# Test Preparation MCQs (Math) for Competitive Exams

## Test Preparation MCQs (Math) for Competitive Exams

1. In a right-angled triangle sinθ = _____________.
1. Perpendicular/Hypotenuse
2. Base/Hypotenuse
3. Perpendicular/Base
4. Hypotenuse/Perpendicular
2. In a right-angled triangle tanθ = _____________.
1. Perpendicular/Hypotenuse
2. Base/Perpendicular
3. Perpendicular/Base
4. Hypotenuse/Perpendicular
3. In a right-angled triangle secθ = _____________
1. Perpendicular/Hypotenuse
2. Base/Hypotenuse
3. Hypotenuse/Base
4. Hypotenuse/Perpendicular
4. In a right-angled triangle Base/Hypotenuse = _____________
1. cosθ
2. cotθ
3. Cosecθ
4. sinθ
5. In a right-angled triangle Base/Perpendicular = _____________
1. cosθ
2. cotθ
3. Cosecθ
4. tanθ
6. In a right-angled triangle Hypotenuse/Perpendicular = _____________
1. cosθ
2. cotθ
3. Cosecθ
4. secθ
7. Cos 30º = ____________.
1. sec 30º
2. Cosec 60º
3. sin 60º
4. sin 30º
8. cot 80º ___________.
1. tan 10º
2. tan 80º
3. tan 100º
4. tan 20º
9. Cosec 50º _________.
1. sin 40º
2. sec 40º
3. sec 40º
4. cos 40º
10. The value of cos 60º____________.
1. √3/2
2. 1/2
3. 1/√2
4. 2
11. The value of cot 30º = __________.
1. 1/√3
2. 1
3. √3
4. √3/2
12. The value of tan 45º = __________.
1. 2
2. 1
3. √2
4. 1/√2
13. The value of cos² 30º = __________.
1. 3/4
2. √3/2
3. 1/√2
4. 9/4
14. The value of cosec 60º = ___________.
1. √3/2
2. 2/√3
3. 1/2
4. √3
15. The value of sin² 45º = ___________.
1. 1/√2
2. 2
3. 1/2
4. 1/4
16. The value of cosec² 60º = __________.
1. 2
2. 4/3
3. 2/√3
4. None of these
17. What is the value of x when the value of sin x is 1/√2?
1. 60º
2. 90º
3. 45º
4. 30º
18. Sin 60º × Cosec 60º – tan 30º × cot 30º = ___________.
1. 0
2. 1
3. 2
4. 4
19. There are ___________ trigonometric ratios.
1. 2
2. 3
3. 6
4. 12
20. The reciprocal of sec θ is ___________.
1. sin θ
2. cos θ
3. cosec θ
4. cot θ
21. Which one is wrong?
1. sin θ = 1/Cosec θ
2. cos θ = 1/sec θ
3. tan θ = 1/cot θ
4. cos θ = 1/cosec θ
22. Which one is wrong?
1. cosθ. secθ = 1
2. sinθ. cosecθ = 1
3. cotθ. sinθ = 1
4. cotθ. tanθ = 1
23. Which one is wrong?
1. sin θ = opposite side / hypotenuse
2. cos θ = adjacent side / hypotenuse
3. tan θ = hypotenuse side / opposite side
4. tan θ = opposite side / adjacent side
24. According to Pythagoras’s Theorem which is not true:
1. (Hypotenuse)² = (Base)² + (Perpendicular)²
2. (Base)² = (Hypotenuse)² – (Perpendicular)²
3. (Perpendicular)² = (Hypotenuse)² – (Base)²
4. (Hypotenuse)² = )Base)² – (Perpendicular)²
25. What is the value of Perpendicular, if Base = 1 and Hypotenuse = 2
1. 1
2. 5
3. √3
4. 9
26. What is the value of Base, if perpendicular = 12 and Hypotenuse = 13
1. 1
2. 5
3. 9
4. 25
27. What is the value of Hypotenuse, if base = 3 and perpendicular = 4
1. 1
2. 5
3. 7
4. 25
28. Trigonometric ratios are used to relate the angles to the lengths to the sides of a ___________ angled triangle.
1. Acute
2. Obtuse
3. Right
4. All of these
29. Pythagoras Theorem can be used on __________ triangle.
1. acute angled
2. obtuse-angled
3. right-angled
4. All of these
30. In a right-angled triangle, if the measurement of one angle is 45º then what is the measurement of the remaining angle?
1. 60º
2. 135º
3. 55º
4. 45º
31. Abbreviation of Q.E.D ________________.
1. Quod Erot Demonstration
2. Quod Erot Demonstrandum
3. Quotient Erot Demonstration
32. It is a branch of Mathematics concerned with the collection and classification of numerical facts like analyzing and interpreting data.
1. Statistics
2. Geometry
3. Trigonometry
4. Algebra
