CUET admission questions 2010-11 (Chittagong University of Engineering & Technology)

Chemistry 2nd Paper

1. 1.অশোধিত পেট্রোলিয়াম তেলের উপাদানগুলো পৃথকীকরণ করা হয় কোন পদ্ধতিতে?

   1. A.পাতন
   2. B.আংশিক পাতন
   3. C.উর্ধ্বপাতন
   4. D.বাষ্প পাতন

Physics 1st Paper

1. 2.60 $\text{m}$ উঁচু থেকে একটি বস্তু ফেলা হলে ভূমি হতে কত উচ্চতায় গতিশক্তি বিভব শক্তির তিন গুণ হবে? [BUET'21-22; CKRUET'23-24, 22-23; IUT'21-22; BUTEX'16-17; CUET'10-11, 03-04]

   1. A.$15 \text{ m}$
   2. B.$30 \text{ m}$
   3. C.$10 \text{ m}$
   4. D.$16.67 \text{ m}$

Higher Math 1st Paper

1. 3.What are the co-ordinates of the points on y axis from which the perpendicular distance to the line $3y = 4x - 10$ is 4 unit?

   1. A.$(0, 10)$ and $(0, -\frac{10}{3})$
   2. B.$(0, 10)$ and $(0, \frac{10}{3})$
   3. C.$(0, -10)$ and $(0, \frac{10}{3})$
   4. D.None of these

2. 4.For what value of k does the circle $x^2 + y^2 + kx + 2y + 25 = 0$ touch x-axis?

   1. A.5
   2. B.-5
   3. C.10
   4. D.None of these

3. 5.If $y = \frac{1}{x}$ then what is the $20^{th}$ derivative of y?

   1. A.$\frac{20!}{x^{20}}$
   2. B.$\frac{20!}{x^{21}}$
   3. C.$\frac{21!}{x^{21}}$
   4. D.None of these

Higher Math 2nd Paper

1. 6.The value of $i^{4n+3}$ will be-

   1. A.$i$
   2. B.$-i$
   3. C.$-1$
   4. D.None of these

2. 7.What does the equation $9x^2 - 16y^2 - 36x - 32y - 124 = 0$ represent?

   1. A.Hyperbola
   2. B.Ellipse
   3. C.Parabola
   4. D.None of these

3. 8.If a stone is dropped into an empty well, it reaches the bottom of the well in 3 sec. Depth of the well will be-

   1. A.14.72 m
   2. B.88.29 m
   3. C.44.15 m
   4. D.None of these

4. 9.A pilot drops a bomb from a height 4900m while flying at a velocity of $126\text{kmh}^{-1}$. What would be the required horizontal distance of the target body ($g = 9.8\text{ms}^{-2}$)?

   1. A.1106.8m
   2. B.553.4m
   3. C.1660.2m
   4. D.None of these

Mathematics

1. 10.যদি a, b ∈ R, হলে |a – b| এর মান কত? [CUET 10-11]

   1. A.> ||a| – |b||
   2. B.= ||a| – |b||
   3. C.≥ ||a| – |b||
   4. D.None of these

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