Part 5 of our Numerical Ability reviewer has 20 practice questions in the style of the Civil Service Exam. Answer them in order, read the explanation after each one, and check your score against the 80% passing mark at the end. Questions and choices are reshuffled every time you retake the part.
Start Part 5Sample questions from Part 5
Here are a few questions from this part. Take the full test to answer all 20 and get your score.
Sample question 1
Evaluate: 123 x 0.1 + 123 x 0.01 + 123 x 0.001
- 13.653
- 135.53
- 1,356.3
- 13,563
Answer: 13.653
To evaluate the expression: 123 x 0.1 + 123 x 0.01 + 123 x 0.001, follow these steps:
1. Calculate each term separately:
- 123 x 0.1 = 12.3
- 123 x 0.01 = 1.23
- 123 x 0.001 = 0.123
2. Add the results together:
12.3 + 1.23 + 0.123 = 13.653
Therefore, the result of the expression is 13.653.
1. Calculate each term separately:
- 123 x 0.1 = 12.3
- 123 x 0.01 = 1.23
- 123 x 0.001 = 0.123
2. Add the results together:
12.3 + 1.23 + 0.123 = 13.653
Therefore, the result of the expression is 13.653.
Sample question 2
Find 3 ¼ of 16
- 7
- 16
- 39
- 52
Answer: 52
To find 3 ¼ of 16, follow these steps:
1. Convert the mixed number to an improper fraction:
3 ¼ = (3 × 4 + 1) / 4 = (12 + 1) / 4 = 13 / 4
2. Multiply the improper fraction by 16:
(13 / 4) × 16 = (13 × 16) / 4
3. Simplify the multiplication:
= 208 / 4 = 52
Therefore, 3 ¼ of 16 is 52.
1. Convert the mixed number to an improper fraction:
3 ¼ = (3 × 4 + 1) / 4 = (12 + 1) / 4 = 13 / 4
2. Multiply the improper fraction by 16:
(13 / 4) × 16 = (13 × 16) / 4
3. Simplify the multiplication:
= 208 / 4 = 52
Therefore, 3 ¼ of 16 is 52.
Sample question 3
Evaluate: 1 + ½ + ¼ + 1/8 = ?
- 1 3/16
- 1 3/8
- 1 5/8
- 1 7/8
Answer: 1 7/8
To evaluate the expression: 1 + ½ + ¼ + 1/8, follow these steps:
1. Convert each term to a common denominator. The least common denominator for 2, 4, and 8 is 8:
- 1 = 8/8
- ½ = 4/8
- ¼ = 2/8
- 1/8 = 1/8
2. Rewrite the expression with a common denominator:
1 + ½ + ¼ + 1/8 = 8/8 + 4/8 + 2/8 + 1/8
3. Add the fractions:
= (8 + 4 + 2 + 1) / 8 = 15/8
4. Convert the improper fraction to a mixed number:
15/8 = 1 7/8
Therefore, the answer is 1 7/8, which corresponds to option d.
1. Convert each term to a common denominator. The least common denominator for 2, 4, and 8 is 8:
- 1 = 8/8
- ½ = 4/8
- ¼ = 2/8
- 1/8 = 1/8
2. Rewrite the expression with a common denominator:
1 + ½ + ¼ + 1/8 = 8/8 + 4/8 + 2/8 + 1/8
3. Add the fractions:
= (8 + 4 + 2 + 1) / 8 = 15/8
4. Convert the improper fraction to a mixed number:
15/8 = 1 7/8
Therefore, the answer is 1 7/8, which corresponds to option d.
Sample question 4
Find the value of x in the equation: 3x + 7 = 28
- 7
- -7
- +7
- 4
Answer: 7
To find the value of x in the equation: 3x + 7 = 28, follow these steps:
1. Subtract 7 from both sides:
3x + 7 - 7 = 28 - 7
3x = 21
2. Divide both sides by 3:
x = 21 / 3 = 7
Therefore, the value of x is 7, which corresponds to option a.
1. Subtract 7 from both sides:
3x + 7 - 7 = 28 - 7
3x = 21
2. Divide both sides by 3:
x = 21 / 3 = 7
Therefore, the value of x is 7, which corresponds to option a.
Sample question 5
Which of the following has the greatest value?
- 8/(6^2)(8^2)
- 16/(6^2)(8^3)
- 1/(6^3)(8^2)
- 168/(6^4)(8^3)
Answer: 16/(6^2)(8^3)
Evaluate each left to right (divide first, then multiply):
a) 8/36 × 64 ≈ 14.2
b) 16/36 × 512 ≈ 227.6
c) 1/216 × 64 ≈ 0.30
d) 168/1296 × 512 ≈ 66.4
The greatest is b.
a) 8/36 × 64 ≈ 14.2
b) 16/36 × 512 ≈ 227.6
c) 1/216 × 64 ≈ 0.30
d) 168/1296 × 512 ≈ 66.4
The greatest is b.