BUTEX admission questions 2011-12 (Bangladesh University of Textiles)

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

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Physics 1st Paper

  1. 1.A⃗.B⃗=0\vec{A}.\vec{B} = 0. What is the angle between A⃗\vec{A} and B⃗\vec{B}?

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  2. 2.A⃗⋅B⃗=0\vec{A} \cdot \vec{B} = 0 হলে A⃗\vec{A} ও B⃗\vec{B} এর মধ্যবর্তী কোণ কত?

Higher Math 1st Paper

  1. 3.What is the value of lim⁡x→0sin⁡5xsin⁡7x\lim_{x \to 0} \frac{\sin 5x}{\sin 7x}?

Higher Math 2nd Paper

  1. 4.If tan⁡2θ+sec⁡θ=−1,0<θ<2π\tan 2\theta + \sec \theta = -1, 0 < \theta < 2\pi, then what is value of θ\theta?

    1. A.π\pi
    2. B.π2\frac{\pi}{2}
    3. C.π4\frac{\pi}{4}
    4. D.3π2\frac{3\pi}{2}
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  2. 5.The resultant of two forces of magnitude P is P2+2P\sqrt{2 + \sqrt{2}}. The angle between the resultant and any one of them is-

    1. A.2212∘22\frac{1}{2}^{\circ}
    2. B.60∘60^{\circ}
    3. C.45∘45^{\circ}
    4. D.90∘90^{\circ}
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  3. 6.A coconut of mass 2kg is falling downwards from tree. If the air resistance is 7.6N, then what is the acceleration of the coconut?

    1. A.43.3ms−243.3\text{ms}^{-2}
    2. B.12ms−212\text{ms}^{-2}
    3. C.6ms−26\text{ms}^{-2}
    4. D.4ms−24\text{ms}^{-2}
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