# Practice Unical Mat111 Past Questions

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## Mat111 Past Questions

Duration: 30 minutes

1. Evalute i18
A. 1
B. -1
C. i
D. -i
2. Given x3 = 7. determine logx2401
A. 6
B. 12
C. 14
D. 10
3. (2-i)2
A. 4+i
B. 2-i
C. 3-4i
D. 3+4i
4. Given x2 + y2 = 100, 3x-y = 10. Find x1 + x2
A. 2
B. 4
C. 6
D. 8
5. (1/2)-1
A. 2
B. 4
C. 1/2
D. 0
6. (125/65)0
A. 0
B. -2/7
C. 23/4
D. 1
7. Let B = {bij} = 2i+j. Determine b12 + b13
A. 4
B. 5
C. 9
D. 10
8. Express Log1/a in terms of log a
A. 2 log a
B. log a
C. -log a
D. -2 log a
9. 2(22x)-5(2x)+2 = 0. Find x
A. -1, 1
B. 2,4
C. 1/2
D. -1, 3
10. Find the co-efficient of b2 in (a-2b)3
A. 10a2
B. -8a
C. 12a
D. -12
11. Determine the remainder when 2x3 - x2 + 2 is divided by x - 3
A. 36
B. 30
C. 47
D. 41
12. Evaluate a6 x a5
A. a5
B. a6
C. a11
D. a30
13. 25x + 2.5x -3 = 0
A. 0 or 2
B. 0 or -3=5x
C. 0 or 1
D. 1 or 3
14. (log8x)2 - 3log8x + 2 = 0
A. 8 or 64
B. 0 or 64
C. 0 or 8
D. all of the above
15. (W2)m/(Wm)3
A. W-m
B. W2
C. 1/W2
D. -W-m
16. Let x + 1/x = 3.Find x3+1/x3
A. 18
B. 24
C. 27
D. 25
17. Reduce i-5
A. i2
B. -1
C. i
D. -i
18. Find the real and imaginary part of (2-i)(3+i)
A. -1,2
B. -1,-1
C. 7,1
D. 7,-1
19. x + x1/3 = 6/25
A. 10-0.46
B. 40.32
C. 2
D. 30.1
20. (-1/7)-2
A. -11/7
B. 1/7
C. 49
D. 7
21. Simplify 1/2log 4 - log 6
A. log 2/3
B. log 1/6
C. log 1/3
D. log 2/7
22. Simplify 2 - 2 log 5
A. log 4
B. 2 log 5
C. log 2/25
D. log 1/2
23. Evaluate log75
A. 0.8271
B. 1.2314
C. 0.8144
D. 0.7233
24. Find the value of |3+4i|
A. 4
B. 5
C. 6
D. 7
25. Solve for x in 22x = 5
A. 1.1610
B. 1.1628
C. 1.2341
D. 2.3410
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