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AP ECET 2024 BSc Mathematics Question Paper with Answer Key PDF
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Sonal Vaid

Content Curator | Updated On - May 24, 2024

AP ECET 2024 BSc Mathematics Question Paper is available for download here. JNTU Anantapur on behalf of APSCHE conducted AP ECET 2024 on May 8 Shift 1. AP ECET 2024 BSc Mathematics Question Paper consists of 25 questions from Physics and Chemistry each, 50 questions from Mathematics and 100 questions from BSc Mathematics to be attempted in the duration of 3 hours.

AP ECET 2024 BSc Mathematics Question Paper with Answer Key PDF

AP ECET 2024 BSc Mathematics Question Paper AP ECET 2024 BSc Mathematics Answer Key
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AP ECET Questions

1.
The sum of the four digit even numbers that can be formed with the digits 0,3,5,4 with out repetition is

    • 14684
    • 43536
    • 46526
    • 52336

    2.
    If $I_{n} = \int \frac{\sin nx}{\sin x} dx $ for $n = 1, 2 , 3,...,$ then $I_6$ =

      • $\frac{3}{5} \sin3x + \frac{8}{3} \sin^{5} x -\sin x +c $
      • $\frac{2}{5} \sin 5x - \frac{5}{3} \sin^{3} x - 2 \sin x +c $
      • $\frac{2}{3} \sin 5x - \frac{8}{3} \sin^{5} x + 4 \sin x +c $
      • $\frac{2}{5} \sin 5 x -\frac{8}{3} \sin^{3} x + 4 \sin x +c $

      3.
      To which group and period does the element belong if the electronic configuration of an element in its $-2$ oxidation state is $1s^{2} 2s^{2} 2p^{6} 3s^{2} 3p^{6}$ ?

        • period 3 . group 16
        • period 3 . group 17
        • period 4 . group 16
        • period 4 . group 17

        4.
        Let $A, G, H$ and $S$ respectively denote the arithmetic mean, geometric mean, harmonic mean and the sum of the numbers $a_1 , a_2 , a_3 ....., a_n$ . Then the value of at which the function $f(x) =\displaystyle \sum^n_{k =1} (x -a_k)^2$ has minimum is

          • S
          • H
          • G
          • A

          5.
          A solid copper sphere of density $\rho$, specific heat capacity $C$ and radius $r$ is initially at $200\, K$. It is suspended inside a chamber whose walls are at $0\, K$. The time required (in (is) for the temperature of the sphere to drop to $100 \,K$ is ($\sigma$ is Stefan's constant and all the quantities are in SI units)

            • $48 \frac{r\rho C}{\sigma}$
            • $\frac{1}{48} \frac{r\rho C}{\sigma}$
            • $\frac{27}{7} \frac{r\rho C}{\sigma}$
            • $\frac{7}{27} \frac{r\rho C}{\sigma}$

            6.
            A parallel plate capacitor consists of two circular plates each of radius $2 \,cm$, separated by a distance of $0.1 \,mm$. If the potential difference across the plates is varying at the rate of $5 \times 10^{6} Vs ^{-1}$, then the value of displacement current is

              • 5.56 A
              • 5.56 mA
              • 0.556 mA
              • 2.28 mA

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