NED University Entry Test Mathematics: Practice MCQs with Answers

Practise NED University Entry Test Mathematics practice MCQs in sets of about 20 questions with instant answers and explanations. This page focuses on mixed …

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NED University Entry Test Mathematics Practice 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. What is the latus rectum of the parabola y² = 8x?

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

    Answer: 8

  3. Q3. Directrix of parabola x² = 12y is:

    • A) y = 3
    • B) y = -3
    • C) x = 3
    • D) x = -3

    Answer: y = -3

  4. Q4. If sin^-1 (x) = π/6, then x is

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

    Answer: 1/2

  5. Q5. If y = 1/x, then dy/dx = ?

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

    Answer: -1/x²

  6. Q6. 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

  7. Q7. Simplify the expression sin(π - x).

    • A) sin(x)
    • B) -sin(x)
    • C) cos(x)
    • D) -cos(x)

    Answer: sin(x)

  8. Q8. If x = 3/4 and y = 2/3, then x + y is?

    • A) 17/12
    • B) 5/7
    • C) 1/2
    • D) 3/2

    Answer: 17/12

  9. Q9. The number 121 is divisible by?

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

    Answer: 11

  10. Q10. What is the magnitude of vector a = 3i - 4j + 12k?

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

    Answer: 13

  11. Q11. 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

  12. Q12. For the quadratic equation x² - 3x + 2 = 0, the sum of roots is?

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

    Answer: 3

  13. Q13. 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

  14. Q14. The range of y = sin(x) is

    • A) (-∞, ∞)
    • B) [-1, 1]
    • C) [0, 1]
    • D) (-1, 1)

    Answer: [-1, 1]

  15. Q15. The function f(x) = tan(x) is periodic with period

    • A) π
    • B) 2π
    • C) π/2
    • D) 3π/2

    Answer: π

  16. Q16. Simplify: sin(3x)/sin(x) - cos(3x)/cos(x)

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

    Answer: 2

  17. Q17. Cross product i × j = ?

    • A) k
    • B) -k
    • C) i
    • D) j

    Answer: k

  18. Q18. If a = (1, 2) and b = (3, -1), find a · b.

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

    Answer: 1

  19. Q19. 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

  20. Q20. 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

What are practice Mathematics MCQs for NED University Entry Test?

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