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MATHEMATICAL KNOWLEDGE PICAT EXAM QUESTIONS

Class notes Feb 17, 2026
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MATHEMATICAL KNOWLEDGE (PICAT) EXAM QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -11 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: If 2^x = 32, then x =

  • 2
  • 5
  • 16
  • 30
  • 32

Answer:

  • 5

Question 2: What is 5x times (3x^2 -5)?

  • 3x^2 + 5x - 5
  • 15x^2 - 5
  • 15x^3 - 5
  • 15x^3 - 25x

Answer:

  • 15x^3 - 25x

Question 3: if x+3y=7 and y=2, then x equals?

  • 1
  • 2

C. 3-1/2

  • 13
  • ( x +3(2)= 7 and 1+6=7)

Answer:

  • 1

Question 4: If 4x+12=0, then x =

A. -16

B. -12

  • -3
  • 13

Answer:

  • -3

Question 5: if x=-2 and y=3, what is the value of 2y-x?

  • 4
  • 8
  • -6
  • -7

Answer:

  • 8

Question 6: -25 - 8

A. -33

B. -17

  • 17
  • 33

Answer:

  • 33
  • Question 7: What is the sum of 3x^3 - 2x + 8, 2x^2 + 5x, and x^3 + 2x^2 - 3x - 3?

Answer:

4x^3 + 4x^2 + 5

Question 8: If x=2, and y = -3, then xy^2 =

A. -12

  • 12
  • 18

D. -18

Answer:

  • 12

Question 9: If x=4, which of the following expressions does NOT equal 9 ?

  • x - (-5)
  • x + 5
  • 2x + 1
  • x - 13

Answer:

  • x - 13

Question 10: Solve the following equation for d:b =cd

  • d= b + c
  • d=bc
  • d= b/c
  • d=c/d

Answer:

  • d=b/c

Question 11: what is 3a^2 + a^2 added to a+6?

  • 3a^2 + 2a + 6
  • 4a^2 + a + 6
  • 5a^2 + a + 6
  • 12a^2 + a + 6

Answer:

  • 4a^2 + a + 6

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