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CUET admission questions 2013-14 (Chittagong University of Engineering & Technology)

All 10 questions of this paper are below. Subjects: Physics 1st Paper (1), Higher Math 1st Paper (7), Higher Math 2nd Paper (2).

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Physics 1st Paper

  1. 1.তাপধারণ ক্ষমতার মাত্রা সমীকরণ কোনটি?

    1. A.ML2T−1θ−2ML^2T^{-1}\theta^{-2}
    2. B.ML2T−2θ−1ML^2T^{-2}\theta^{-1}
    3. C.ML−1T−2θ−1ML^{-1}T^{-2}\theta^{-1}
    4. D.ML−2T−2θ−1ML^{-2}T^{-2}\theta^{-1}
    5. E.ML−1T−1θ−1ML^{-1}T^{-1}\theta^{-1}

Higher Math 1st Paper

  1. 2.Find the equation of a straight line which passes through the point (3,6)(3, 6) and whose distance from the origin is 6 unit.

    1. A.4x+3y−30=04x + 3y - 30 = 0
    2. B.4x−3y−30=04x - 3y - 30 = 0
    3. C.3x+4y−30=03x + 4y - 30 = 0
    4. D.None of these

  2. 3.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}

  3. 4.If y=tan⁡−15+6x6−5xy = \tan^{-1} \frac{5+6x}{6-5x}, what is the value of dydx\frac{dy}{dx}?

    1. A.11+x2\frac{1}{1+x^2}
    2. B.−11+x2-\frac{1}{1+x^2}
    3. C.56(1+x2)\frac{5}{6(1+x^2)}
    4. D.None of these

  4. 5.For what value of k, will the tangent at the point x=1x = 1 of the curve y=k(x−1)(x+2)y = k(x - 1)(x + 2) make an angle of 60∘60^{\circ} with x-axis?

    1. A.13\frac{1}{\sqrt{3}}
    2. B.23\frac{2}{\sqrt{3}}
    3. C.32\frac{\sqrt{3}}{2}
    4. D.3\sqrt{3}

  5. 6.For what value of C, will the tangent of the curve y=Cx(1+x)y = Cx(1 + x) at the origin make an angle 30∘30^{\circ} with x-axis?

    1. A.3\sqrt{3}
    2. B.13\frac{1}{\sqrt{3}}
    3. C.23\frac{2}{\sqrt{3}}
    4. D.32\frac{\sqrt{3}}{2}

  6. 7.What is the value of ∫02adx2ax−x2\int_{0}^{2a} \frac{dx}{\sqrt{2ax-x^2}}?

    1. A.π\pi
    2. B.π2\frac{\pi}{2}
    3. C.2π2\pi
    4. D.None of these

  7. 8.What is the value of ∫xln⁡xdx\int x \ln x dx?

    1. A.x22ln⁡(x)−x24+c\frac{x^2}{2} \ln(x) - \frac{x^2}{4} + c
    2. B.x2ln⁡(x)−x24+cx^2 \ln(x) - \frac{x^2}{4} + c
    3. C.x22ln⁡(x)+x24+c\frac{x^2}{2} \ln(x) + \frac{x^2}{4} + c
    4. D.None of these

Higher Math 2nd Paper

  1. 9.Find the nature of roots of the equation 2x2+6x+5=02x^2 + 6x + 5 = 0

    1. A.Complex & unequal
    2. B.Complex & equal
    3. C.Real & unequal
    4. D.None of these

  2. 10.A stone is dropped into a well and the sound of striking the bottom of the well is heard after 3123\frac{1}{2} sec. If the velocity of sound is 327ms−1327\text{ms}^{-1}, then the depth of the well will be-

    1. A.45.5 m
    2. B.54.5 m
    3. C.50.0 m
    4. D.None of these
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