CUET admission questions 2015-16 (Chittagong University of Engineering & Technology)

Physics 1st Paper

1. 1.The larger and smaller resultants of two vectors are 28 units and 4 units, respectively. They acted on a particle with an angle of 90° with each other. What is the value of resultant?

   1. A.None of them
   2. B.28 unit
   3. C.24 unit
   4. D.20 unit

2. 2.দুটি ভেক্টর রাশির বৃহত্তর ও ক্ষুদ্রতর লব্ধিদ্বয় যথাক্রমে 28 একক ও 4 একক। রাশি দুটি পরস্পরের সাথে 90° কোণে কোন একটি কণার উপর ক্রিয়া করল। লব্ধির মান কত?

   1. A.None of them
   2. B.28 unit
   3. C.24 unit
   4. D.20 unit

3. 3.a, b ও c এর মান কত হলে $\vec{V} = (x + y + az)\hat{i} + (bx + 3y - z)\hat{j} + (3x + cy + z)\hat{k}$ ভেক্টরটি অঘূর্ণনশীল হবে?

   1. A.(3, 1, 1)
   2. B.(3, -1, -1)
   3. C.(-3, 1, -1)
   4. D.(3, 1, -1)

Higher Math 2nd Paper

1. 4.If $A + B + C = (2n + 1) \frac{\pi}{2}$ for $n \in \mathbb{Z}$, then value of $\tan A \tan B + \tan B \tan C + \tan C \tan A$ is-

   1. A.$\frac{\sqrt{3}}{2}$
   2. B.$1$
   3. C.$\frac{1}{\sqrt{3}}$
   4. D.$\sqrt{3}$

2. 5.Two bodies of mass 5kg and 3kg are hanging freely at both sides of a pulley attached to a thin wire. The wire broke down after 4 sec. How much will the light mass go upward and when will it come back to its initial position?

   1. A.$(\sqrt{5} + 1)\text{sec}$
   2. B.$\sqrt{5} \text{ sec}$
   3. C.$(\sqrt{5} - 1)\text{sec}$
   4. D.None of them

Higher Math 1st Paper

1. 6.Evaluate: $\lim_{x \to 0} \frac{1-\cos 7x}{3x^2}$

   1. A.$\frac{2}{3}$
   2. B.$\frac{7}{3}$
   3. C.$\frac{49}{6}$
   4. D.$\frac{6}{49}$

2. 7.What will be the value of $\frac{dy}{dx}$ of the equation $xy + x^2 y^2 = C$?

   1. A.None of them
   2. B.$\frac{y}{x}$
   3. C.$\frac{y^2}{x}$
   4. D.$-\frac{y}{x}$

3. 8.Find the value of $\int \frac{e^{3x}-1}{e^{3x}+1} dx$.

   1. A.$x - \frac{2}{3} \log(1+e^{-3x}) + c$
   2. B.$x + \frac{2}{3} \log(1+e^{-3x}) + c$
   3. C.$x + 2 \log(1+e^{-3x}) + c$
   4. D.None of them

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