Knhs Stem Qualifying Exam 2019

60 Questions | By Stemexam2019 | Last updated: May 10, 2019 | Total Attempts: 70

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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 14^th term of a geometric sequence if the 4th term is 800 and the 10^th 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 7^th 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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