CUET admission questions 2009-10 (Chittagong University of Engineering & Technology)

All 3 questions of this paper are below. Subjects: Chemistry 2nd Paper (1), Higher Math 1st Paper (2).

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Chemistry 2nd Paper

  1. 1.দ্রবণের ঘনমাত্রার কোন একক তাপমাত্রার পরিবর্তনের সাথে পরিবর্তিত হয় না?

    1. A.নরমালিটি
    2. B.মোলারিটি
    3. C.মোলালিটি
    4. D.None of them

Higher Math 1st Paper

  1. 2.When a=ba = b in the equation cos⁡2θ=(a+b)24ab\cos^2 \theta = \frac{(a+b)^2}{4ab}, the value of θ\theta will be-

    1. A.0o0^o
    2. B.90o90^o
    3. C.45o45^o
    4. D.None of these
  2. 3.α\alpha and β\beta are two positive acute angles and cos⁡2α=3cos⁡2β−13−cos⁡2β\cos 2\alpha = \frac{3 \cos 2\beta - 1}{3 - \cos 2\beta}. Which of the following relation is correct?

    1. A.tan⁡α=±tan⁡2β\tan \alpha = \pm \tan 2\beta
    2. B.tan⁡α=3tan⁡β\tan \alpha = \sqrt{3} \tan \beta
    3. C.tan⁡α=±3cot⁡β\tan \alpha = \pm \sqrt{3} \cot \beta
    4. D.tan⁡α=±2tan⁡β\tan \alpha = \pm \sqrt{2} \tan \beta

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