PU CET Lahore (Engineering & CS) Mathematics: Most Important MCQs with Answers

Practise PU CET Lahore (Engineering & CS) Mathematics most important MCQs in sets of about 20 questions with instant answers and explanations. This page focu…

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PU CET Lahore (Engineering & CS) Mathematics Most Important sample MCQs

  1. Q1. A tower subtends an angle of 30° at a point on the same level as the foot of the tower. At a second point, h m above the first, the depression of the foot of the tower is 60°. The height of the tower is

    • A) h/3 m
    • B) 3h m
    • C) h m
    • D) h/2 m

    Answer: h/3 m

  2. Q2. For the quadratic equation x² - 3x + 2 = 0, the sum of roots is?

    • A) 3
    • B) -3
    • C) 2
    • D) -2

    Answer: 3

  3. Q3. Simplify: sin(3x)/sin(x) - cos(3x)/cos(x)

    • A) 2
    • B) -2
    • C) 1
    • D) -1

    Answer: 2

  4. Q4. A tower stands at the center of a circular park. The angle of elevation of the top of the tower at a point on the circumference is 30°. If the radius is 100 m, find the height of the tower.

    • A) 100 / √3 m
    • B) 100√3 m
    • C) 50√3 m
    • D) 200 / √3 m

    Answer: 100 / √3 m

  5. Q5. The angle of elevation of a cloud from a point 100 m above a lake is 30° and the angle of depression of its reflection is 60°. Find the height of the cloud.

    • A) 200 m
    • B) 100 m
    • C) 150 m
    • D) 250 m

    Answer: 200 m

  6. Q6. A man is standing on the deck of a ship, which is 10 m above water level. He observes the angle of elevation of the top of a hill as 60° and the angle of depression of the base as 30°. Calculate the height of the hill.

    • A) 40 m
    • B) 30 m
    • C) 50 m
    • D) 60 m

    Answer: 40 m

  7. Q7. The shadow of a tower is 60 m when the sun's altitude is 30°. When the sun's altitude is 60°, the length of the shadow is

    • A) 20 m
    • B) 20√3 m
    • C) 60 / √3 m
    • D) 30 m

    Answer: 20 m

  8. Q8. A tree is broken by the wind. The top struck the ground at an angle of 30° at a distance of 30 m from the root. The height of the tree is

    • A) 30√3 m
    • B) 20√3 m
    • C) 10√3 m
    • D) 40√3 m

    Answer: 30√3 m

  9. Q9. The angle of elevation of the top of a tower from a point 20 m away from its base is 45°. The height of the tower is

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

    Answer: 20 m

  10. Q10. The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 9 m away from the wall. The length of the ladder is

    • A) 18 m
    • B) 12 m
    • C) 15 m
    • D) 20 m

    Answer: 18 m

  11. Q11. From the top of a cliff 100 m high, the angles of depression of two rocks on the ground on the same side of the cliff are 30° and 60°. The distance between the rocks is

    • A) 100√3 / 3 m
    • B) 100√3 m
    • C) 200√3 / 3 m
    • D) 150 m

    Answer: 200√3 / 3 m

  12. Q12. A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. The length of the string is

    • A) 40√3 m
    • B) 30√3 m
    • C) 120 / √3 m
    • D) 60√3 m / 3 m

    Answer: 40√3 m

  13. Q13. The angle of elevation of the top of a tower from a point on the ground is 30°. At a point on the horizontal line passing through the foot of the tower and 100 m nearer to it, the angle of elevation is found to be 60°. The height of the tower is

    • A) 50√3 m
    • B) 86.6 m
    • C) 100 m
    • D) 40 m

    Answer: 86.6 m

  14. Q14. A man observes the angle of elevation of the top of a tower to be 45°. He walks towards it in a horizontal line through its base. On covering 100 m, the angle of elevation changes to 60°. The height of the tower is

    • A) 236.6 m
    • B) 150 m
    • C) 200 m
    • D) 250 m

    Answer: 236.6 m

  15. Q15. The upper 3/4th portion of a vertical pole subtends an angle tan^-1(3/5) at a point in the horizontal plane through its foot and at a distance 40 m from the foot. The height of the pole is

    • A) 40 m
    • B) 45 m
    • C) 50 m
    • D) 60 m

    Answer: 45 m

  16. Q16. The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 20 m towards the tower, the angle of elevation increases by 15°. The height of the tower is

    • A) 20(√3 + 1) m
    • B) 10(√3 + 1) m
    • C) 30 m
    • D) 15 m

    Answer: 20(√3 + 1) m

  17. Q17. A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff of height 6 m. At a point on the plane, the angle of elevation of the bottom and top of the flagstaff are 30° and 45° respectively. The height of the tower is

    • A) 3(√3 + 1) m
    • B) 8.196 m
    • C) 9 m
    • D) 3 m

    Answer: 8.196 m

  18. Q18. From a point on the ground, the angle of elevation of the top of a tower is observed to be 60°. From a point 40 m vertically above the first point of observation, the angle of elevation is 45°. The height of the tower is

    • A) 20(3 + √3) m
    • B) 60 m
    • C) 30 m
    • D) 40 m

    Answer: 20(3 + √3) m

  19. Q19. The angles of elevation of the top of a tower from two points on the ground at distances a and b from the base are complementary. The height of the tower is

    • A) √(ab) m
    • B) ab m
    • C) a + b m
    • D) a - b m

    Answer: √(ab) m

  20. Q20. The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increases to 60°. The height of the tower is

    • A) 10√3 m
    • B) 20√3 m
    • C) 17.32 m
    • D) 30 m

    Answer: 17.32 m

What are most important Mathematics MCQs for PU CET Lahore (Engineering & CS)?

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