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ASVAB-Mathematics-Knowledge Dumps ASVAB-Mathematics-Knowledge Braindumps

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ASVAB-Mathematics-Knowledge


ASVAB Section 6 : Mathematics Knowledge


https://killexams.com/pass4sure/exam-detail/ASVAB-Mathematics-Knowledge

Question: 223


What’s the mode of the following series of numbers? 4, 4, 8, 8, 8, 10, 10, 12, 12

  1. 9

  2. 8

  3. 11

  4. 10


Answer: B


Explanation:

The mode of a series of numbers is the number that appears in the series the most frequently. In this case, it’s 8.

Question: 224


If a = 4, then a3 ÷ a = .

  1. 4

  2. 12

  3. 64

  4. 16


Answer: D


Explanation:

(4 × 4 × 4) ÷ 4 = 64 ÷ 4 = 16

Question: 225


Which of the following is a prime number?

  1. 27

  2. 11

  3. 8

  4. 4


Answer: B


Explanation:

A prime number is a number that can be divided evenly by itself or by one, but not by any other number. Choices 27, 8 and 4 can all be divided evenly by other numbers.

Question: 226


(x + 4)(x + 2) =

.

A. x2 + 6x + 6 B. x2 + 8x + 8 C. x2 + 8x + 6 D. x2 + 6x + 8

Answer: D


Explanation:

Multiply the first variable in the first set of parentheses with the first variable in the second set of parentheses (x × x = x2).

Next, multiply the first variable in the first set of parentheses with the second number in the second set of parentheses (x × 2 = 2x). So far, the results are x2+ 2x.

Now, multiply the second number in the first set of parentheses to the first variable in the second set of parentheses (4 × x = 4x).

Next, multiply the second variable in the first set of parentheses to the second number in the second set of parentheses (4 × 2 = 8). The solution is x2+ 2x + 4x + 8. Combining the like terms results in x2+ 6x + 8.

Question: 227


1.5 × 103= .

  1. 45

  2. 150

C. 1,500

D. 15


Answer: C


Explanation:

1.5 × 103= 1.5 × (10 × 10 × 10) = 1.5 × 1,000 = 1,500.

Question: 228


(12 yards + 14 feet) ÷ 5 =

.

  1. 12 feet

  2. 51/5 feet

  3. 10 feet

  4. 21/2 yards


Answer: C


Explanation:

Convert 12 yards and 14 feet to feet:

(12 yards × 3 feet per yard) + 14 feet = 36 feet + 14 feet = 50 feet. Divide by 5 as instructed: 50 feet ÷ 5 = 10 feet.

Question: 229


x3 × x4 = .

A. x12 B. 2×7

  1. 2×12

  2. x7


Answer: D


Explanation:

If two powers have the same base, they can be multiplied by keeping the base and adding the powers together.

Question: 230


The fourth root of 16 is .

  1. 4

  2. 1

  3. 3

  4. 2


Answer: D


Explanation:

24 = 16; the fourth root of 16 is 2.

Question: 231


What’s the equation of a line that passes through points (0, – 1) and (2, 3)?

  1. y = 2x – 1

  2. y = 2x + 1

  3. x = 2y – 1

  4. x = 2y + 1


Answer: A


Explanation:

The slope of the line is equal to the change in y values divided by the change in x values. The change in y values is 4(3 – -1). The change in x values is 2 (2 – 0). 4/2 = 2.

To find the intercept, substitute 0 for x in the equation y = 2x + b – 1 = 2(0) + b. Therefore, b = -1, so the equation is y = 2x – 1.

Question: 232


The cube of 5 is .

  1. 125

  2. 25

  3. 15

  4. 50


Answer: A


Explanation:

The cube of 5 = 5 × 5 × 5 = 125.

Question: 233


2.5 × 33 = .

  1. 22.5

  2. 75.0

  3. 67.5

D. 675.0


Answer: C


Explanation:

2.5 × 33= 2.5 (3 × 3 × 3) = 2.5 × 27 = 67.50.

Question: 234


If x = 8, what’s the value of y in the equation: y = (x2 ÷ 4) – 2?

  1. 1

    4

  2. 1

    6

  3. 1

    8

  4. 2

0


Answer: A


Explanation: y = (x2 ÷ 4)

– 2 y = (82 ÷ 4) – 2 y = (64

÷ 4) – 2 y = 16 – 2 = 14


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