SAT Diagnostic Practice Test 1

107 Questions | Total Attempts: 120

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SAT Diagnostic Practice Test 1

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Questions and Answers
  • 1. 
    If x, y and z are three consecutive odd integers such that 10< x < y < z< 20 and if y and z are prime numbers, what is the value of x + y?
    • A. 

      24

    • B. 

      27

    • C. 

      19

    • D. 

      32

    • E. 

      15

  • 2. 
    If p > 0, which of the following is equal to √48p3
    • A. 

      4p√3p

    • B. 

      3p√4p

    • C. 

      2√12p

    • D. 

      3√8p

    • E. 

      16p√3p

  • 3. 
    If 40% of x is equal to 30% of y, what % is x of y?
    • A. 

      50%

    • B. 

      75%

    • C. 

      175%

    • D. 

      20%

    • E. 

      40%

  • 4. 
    If 4(3x - 3) = 24, what is 5x - 5?
    • A. 

      10

    • B. 

      6

    • C. 

      24

    • D. 

      3

    • E. 

      4

  • 5. 
    The average of 11 numbers is 21 . The average of seven of those numbers is 25. What is the average of the remaining four numbers?
    • A. 

      4

    • B. 

      12

    • C. 

      14

    • D. 

      21

    • E. 

      25

  • 6. 
    Which of the following is equivalent to 6x 2 + x - 12 ?
    • A. 

      (2x + 3)(3x - 4)

    • B. 

      (2x - 3)(3x - 4)

    • C. 

      (2x + 3)(3x + 4)

    • D. 

      (6x + 3)(x - 12)

    • E. 

      (x + 3)(2x - 12)

  • 7. 
    • A. 

      81

    • B. 

      40

    • C. 

      72

    • D. 

      9

    • E. 

      18

  • 8. 
    If 2 dots are equal to 3 dashes and 5 dashes equal to 7 stars, what is the ratio of one dot to one star?
    • A. 

      10 ⁄ 21

    • B. 

      3 ⁄ 5

    • C. 

      5 ⁄ 3

    • D. 

      21 ⁄ 10

    • E. 

      2 ⁄ 3

  • 9. 
    A social welfare organization spends 40% of the funds collected towards old-age homes. If during an year 1.6 million dollars was spent on old-age homes, what is the total amount of funds collected in millions of dollars?
    • A. 

      4.0

    • B. 

      6.0

    • C. 

      4.6

    • D. 

      40.0

    • E. 

      1.6

  • 10. 
    In the given figure, Note: Figure not drawn to scale.
    • A. 

      130 degrees

    • B. 

      90 degrees

    • C. 

      100 degrees

    • D. 

      30 degrees

    • E. 

      160 degrees

  • 11. 
    Solve for x: 
    • A. 

      12 < x < 13

    • B. 

      -12 < x < -13

    • C. 

      -5 < x < -5

    • D. 

      -25 < x < 25

    • E. 

      -12 < x < 13

  • 12. 
    A car travels a distance of 250 miles, 700 miles and 325 miles at the rate of 50 miles/hr, 35 miles/hr and 13 miles/hr respectively.Find the average speed of the car in miles/hr.
    • A. 

      30

    • B. 

      25.5

    • C. 

      42.5

    • D. 

      13

    • E. 

      50

  • 13. 
    By which of the following number is 98765432 exactly divisible?
    • A. 

      9

    • B. 

      7

    • C. 

      5

    • D. 

      8

    • E. 

      11

  • 14. 
    In a class of 30 students, 14 take tea and 20 take coffee. How many take both tea and coffee?
    • A. 

      16

    • B. 

      10

    • C. 

      14

    • D. 

      30

    • E. 

      4

  • 15. 
    In the given figure, area of square ABED is 9 square units, BC = 5 units, EF = 1 unit. Find the area of the rectangle BCGF. 
    • A. 

      25 square units

    • B. 

      30 square units

    • C. 

      36 square units

    • D. 

      20 square units

    • E. 

      15 square units

  • 16. 
    If y2 = c, where y and c are integers, which of the following could be the value of c?
    • A. 

      45

    • B. 

      17

    • C. 

      64

    • D. 

      34

    • E. 

      10

  • 17. 
    In a store  
    • A. 

      15

    • B. 

      24

    • C. 

      150

    • D. 

      100

    • E. 

      240

  • 18. 
    Each month for 6 months the price of a commodity is doubled. At the end of the 6 months the price of the commodity is $640. What was the price of the commodity at the end of 3 months?
    • A. 

      $100

    • B. 

      $120

    • C. 

      $80

    • D. 

      $320

    • E. 

      $160

  • 19. 
    Alda can complete a test in  .
    • A. 

      N

    • B. 

      Ab

    • C. 

      Nab

    • D. 

      A

    • E. 

      B

  • 20. 
    An operation * is defined as follows: For any two positive numbers x and y,
    • A. 

      11 * 4

    • B. 

      4 * 9

    • C. 

      4 * 16

    • D. 

      7 * 4

    • E. 

      9 * 9

  • 21. 
    If x2y > 0 and xy2 < 0,then which of the following are true?  
    • A. 

      A. x = 0

    • B. 

      B. y = 0

    • C. 

      C. x > 0 and y < 0

    • D. 

      D. x < 0 and y > 0

    • E. 

      E. x > 0 and y > 0

  • 22. 
    In the given figure, EB is perpendicular to FC, and AD and EB intersect at point F. What is the value of  Note: Figure not drawn to scale.  
    • A. 

      A. 50 degrees

    • B. 

      B. 40 degrees

    • C. 

      C. 100 degrees

    • D. 

      D. 90 degrees

    • E. 

      E. 180 degrees

  • 23. 
    At what point will 12x2 + 5x + 1 attain the minimum value?
    • A. 

      A. 5 ⁄ 24

    • B. 

      B. -5 ⁄ 24

    • C. 

      C. 15 ⁄ 8

    • D. 

      D. 24 ⁄ 5

    • E. 

      E. 8 ⁄ 1

  • 24. 
    If x and y are multiples of 3, which of the following CANNOT also be a multiple of 3?
    • A. 

      A. x + y

    • B. 

      B. x - y

    • C. 

      C. x + y + 1

    • D. 

      D. xy

    • E. 

      E. xy + 3

  • 25. 
    How many positive integers less than 80 are equal to the product of a positive multiple of 5 and an even number?
    • A. 

      A. 3

    • B. 

      B. 5

    • C. 

      C. 15

    • D. 

      D. 9

    • E. 

      E. 7