BUET admission questions 2010-11 (Bangladesh University of Engineering & Technology)

All 14 questions of this paper are below. Subjects: Chemistry 2nd Paper (1), Physics 1st Paper (2), Higher Math 1st Paper (7).

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Chemistry 2nd Paper

  1. 1.নিচের কোনটি পেট্রোলিয়ামের বিভাজন পাতন প্রক্রিয়ার উৎপাদ নয়?

    1. A.গ্যাসোলিন
    2. B.ইথানল
    3. C.ন্যাফথা
    4. D.কেরোসিন

Physics 1st Paper

  1. 2.একটি লন রোলার ঠেলা বা টানার সময় তুমি এর হাতলে অনুভূমিকের সাথে 30∘30^{\circ} কোণে 19.6N বল প্রয়োগ করছ। এটা টানা অপেক্ষাকৃত সহজ কারণ এর ওজন তখন কমে-

    1. A.3\sqrt{3} kg-weight
    2. B.19.6 kg-weight
    3. C.1 kg-weight
    4. D.9.8 kg-weight
  2. 3.40 N ওজনের বস্তুকে মেযে থেকে 3 m উঁচুতে 2 সেকেন্ড ধরে রাখতে কাজের পরিমাণ হবে-

    1. A.0 J
    2. B.40 J
    3. C.120 J
    4. D.240 J

Higher Math 1st Paper

  1. 4.If the equations 2x+3y=72x + 3y = 7 and 3ax−5by+15=03ax - 5by + 15 = 0 represent the same straight line, what are the values of the constants a and b?

    1. A.(−57,37)\left(-\frac{5}{7}, \frac{3}{7}\right)
    2. B.(−59,97)\left(-\frac{5}{9}, \frac{9}{7}\right)
    3. C.(−107,97)\left(-\frac{10}{7}, \frac{9}{7}\right)
    4. D.(−107,37)\left(-\frac{10}{7}, \frac{3}{7}\right)
  2. 5.What is the perpendicular distance of the lines 4y=3(x−4)4y = 3(x - 4) and 4y=3(x−1)4y = 3(x - 1)?

    1. A.94\frac{9}{4}
    2. B.159\frac{15}{9}
    3. C.95\frac{9}{5}
    4. D.None
  3. 6.If a circle is drawn taking the straight line joining the points (0,−1)(0, -1) and (2,3)(2, 3) as diameter, then the length of the intercept which the circle cuts off from x-axis is-

    1. A.4
    2. B.2
    3. C.3
    4. D.323\sqrt{2}
  4. 7.Evaluate: lim⁡x→01−e−2xlog⁡(1+x)\lim_{x \to 0} \frac{1 - e^{-2x}}{\log(1+x)}, [0<x<1][0 < x < 1]

    1. A.00
    2. B.11
    3. C.22
    4. D.13\frac{1}{3}
  5. 8.At what point, is the tangent line to the curve y2=2x3y^2 = 2x^3 perpendicular to the line 4x−3y+1=04x - 3y + 1 = 0?

    1. A.(−18,116)\left(-\frac{1}{8}, \frac{1}{16}\right)
    2. B.(18,−116)\left(\frac{1}{8}, -\frac{1}{16}\right)
    3. C.(−18,−116)\left(-\frac{1}{8}, -\frac{1}{16}\right)
    4. D.(18,116)\left(\frac{1}{8}, \frac{1}{16}\right)
  6. 9.For a spherical soap bubble, what will be the ratio between the rate of change of its volume and its rate of change of radius?

    1. A.πr2\pi r^2
    2. B.43πr2\frac{4}{3}\pi r^2
    3. C.43π\frac{4}{3}\pi
    4. D.4πr24\pi r^2
  7. 10.The value of x, for which f(x) = sin⁡3xcos⁡x\sin^3 x \cos x, (0 < x < π\pi) will be maximum is -

    1. A.π6\frac{\pi}{6}
    2. B.π4\frac{\pi}{4}
    3. C.π3\frac{\pi}{3}
    4. D.π12\frac{\pi}{12}

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