[ CSE 36 ] CIVIL SERVICE EXAMINATION REVIEWER XXXVI - Numerical Ability

CIVIL SERVICE EXAMINATION REVIEWER

Instructions:

Please answer each question to the best of your ability. Each question is multiple choice, and only one answer per question is correct. Select the most appropriate answer from the options provided. There are 30 questions in total.

When you have completed all questions, click the "Submit" button at the bottom of the page to see your score. Good luck!

1. Solve for x in the equation: 5x - 3 = 2x + 9

A) x = 2
B) x = 4
C) x = 6
D) x = 8

2. What is the solution to the inequality 3x + 2 > 11?

A) x < 3
B) x > 3
C) x < 2
D) x > 2

3. If y = 3x + 5, what is the value of y when x = 4?

A) y = 9
B) y = 11
C) y = 17
D) y = 23

4. Simplify the expression: 4x^2 - 2x + x - 3

A) 4x^2 - x - 3
B) 4x^2 - x - 3
C) 4x^2 + 2x - 3
D) 4x^2 - 4x - 3

5. What is the mean of the numbers 8, 10, 12, and 14?

A) 10
B) 11
C) 12
D) 13

6. Find the median of the following numbers: 3, 5, 7, 9, 11

A) 7
B) 5
C) 9
D) 11

7. In the equation y = 2x + 3, what is the slope of the line?

A) 2
B) 3
C) 5
D) 1

8. What is the mode of the following set of numbers: 2, 4, 4, 6, 8?

A) 4
B) 2
C) 6
D) 8

9. What is the value of x if 3x - 9 = 0?

A) x = -3
B) x = 3
C) x = -9
D) x = 9

10. What is the range of the data set: 3, 7, 9, 15?

A) 5
B) 12
C) 9
D) 15

11. Simplify the expression: (2x + 3)(x - 4)

A) 2x^2 - 5x - 12
B) 2x^2 + 8x - 12
C) 2x^2 - 3x + 12
D) x^2 - 8

12. If a data set has a mean of 20 and a variance of 4, what is the standard deviation?

A) 2
B) 4
C) 8
D) 16

13. Solve for y in the equation: 3y + 6 = 18

A) y = 4
B) y = 6
C) y = 3
D) y = 5

14. Find the range of the following data set: 5, 10, 15, 20, 25

A) 10
B) 20
C) 25
D) 15

15. What is the slope of the line passing through the points (2, 3) and (5, 9)?

A) 1
B) 3
C) 2
D) 5

16. Simplify the expression: (x + 5)(x - 5)

A) x^2 + 25
B) x^2 - 25x
C) x^2 - 10x + 25
D) x^2 - 25

17. The probability of rolling a 4 on a standard six-sided die is:

A) 1/6
B) 1/3
C) 1/2
D) 1/4

18. What is the median of the numbers 2, 4, 6, 8, 10, 12?

A) 6
B) 7
C) 8
D) 9

19. Solve for x: 2x^2 = 50

A) x = 7
B) x = 5
C) x = 8
D) x = 6

20. If the mean of a dataset is 50 and each data point is increased by 5, the new mean will be:

A) 50
B) 55
C) 60
D) 45

21. Simplify: 9x^2 - 16y^2

A) (3x + 4y)(3x - 4y)
B) (3x + y)(3x - y)
C) (x + 4y)(x - 4y)
D) (x + 4)(x - 4)

22. What is the probability of drawing an Ace from a standard deck of 52 cards?

A) 1/13
B) 1/52
C) 1/4
D) 4/13

23. Find the value of x: x + 7 = 15

A) x = 5
B) x = 6
C) x = 7
D) x = 8

24. Solve for x in the equation 4x + 3 = 19

A) x = 2
B) x = 3
C) x = 4
D) x = 5

25. In a normal distribution, approximately what percentage of data falls within one standard deviation of the mean?

A) 68%
B) 34%
C) 95%
D) 99%

26. If 5x = 35, what is x?

A) x = 4
B) x = 5
C) x = 7
D) x = 8

27. Simplify the expression: (a + b)^2

A) a^2 + b^2
B) a^2 + 2ab + b^2
C) a^2 - 2ab + b^2
D) 2a + 2b

28. The probability of flipping a coin and it landing on heads is:

A) 1/2
B) 1/3
C) 1/4
D) 2/3

29. Simplify: 2(3x + 4) - 5

A) 3x - 1
B) 6x + 3
C) 6x + 9
D) 3x + 7

30. The median of the dataset 3, 5, 7, 9, 11 is:

A) 7
B) 5
C) 9
D) 6

Result

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