The Officials Mth101 CBT Practice

25 Questions | Total Attempts: 385

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The Officials Mth101 CBT Practice

This is a set up practice question by Oyewole Kolawole David, a student of Mechatronics Engineering department.


Questions and Answers
  • 1. 
    Let the U = {1,2,3,4,5,6,7,8,9}. And A={1,2,3,4}, B={1,3,5,7} , C={3,7,9} . Find (A U B U C)" 
    • A. 

      {6,8}

    • B. 

      {5,7,9}

    • C. 

      {2,4,6,8}

    • D. 

      {3}

  • 2. 
    Given that A= {a, b, c, d}, find n(A), the power set of A
    • A. 

      2

    • B. 

      3

    • C. 

      4

    • D. 

      5

  • 3. 
    Simplify a°
    • A. 

      0.12

    • B. 

      7

    • C. 

      2

    • D. 

      1

  • 4. 
    Solve the exponential equation: 2^2x - 6(2^x) + 8 = 0
    • A. 

      X= 7 or 2

    • B. 

      X= 1 or 2

    • C. 

      X= - 1 or - 2

    • D. 

      X= 1 or - 2

  • 5. 
    Given that a is a positive constant. Solve the inequalities |x-3a| > |x-a|
    • A. 

      X<2a

    • B. 

      X<-2a

    • C. 

      X>2a

    • D. 

      X>-2a

  • 6. 
    Find the nth term of the arithmetic sequence 7,2,-3,-8,......
    • A. 

      2+ 5n

    • B. 

      12 - 5n

    • C. 

      3 + 7n

    • D. 

      1 - n

  • 7. 
    Find the common difference BTW the successive terms of the arithmetic sequence for which the first term is 5 and the 32nd term is -119
    • A. 

      -4

    • B. 

      5

    • C. 

      4

    • D. 

      24

  • 8. 
    Sum the series 5+10+15+20+25+30+35+40
    • A. 

      30

    • B. 

      320

    • C. 

      200

    • D. 

      180

  • 9. 
    The sum of the 3rd term and the 7th of a sequence equals 6 and their product equals 8. Find the sum of the first 16 terms of the sequence 
    • A. 

      26

    • B. 

      76

    • C. 

      56

    • D. 

      106

  • 10. 
    Find the sum of all the integers between 100 and 400 that are divisible by 7
    • A. 

      12216

    • B. 

      10936

    • C. 

      10836

    • D. 

      27492

  • 11. 
    Find the Eighth term of the geometric sequence 8, 4, 2,...
    • A. 

      1/16

    • B. 

      1/9

    • C. 

      -1/4

    • D. 

      1/8

  • 12. 
    The 3rd and 6th terms of a GP are 108 and - 32 respectively. Find the common ratio
    • A. 

      2/3

    • B. 

      -2/3

    • C. 

      3/2

    • D. 

      -3/2

  • 13. 
    Solve the equation 2x^2 + 7x - 4 = 0
    • A. 

      2/3 or 4

    • B. 

      1/3 or 5

    • C. 

      1/2 or 4

    • D. 

      0.5 or - 4 

  • 14. 
    Find the minimum value of y = 3x^2 - 2x + 1
    • A. 

      4/3

    • B. 

      2/3

    • C. 

      1/3

    • D. 

      1/2

  • 15. 
    If a and B are the root of the equation 3x^2 - x - 5 = 0, find a + B
    • A. 

      5/3

    • B. 

      -5/3

    • C. 

      -1/3

    • D. 

      1/3

  • 16. 
    ___________ triangle is used to solve problems in Binomial expansion 
    • A. 

      Pythagoras

    • B. 

      Pascal

    • C. 

      Milikan

    • D. 

      Isosceles 

  • 17. 
    In how many ways can the following words be arranged : SUCCESSION 
    • A. 

      302400 ways

    • B. 

      372933 ways

    • C. 

      1550 ways

    • D. 

      100 ways

  • 18. 
    Six people sit a round table. In how many ways can two of them sit next to each other 
    • A. 

      20 ways 

    • B. 

      30 ways

    • C. 

      40 ways

    • D. 

      50 ways

  • 19. 
    Seven men volunteer to dig a well in a community, find the number of ways five of them can be chosen for the job
    • A. 

      21

    • B. 

      14

    • C. 

      49

    • D. 

      12

  • 20. 
    Which of these rule/method cannot be used to solve simultaneously in Matrices? 
    • A. 

      Planks method

    • B. 

      Inverse method

    • C. 

      Gauss elimination method

    • D. 

      Crammers rule

  • 21. 
    Simplify (6 + 3i) + (7 - i) 
    • A. 

      13 + 2i

    • B. 

      13 - 2i

    • C. 

      2 + 13i

    • D. 

      2 - 13i

  • 22. 
    (7 + 2i) + (3 - 4i) - (5 + i) 
    • A. 

      6 + 3i

    • B. 

      13 - 4i

    • C. 

      5 - 3i

    • D. 

      5 + 3i

  • 23. 
    Express (3 + i) ( 4 - 2i) in form of a + ib
    • A. 

      14 - 2i

    • B. 

      14 + 2i

    • C. 

      18 - i

    • D. 

      18 + i 

  • 24. 
    Express 100° in radians
    • A. 

      5^/9

    • B. 

      2^/5

    • C. 

      ^/9

    • D. 

      Pi/5

  • 25. 
    Express 2pi/5 in degrees 
    • A. 

      72°

    • B. 

      40°

    • C. 

      75°

    • D. 

      132°

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