Knhs Stem Qualifying Exam 2019

60 Questions | Total Attempts: 70

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Knhs Stem Qualifying Exam 2019

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Questions and Answers
  • 1. 
    If the set of numbers 3, -12, 48, -192 form a geometric sequence, what is the common ratio between any two consecutive terms
    • A. 

      A. – 12

    • B. 

      B. – 8

    • C. 

      C. – 6

    • D. 

      D. -4

  • 2. 
    Which of the following is NOT an example of a harmonic sequence?
    • A. 

      A. 1/6, 1/7, 1/8, 1/9,...

    • B. 

      B. 4, 0, -4, -2

    • C. 

      C. 1/4, 1/12, 1/36,1/108,...

    • D. 

      D. 31/4

  • 3. 
    What is the next term in the arithmetic sequence:  2, 13/4, 9/2, 23/4,.
    • A. 

      A. 7

    • B. 

      B. 29/4

    • C. 

      C. 15/2

    • D. 

      D. 31/4

  • 4. 
    What is the sum of all even integers from 21 to 50?
    • A. 

      A. 540

    • B. 

      B. 592

    • C. 

      C. 600

    • D. 

      D. 640

  • 5. 
    What quotient shall be obtained when (x+9) divides (x2 – 81)?
    • A. 

      A. X+9

    • B. 

      B. X-9

    • C. 

      C. 9X+1

    • D. 

      D. 9X-1

  • 6. 
    What is the 14th term of a geometric sequence if the 4th term is 800 and the 10th term is 25/2?
    • A. 

      A. 25/4

    • B. 

      B. 25/8

    • C. 

      C. 25/16

    • D. 

      D. 5/4

  • 7. 
    What is the remainder if the expression ( 5b2+ 15b – 35) is divided by (b + 5)?
    • A. 

      A. 15

    • B. 

      B. 20

    • C. 

      C. 25

    • D. 

      D. 30

  • 8. 
    Which of the following is a factor of (3a + 1)?
    • A. 

      A. 3a2 + 3a + 1

    • B. 

      B. 3a2 + 5a + 1

    • C. 

      C. 6a2 + 5a + 1

    • D. 

      D. 6a2 + 5a + 3

  • 9. 
    What is the value of K if the expression (- 5x3 + 4x2 – 3x + K) is divided by (x-1), and obtains a remainder of 10?
    • A. 

      A. 12

    • B. 

      B. 14

    • C. 

      C. 16

    • D. 

      D. 18

  • 10. 
    Jace will evaluate a 7th degree polynomial in m, whose value is 5 through synthetic division. How many coefficients of m shall be written in the first row of the synthetic division procedure?
    • A. 

      A. 5

    • B. 

      B. 6

    • C. 

      C. 7

    • D. 

      D. 8 

  • 11. 
    What is the value of P(-2) in the expression: P(x) = 7x4 – 5x3 + 2x2 – 3?
    • A. 

      A. 161

    • B. 

      B. 159

    • C. 

      C. 157

    • D. 

      D. 155

  • 12. 
    Which of the following polynomial equation with roots -1, 1 and 4?
    • A. 

      A. P(x) = x3 – 4x2 – 2x + 4

    • B. 

      B. P(x) = x3 – 4x2 – 4x – 4

    • C. 

      C. P(x) = x3 – 4x2 + x + 4

    • D. 

      D. P(x) = x3 – 4x2 – x + 4

  • 13. 
    What are the roots of the quadratic equation b2 – 5b – 36 = 0?
    • A. 

      A. (9, 4)

    • B. 

      B. (9,-4)

    • C. 

      C. (-9, -4)

    • D. 

      D. (-9,4)

  • 14. 
    A square with a side of 12 cm and a rectangle with a width of 8 cm have the same area. What is the length of the rectangle?
    • A. 

      A. 16 CM

    • B. 

      B. 17 CM

    • C. 

      C. 18 CM

    • D. 

      D. 20 CM

  • 15. 
    In square FATE, the measure of angle F is 4x + 30.  What is the value of x?
    • A. 

      A. 21 degrees

    • B. 

      B. 19 degrees

    • C. 

      C. 15 degrees

    • D. 

      D. 13 degrees 

  • 16. 
    What is the sum of the first 8 terms of arithmetic sequence whose first term is 37 and the common difference is -4?
    • A. 

      A. 180

    • B. 

      B. 182

    • C. 

      C. 184

    • D. 

      D.186

  • 17. 
    The polynomial function P(x) = xn is true when,
    • A. 

      A. N is any real number

    • B. 

      B. N is an non-negative number

    • C. 

      C. N is an integer

    • D. 

      D. N is an irrational number

  • 18. 
    What is the leading term in a polynomial function P(x) = 5 + 7x4 – 3x + 2x5?
    • A. 

      A. 2

    • B. 

      B. 3

    • C. 

      C. 5

    • D. 

      D. 7

  • 19. 
     The computation for profit in a textile store is presented by the mathematical model P(x) = 3x2 + 6x – 120,000 where x is the number of meters being sold. What is the computed profit if the number of meters being sold is 250?
    • A. 

      A. P70,000.00

    • B. 

      B, P69,000.00

    • C. 

      C, P68, 000.00

    • D. 

      D. 67,000.00

  • 20. 
     Which of the following function will cross the x-axis thrice?
    • A. 

      A. P(x) = (x2-1)(x2 – 5x + 6)

    • B. 

      B. P(x) = (2x2 – 5x + 2) (x+3)

    • C. 

      C. Both A and B

    • D. 

      D. Neither A Nor B

  • 21. 
    Which of the following mathematical models is used to determine the distance between two points whose coordinates are (x1, y1) and (x2, y2)?
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 22. 
     What is the expansion of (2x – 3)3?
    • A. 

      A. 8x3 – 27

    • B. 

      B. 8x3 – 36x2 + 54x – 27

    • C. 

      C. 8x3 + 54x – 27

    • D. 

      D. 8x3 + 36x2 – 54x –

  • 23. 
    Mr. Torres has to travel going to his workplace during weekdays (Monday to Fiday). He has three ways to travel – by train, car or jeep. In how many ways can Mr. Torres report for work during the said days?
    • A. 

      A. 243 ways

    • B. 

      B. 225 ways

    • C. 

      C. 15 ways

    • D. 

      D. 3 ways

  • 24. 
    What is the value of the expression C (8, 6)?
    • A. 

      A. 56

    • B. 

      B. 48

    • C. 

      C. 28

    • D. 

      D. 14

  • 25. 
    What is the value of expression 10!/(4!7!)
    • A. 

      A. 90

    • B. 

      B. 60

    • C. 

      C. 40

    • D. 

      D. 30 

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