Part 4 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 4Sample questions from Part 4
Here are a few questions from this part. Take the full test to answer all 20 and get your score.
Sample question 1
If 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55, then 11 + 12 + 13 + 14 + 15 + 16 +
17 + 18 + 19 + 20 = ?
- 65
- 155
- 125
- 550
Answer: 155
To find the sum of numbers from 11 to 20, we can use the formula for the sum of an arithmetic sequence:
Sum = (n / 2) × (first term + last term)
Where:
- n is the number of terms.
- The first term is 11, and the last term is 20.
Step-by-step:
1. n = 10 (because there are 10 numbers from 11 to 20)
2. First term = 11
3. Last term = 20
4. Plug these values into the formula:
Sum = (10 / 2) × (11 + 20)
Sum = 5 × 31
Sum = 155
Therefore, the sum of the numbers from 11 to 20 is 155.
Sum = (n / 2) × (first term + last term)
Where:
- n is the number of terms.
- The first term is 11, and the last term is 20.
Step-by-step:
1. n = 10 (because there are 10 numbers from 11 to 20)
2. First term = 11
3. Last term = 20
4. Plug these values into the formula:
Sum = (10 / 2) × (11 + 20)
Sum = 5 × 31
Sum = 155
Therefore, the sum of the numbers from 11 to 20 is 155.
Sample question 2
Evaluate: {16-(24-8) + 22×8-8}.
- 40
- 48
- 64
- 168
Answer: 168
Step-by-step evaluation of the expression {16 - (24 - 8) + 22 × 8 - 8}:
1. Simplify inside the parentheses:
24 - 8 = 16
Now the expression becomes: 16 - 16 + 22 × 8 - 8
2. Multiply:
22 × 8 = 176
Now the expression is: 16 - 16 + 176 - 8
3. Perform addition and subtraction from left to right:
- 16 - 16 = 0
- 0 + 176 = 176
- 176 - 8 = 168
Therefore, the result of the expression is 168.
1. Simplify inside the parentheses:
24 - 8 = 16
Now the expression becomes: 16 - 16 + 22 × 8 - 8
2. Multiply:
22 × 8 = 176
Now the expression is: 16 - 16 + 176 - 8
3. Perform addition and subtraction from left to right:
- 16 - 16 = 0
- 0 + 176 = 176
- 176 - 8 = 168
Therefore, the result of the expression is 168.
Sample question 3
Find the product: 800 x 125
- 925
- 1,000
- 10,000
- 100,000
Answer: 100,000
800 × 125 = 8 × 125 × 100 = 1,000 × 100 = 100,000
Sample question 4
Find the quotient: 8 000 ÷ 125
- 48
- 64
- 80
- 88
Answer: 64
8,000 ÷ 125 = 8,000 × 8 ÷ 1,000 = 64,000 ÷ 1,000 = 64
Sample question 5
Find the sum: 299 + 943 + 398 + 101
- 1,531
- 1,641
- 1,741
- 122,222
Answer: 1,741
299 + 943 = 1,242
1,242 + 398 = 1,640
1,640 + 101 = 1,741
1,242 + 398 = 1,640
1,640 + 101 = 1,741