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GLOBAL TUTORS

   Math Practicetest    

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Date & Time : August 19, 2017, 17:11

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) Inverse of the function y = x + 22 is _______?
       A. x + 22
        B. x / 22
        C. x * 22
       D. x - 22

2) Find the value of x if log1/x 4 = -2
       A. 1
        B. 2
        C. 3
       D. 4

3) If n(A) = p, n(B) = q then the number of relations formed from A to B are _________
       A. p * q
        B. 2pq
        C. pq
       D. qp

4) Use Pascal’s triangle to expand the following, (a + b)3
       A. a3 + 3a2 b + 3ab2 + b3
        B. a6 + 3a2 b + 3ab2 + b3
        C. a9 + 3a2 b + 3ab2 + b3
       D. a12 + 3a2 b + 3ab2 + b3

5) The coefficient of x4 in (1-2x)-2 is :
       A. 40
        B. 65
        C. 75
       D. 80

6) How many permutations of the letters of the word NEW YORK are possible?
       A. 5010
        B. 5030
        C. 5020
       D. 5040

7) The median of 8, 14, ____, 18, 19 and 18 is 17. What is the missing number?
       A. 61
        B. 16
        C. 15
       D. 51

8) You have 5 shirts, but you will select only 3 for your vacation. In how many different ways can you do this?
       A. 10 ways
        B. 20 ways
        C. 15 ways
       D. 5 ways

9) Given a well shuffled deck of standard playing cards, what is the probability of randomly selecting an even numbered card?
       A. 20/52
        B. 22/52
        C. 4/52
       D. -20/52

10) A race track is in the form of a ring. The ratio of inner radius to the outer radius is 3 : 5. If the area of the outer circle is 75 m2 then find the area of the track.
       A. 48 m2
        B. 75 m2
        C. 27 m2
       D. 45 m2

11) A shopkeeper sold 18 kg of sugar in one day. How many grams of sugar did he sell in one day?
       A. 180000 g
        B. 18000 g
        C. 0.18 g
       D. 1800 g

12) What is the value of √2 * (5 +√8)
       A. 5√4 + 4
        B. 5√2 + 10
        C. 5√2 + 4
       D. 8√2 + 4

13) If ax2+bx+c is exactly divisible by (x-1),(x-2) and leaves remainder 6 when divided by (x+1),find a,b and c.
       A. a=1,b=3,c=2
        B. a=2,b=3,c=4
        C. a=1,b=1,c=1
       D. a=1,b=-3,c=2

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

15) The height of a tree in a picture was 3 in. Find the actual height of the tree, if the scale of the picture was 1in = 10 m.
       A. 32 meters
        B. 28 meters
        C. 10 meters
       D. 30 meters

16) What is the position of the middle quartile of an ordered data set of 17 values?
       A. 8
        B. 7
        C. 9
       D. 6

17) Is the following conic a parabola, an ellipse, a circle, or a hyperbola: -3x2 + xy - 2y2 + 4 = 0?
       A. Ellipse
        B. Circle
        C. both a and b
       D. ellipse

18) Factorize x3+3x2-x-3.
       A. (x-1)(x+1)
        B. (x-1)(x+1)(x+3)
        C. (x-1)(x+1)(x-3)
       D. None

19) Find the value of Sin 30 + cos 60
       A. 1
        B. √3/2
        C. 1/√2
       D. 1/2

20) Rationalise the denominator 9/√8
       A. (9√8)/8
        B. (9√8)/9
        C. (9√9)/9
       D. (8√8)/9



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