SmartPrep BD

IUT admission questions 2011-12 (Islamic University of Technology)

All 12 questions of this paper are below. Subjects: Physics 1st Paper (1), Higher Math 1st Paper (6), Higher Math 2nd Paper (3).

Practise with answers

Not every question of this paper is in the bank yet ("partial"), so it is offered for practice only. Practise this paper to see the correct answers and explanations: every answer is checked instantly (free account needed).

Physics 1st Paper

  1. 1.The pilot of a private plane flies 20.0 km in a direction 60° north of east, then 30.0 km straight east, then 10.0 km straight north. How far the plane is from the starting point? (একটি ব্যক্তিগত বিমানের পাইলট পূর্বদিকের সাথে 60° কোণে উত্তর দিকে 20.0 কিমি উড়ে, তারপর সোজা পূর্ব দিকে 30.0 কিমি, তারপর সোজা উত্তরে 10.0 কিমি উড়ে। বিমানটি শুরুর স্থান থেকে কত দূরে অবস্থিত?)

    1. A.58.44 km
    2. B.38.44 km
    3. C.48.44 km
    4. D.46.44 km

Higher Math 1st Paper

  1. 2.For what values of k\text{k}, 3x−4y=k3x - 4y = \text{k} will touch x2+y2−8x=0x^2 + y^2 - 8x = 0?

    1. A.−8,32-8, 32
    2. B.−32,8-32, 8
    3. C.8,328, 32
    4. D.81,381, 3

  2. 3.The value of 2cos⁡π13cos⁡9π13+cos⁡3π13+cos⁡5π132\cos\frac{\pi}{13}\cos\frac{9\pi}{13}+\cos\frac{3\pi}{13}+\cos\frac{5\pi}{13} is-

    1. A.1
    2. B.-1
    3. C.12\frac{1}{2}
    4. D.0

  3. 4.Evaluate: lim⁡x→0ax−1x\lim_{x \to 0} \frac{a^x - 1}{x}

    1. A.0
    2. B.eae^a
    3. C.ln⁡(a)\ln (a)
    4. D.aa

  4. 5.If y=cot⁡−1x2ex+cot⁡−1exx2y = \cot^{-1} \frac{x^2}{e^x} + \cot^{-1} \frac{e^x}{x^2}, then dydx=?\frac{dy}{dx} = ?

    1. A.11
    2. B.00
    3. C.ee
    4. D.−1-1

  5. 6.If x=acos⁡3θx = a \cos^{3} \theta and y=bsin⁡3θy = b \sin^{3} \theta, then dydx=\frac{dy}{dx}=?

    1. A.−bacot⁡θ-\frac{b}{a} \cot \theta
    2. B.batan⁡θ\frac{b}{a} \tan \theta
    3. C.abcot⁡θ\frac{a}{b} \cot \theta
    4. D.−batan⁡θ-\frac{b}{a} \tan \theta

  6. 7.Each side of a square box increases at the rate of 0.5 cm/sec. If the length of each side is 100cm then the rate of increase of its area is-

    1. A.50cm/sec
    2. B.20cm2^2/sec
    3. C.100cm/sec
    4. D.100cm2^2/sec

Higher Math 2nd Paper

  1. 8.The value of i\sqrt{i} is-

    1. A.±(1+i)\pm(1+i)
    2. B.±(12+i)\pm(\frac{1}{2}+i)
    3. C.±12(1+i)\pm\frac{1}{\sqrt{2}}(1+i)
    4. D.±2(1+i)\pm\sqrt{2}(1+i)

  2. 9.A hyperbola passes through the points (6,4)(6, 4) and (−3,1)(-3, 1). Its center is at the origin and transverse axis is along x-axis. The length of the conjugate axis is-

    1. A.365\frac{36}{\sqrt{5}}
    2. B.8
    3. C.2
    4. D.4

  3. 10.A man carries, on his shoulder, a load at the end of a stick. The distance of the load and his hand from his shoulder is 1 meter and 0.25 meter respectively. If thrust on his shoulder is R, then what is the weight of the load?

    1. A.5R
    2. B.R5\frac{R}{5}
    3. C.4R
    4. D.R4\frac{R}{4}
Practise with answers

Other papers

All Islamic University of Technology admission test papers →