UET Lahore ECAT Mathematics: Most Repeated MCQs with Answers

Practise UET Lahore ECAT Mathematics most repeated MCQs in sets of about 20 questions with instant answers and explanations. This page focuses on high-yield …

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UET Lahore ECAT Mathematics Most Repeated sample MCQs

  1. Q1. What is the latus rectum of the parabola y² = 8x?

    • A) 4
    • B) 8
    • C) 12
    • D) 16

    Answer: 8

  2. Q2. If sin^-1 (x) = π/6, then x is

    • A) 1/2
    • B) -1/2
    • C) 1
    • D) Not defined

    Answer: 1/2

  3. Q3. If y = 1/x, then dy/dx = ?

    • A) -1/x²
    • B) 1/x²
    • C) -1/x
    • D) 1/x

    Answer: -1/x²

  4. Q4. If f(x) = x²e^x, then f'(x) =

    • A) x²e^x + 2xe^x
    • B) x²e^x - 2xe^x
    • C) 2xe^x
    • D) x²e^x

    Answer: x²e^x + 2xe^x

  5. Q5. The number 121 is divisible by?

    • A) 3
    • B) 7
    • C) 11
    • D) 13

    Answer: 11

  6. Q6. What is the magnitude of vector a = 3i - 4j + 12k?

    • A) 13
    • B) sqrt(109)
    • C) sqrt(13)
    • D) 14

    Answer: 13

  7. Q7. For the equation 2x² - 3x + 1 = 0, the sum of the roots is

    • A) 3 / 2
    • B) -3 / 2
    • C) 1 / 2
    • D) 2 / 3

    Answer: 3 / 2

  8. Q8. The sum of the first n odd numbers is n². If the sum is 49, then n = ?

    • A) 5
    • B) 6
    • C) 7
    • D) 8

    Answer: 7

  9. Q9. If a = (1, 2) and b = (3, -1), find a · b.

    • A) 5
    • B) 1
    • C) 2
    • D) 0

    Answer: 1

  10. Q10. The angle of elevation 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 the tower, the angle of elevation is found to be 60°. Find the height of the tower.

    • A) 50√3 m
    • B) 86.6 m
    • C) 100√3 m
    • D) 200 m

    Answer: 86.6 m

  11. Q11. A tower is 100√3 m high. Find the angle of elevation of its top when observed from a point 100 m away from its foot.

    • A) 60°
    • B) 45°
    • C) 30°
    • D) 90°

    Answer: 60°

  12. Q12. The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

    • A) 50/3 m
    • B) 16.67 m
    • C) 25 m
    • D) 30 m

    Answer: 16.67 m

  13. Q13. From the top of a 100 m high cliff, the angles of depression of two ships on the sea are 30° and 60°. If one ship is exactly behind the other on the same side of the cliff, find the distance between the ships.

    • A) 100√3 / 3 m
    • B) 115.47 m
    • C) 200 / √3 m
    • D) 230.94 m

    Answer: 115.47 m

  14. Q14. The angle of elevation of the top of a vertical tower from a point A on the ground is 60°. From a point B, 20 m vertically above A, the angle of elevation is 45°. Find the height of the tower.

    • A) 30 + 10√3 m
    • B) 47.32 m
    • C) 20 + 20√3 m
    • D) 60 m

    Answer: 47.32 m

  15. Q15. A tree is broken by the wind and its top touches the ground making an angle of 30° with the ground. If the length of the broken part is 20 m, find the height of the tree.

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

    Answer: 20(√3 + 1)/√3 m

  16. Q16. The angle of elevation of a jet plane from a point A on the ground is 60°. After a flight of 30 seconds, the angle of elevation changes to 30°. If the jet plane is flying at a constant height of 3600√3 m, find the speed of the jet plane.

    • A) 288 km/h
    • B) 864 km/h
    • C) 460.8 km/h
    • D) 230.4 km/h

    Answer: 864 km/h

  17. Q17. A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60°. When he moves 40 m away from the bank, he finds the angle of elevation to be 30°. Find the height of the tree.

    • A) 20√3 m
    • B) 34.64 m
    • C) 40√3 m
    • D) 60 m

    Answer: 34.64 m

  18. Q18. The angles of elevation of the top of a tower from the top and foot of a 10 m high building are 30° and 60° respectively. Find the height of the tower.

    • A) 15 m
    • B) 25 m
    • C) 30 m
    • D) 35 m

    Answer: 15 m

  19. Q19. A man on the top of a 100 m high tower observes two cars on the opposite sides of the tower on the same horizontal level, and their angles of depression are 30° and 45°. Find the distance between the two cars.

    • A) 273.2 m
    • B) 200 m
    • C) 173.2 m
    • D) 300 m

    Answer: 273.2 m

  20. Q20. If sin(θ) = 3/5, then what is the value of tan(θ)?

    • A) 3/4
    • B) 4/3
    • C) 5/3
    • D) 3/5

    Answer: 3/4

What are most repeated Mathematics MCQs for UET Lahore ECAT?

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Imtehan organises UET Lahore ECAT Mathematics questions into multiple sets. Start with the sample questions below, then open a set to practise interactively with scoring and explanations.

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