33. Information handling is a part of __________.
1. Geometry
2. Trigonometry
3. Statistics
4. Algebra
34. While collecting the data, if some quantities are repeated, the number of repetitions is called _________ of that quantity.
1. data
2. graph
3. distribution
4. frequency
35. A method of organizing &summarizing the primary data into grouped data is called _______.
1. commutative frequency
2. frequency distribution
3.  distribution
4. frequency
36. A visual representation of a frequency distribution.
1. histogram
2. frequency table
3. pictograph
4. pie graph
37. A vertical bar graph in which there is no gap between the bars in rectangular form.
1. pictograph
2. pie graph
3. histogram
4. none of these
38. It is the measure that identifies a single value as representative of an entire data.
1. solution
2. frequency
3. range
4. central tendency
39. Sum of all the values in the data divided by the number of values in the data.
1. Median
2. Mode
3. Mean
4. Weighted Mean
40. It is that value that occurs the maximum number of times in a set of data. It may or may not exist.
1. Median
2. Mode
3. Mean
4. Weighted Mean
41. It is that value that divides the data into two equal parts.
1. Median
2. Mode
3. Mean
4. Weighted Mean
42. We arrange the data in ascending or descending order to find the _________.
1. Mode
2. Median
3. Mean
4. Weighted Mean
43. If the number of items in the data is ____________, the middle term will be the median.
1. even
2. odd
3. even or odd
4. none of these
44. If the number of items in the data is ____________, the mean of two middle terms will be the median.
1. even
2. odd
3. even or odd
4. none of these
45. The mean value of 6, 6, 5, 1, 2, 3, 4 is _________.
1. 7
2. 6
3. 5
4. 4
46. The modal value of data 2, 4, 2, 7,5 is ____________.
1. 2
2. 4
3. 5
4. No mode
47. The median value of data 1, 2, 4,9,6, 2 is ________.
1. 2
2. 3
3. 4
4. 6
48. The number of modes in data 2, 4, 6, 6, 8, 2, 4 is __________.
1. 1
2. 2
3. 3
4. 4
49. Fill in the blanks: 3, 3, 4, 4, 5, 8, 7, 8, __________ 9. if mode is 8.
1. 9
2. 7
3. 5
4. 8
50. Range = ___________________.
1. Largest value – The smallest value
2. Smallest value – The largest value
3. Largent value / Smallest value
4. Smallest value / Largest value
51. Fill in the blanks: 4, 5, 12, 8, 20, ____________ 5, if median is 8.
1. 4
2. 5
3. 7
4. 9
52. Fill in the blanks: 6, 9, 7, 10, _________ 4, if mean is 8.
1. 12
2. 8
3. 48
4. 6
53. What is the value of the given tally mark:  IIIII IIII
1. 2
2. 8
3. 9
4. 5
54. Midpoint of class Interval (44.5 – 51.5) ___________.
1. 48
2. 7
3. 44.5
4. 51.5
55. Mode of the given data: 13, 14, 21, 23, 28
1. 20
2. 21
3. 25
4. no mode
56. The mean of 4 numbers is 45. The first two numbers are 64 and 36. If the remaining two numbers are equal to x. Find the value of x.
1. 40
2. 80
3. 90
4. 28
57. Which of the following exists only for qualitative data:
1. Mode
2. Median
3. Mean
4. Weighted Mean

So, this is the information, every candidate wants to know before applying to Pakistan Army, Pakistan Navy, and Pakistan Air Force as Officer, Soldier, or Civilian.

Remember me in your prayers and keep sharing these informational posts with your friends and family so, that needy one can adopt enough knowledge about the selection procedure in Pakistan Army, Pakistan Navy, and Pakistan Air Force.

NOTE; Information collected from different candidates now selected in the different departments through FPSC, PPSC, ISSB, Pak Navy, Pak Army, PAF, NAB, and Pak ASF.
Copy Rights © 2022 Jobs Pakistan Portal