InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A man standing on a 48.5 meter building high, has an eyesight height of 1.5m from the top of the building, took a depression reading from the top of another building and wall, which are 50° & 80° |
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Answer» 39.49 39.49 |
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| 2. |
For Cosine Rule of any triangle ABC, c² is equal to |
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Answer» a² + b² - 2ab cos C |
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| 3. |
In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then Ĉ is |
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Answer» 66° 66° |
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| 4. |
Evaluate arc cot [2cos (arc sin 0.5)] |
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Answer» 30° 30° |
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| 5. |
Solve for x in the equation: arc tan (x + 1) + arc tan (x – 1) = arc tan (12) |
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Answer» 1.34 1.34 |
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| 6. |
Arc tan [2 cos (arc sin [(3^(1/2))/2]) / 2]) is equal to |
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Answer» /4 π/4 |
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| 7. |
Solve for A for the given equation cos 2A = 1 – cos 2A |
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Answer» 45, 135, 225, 315 degrees |
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| 8. |
Number of dimensions a line can have is |
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Answer» one one |
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| 9. |
For any acute angle, sine A is equal to |
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Answer» SIN (180° - A) sin (180° - A) |
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| 11. |
If cosine is 0.8 then value of acute angle is |
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Answer» 36.87° 36.87° |
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| 12. |
By expressing cos 82° in terms of trigonometrical ratios, answer will be |
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Answer» COS 98° = -0.1392 − cos 98° = -0.1392 |
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| 13. |
For any acute angle, cosine A is equal to |
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Answer» -COS (180° - A) -cos (180° - A) |
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| 14. |
Flat surface like blackboard is classified as |
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Answer» plane plane |
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| 15. |
If cos 55° and sin 55° = 0.8 each then answer of 3 cos 125° + 5 sin 125° is |
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Answer» 1.6 1.6 |
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| 16. |
Number of dimensions a point can have is |
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Answer» negative negative |
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| 17. |
By expressing cos 113° in terms of trigonometrical ratios, answer will be |
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Answer» COS 67° = -0.3907 − cos 67° = -0.3907 |
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| 19. |
By expressing sin 170° in terms of trigonometrical ratios, answer will be |
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Answer» SIN 10° = 0.1736 sin 10° = 0.1736 |
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| 20. |
By expressing sin 125° in terms of trigonometrical ratios, answer will be |
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Answer» SIN 55° = 0.8192 sin 55° = 0.8192 |
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| 21. |
For Cosine Rule of any triangle ABC, a² is equal to |
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Answer» b² + c² - 2bc cos A |
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| 22. |
Line which is perpendicular to line passing through intersection point is called |
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Answer» normal normal |
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| 23. |
Solve for x in the given equation: Arc tan (2x) + arc tan (x) = π/4 |
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Answer» 0.281 0.281 |
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| 24. |
A ship started sailing S 42°35’ W at the rate of 5 kph. After 2 hours, ship B started at the same port going N 46°20’ W at the rate of 7 kph. After how many hours will the second ship be exactly north |
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Answer» 4.03 4.03 |
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| 25. |
Sec²θ-tan²θ = |
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Answer» 0 0 |
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| 26. |
Cos²2θ = |
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Answer» 1 + sin²¸ 1 + sin²θ |
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| 27. |
1 + cot²2θ = |
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Answer» sec²¸ sec²θ |
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| 28. |
Csc 520° is equal to: |
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Answer» CSC 20° csc 20° |
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| 29. |
Csc²θ/2-cot²θ/2 = |
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Answer» -1 -1 |
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| 30. |
If sin 3A = cos 6B, the |
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Answer» A + 2B = 30° A + 2B = 30° |
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| 31. |
Solve for x, if tan 3x = 5 tan x |
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Answer» 20.705° 20.705° |
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| 32. |
If sin x cos x + sin 2x = 1, what are the values of x? |
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Answer» 20.90°, 69.1° 20.90°, 69.1° |
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| 33. |
Solve for the θ in the following equation: Sin 2θ = cos θ |
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Answer» 30° 30° |
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| 35. |
Find the value of y in the given: y = (1 + cos θ) tan θ |
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Answer» SIN 2¸ sin 2θ |
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| 36. |
Simplify the expression sec θ – (sec θ)sin^2θ |
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Answer» COS ¸ cos θ |
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| 37. |
Simplify the equation sin^2θ(1 + cot^2θ) |
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Answer» 1 1 |
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| 39. |
The sides of a triangular lot are 130 m, 180 m and 190 m. The lot is to be divided by a line bisecting the longest side and drawn from the opposite vertex. Find the length of the line |
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Answer» 125 m 125 m |
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| 40. |
If Greenwich Mean Time (GMT) is 6 A.M, what is the time at a place located 30° East longitude? |
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Answer» 8 A.M. 8 A.M. |
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| 41. |
The sides of a triangle are 195, 157 and 210, respectively. What is the area of the triangle? |
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Answer» 14,586 sq. units |
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| 42. |
The sides of a triangle are 8, 15, and 17 units. If each side is doubled, how many square units will the are of the new triangle be? |
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Answer» 240 240 |
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| 43. |
The two legs of a triangle are 300 and 150 m each, respectively. The angle opposite the 150 m side is 26°. What is the third side? |
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Answer» 341.78 m 341.78 m |
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| 44. |
If tan x =1/2, tan y = 1/3, what is the value of tan (x + y)? |
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Answer» 1 1 |
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| 45. |
If sine is 0.2586 then value of acute angle is |
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Answer» 14.99° 14.99° |
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| 46. |
Considering 0° < x < 180°, angle of cos x = -0.8726 is |
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Answer» 150.76° 150.76° |
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| 47. |
1 + tan²2θ = |
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Answer» sec²2¸ sec²2θ |
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| 48. |
Considering Cosine rule, b² + c² - a²⁄2bc is equal to |
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Answer» COS A cos A |
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| 49. |
Dimensions of solid includes |
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Answer» height height |
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| 50. |
A PLDT tower and a monument stand on a level plane. The angles of depression of the top and bottom of the monument viewed from the top of the PLDT tower at 13° and 35° respectively. The height of the |
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Answer» 33.51 m 33.51 m |
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