x2 + y2 = 169 is______
       A. 26 1/24
        B. 238 1/120
        C. 9 18/23
       D. 428 1/20

20) If cosθ = 12/13 and tanθ = - 5/12 then determine the quadrant in which the terminal side of ∠? lies?
       A. quadrant 1
        B. quadrant 2
        C. quadrant 3
       D. quadrant 4



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