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BUTEX admission questions 2012-13 (Bangladesh University of Textiles)

All 14 questions of this paper are below. Subjects: Physics 1st Paper (2), Higher Math 1st Paper (8).

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Physics 1st Paper

  1. 1.দ্বন্দ্ব বা যুগল (Couple) বল সৃষ্টি হয় যখন বলদ্বয়-

    Tap an answer — the first 3 questions need no account

  2. 2.উড়োজাহাজ থেকে নিক্ষিপ্ত বোমা মাঝপথে ফেটে গেলে এর-

Higher Math 1st Paper

  1. 3.If two rows or columns of a determinant are identical, then the value of the determinant will be-

  2. 4.Find the cartesian equation of the polar equation r=asin⁡θr = a\sin\theta?

    1. A.x2+y2−y=0x^2 + y^2 - y = 0
    2. B.x2+y2+ay=0x^2 + y^2 + ay = 0
    3. C.x2+y2−ay=0x^2 + y^2 - ay = 0
    4. D.x2+ay2−y=0x^2 + ay^2 - y = 0
    See the answer

  3. 5.What will be the value of k if the lines 2x−y+7=02x - y + 7 = 0 and 3x+ky−5=03x + ky - 5 = 0 are perpendicular to each other?

    1. A.6
    2. B.8
    3. C.10
    4. D.12
    See the answer

  4. 6.The length of the x intercept from the general equation of a circle –

    1. A.2g2+c2\sqrt{g^2 + c}
    2. B.2f2+c2\sqrt{\text{f}^2 + c}
    3. C.2g2−c2\sqrt{g^2 - c}
    4. D.2f2−c2\sqrt{\text{f}^2 - c}
    See the answer

  5. 7.sin⁡218∘+sin⁡236∘+sin⁡254∘+sin⁡272∘=?\sin^2 18^{\circ} + \sin^2 36^{\circ} + \sin^2 54^{\circ} + \sin^2 72^{\circ} =?

    1. A.−2- 2
    2. B.±2\pm 2
    3. C.00
    4. D.22
    See the answer

  6. 8.If in triangle ABCABC, ∠B=55∘\angle B = 55^\circ, ∠C=80∘\angle C = 80^\circ, a=202 cma = 20\sqrt{2}\text{ cm}, then what is the radius of its circumcircle in cm\text{cm}?

    1. A.1010
    2. B.10210\sqrt{2}
    3. C.2020
    4. D.20220\sqrt{2}
    5. E.15215\sqrt{2}
    See the answer

  7. 9.If f(x) = x + sin x, then for what value of x is f'(x) = 0?

    1. A.π4\frac{\pi}{4}
    2. B.π\pi
    3. C.π5\frac{\pi}{5}
    4. D.π2\frac{\pi}{2}
    See the answer

  8. 10.What is value of ∫01dxex+e−x\int_0^1 \frac{dx}{e^x+e^{-x}}?

    1. A.tan⁡−1e−π4\tan^{-1} e - \frac{\pi}{4}
    2. B.tan⁡−1+π4\tan^{-1} + \frac{\pi}{4}
    3. C.π4−tan⁡−1e\frac{\pi}{4} - \tan^{-1} e
    4. D.π4+tan⁡−1e\frac{\pi}{4} + \tan^{-1} e
    See the answer
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