Q. What is the focus of the parabola defined by the equation y^2 = 20x?
  • A. (5, 0)
  • B. (0, 5)
  • C. (0, 10)
  • D. (10, 0)
Q. What is the focus of the parabola given by the equation y^2 = 20x?
  • A. (5, 0)
  • B. (0, 5)
  • C. (0, -5)
  • D. (10, 0)
Q. What is the formula for calculating electric power? (2023)
  • A. P = IV
  • B. P = I^2R
  • C. P = V^2/R
  • D. All of the above
Q. What is the formula for calculating the capacitance of a parallel plate capacitor?
  • A. C = εA/d
  • B. C = A/εd
  • C. C = d/εA
  • D. C = εd/A
Q. What is the formula for calculating the concentration of hydrogen ions in a solution with a pH of 5?
  • A. 1 x 10^-5 M
  • B. 1 x 10^-7 M
  • C. 1 x 10^-9 M
  • D. 1 x 10^-3 M
Q. What is the formula for calculating the concentration of hydrogen ions in a solution from its pH?
  • A. [H+] = 10^-pH
  • B. [H+] = pH/10
  • C. [H+] = 10^pH
  • D. [H+] = pH^10
Q. What is the formula for calculating the normality of a solution?
  • A. N = M x n
  • B. N = M / n
  • C. N = M + n
  • D. N = M - n
Q. What is the formula for calculating the pH of a solution?
  • A. pH = log[H+]
  • B. pH = -log[H+]
  • C. pH = [H+]
  • D. pH = 14 - pOH
Q. What is the formula for calculating the power consumed in an electrical circuit?
  • A. P = IV
  • B. P = I/R
  • C. P = V/R
  • D. P = IR
Q. What is the formula for the capacitance of a parallel plate capacitor?
  • A. C = εA/d
  • B. C = A/εd
  • C. C = d/εA
  • D. C = εd/A
Q. What is the formula for the total capacitance of two capacitors in parallel?
  • A. C_total = C1 + C2
  • B. C_total = C1 * C2
  • C. C_total = C1 / C2
  • D. C_total = C1 - C2
Q. What is the frequency of a sound wave with a wavelength of 2 meters traveling at 340 m/s?
  • A. 170 Hz
  • B. 340 Hz
  • C. 680 Hz
  • D. 3400 Hz
Q. What is the frequency of an AC signal with a period of 0.02 seconds?
  • A. 50 Hz
  • B. 100 Hz
  • C. 25 Hz
  • D. 200 Hz
Q. What is the function of a capacitor in an electric circuit? (2022)
  • A. Store energy
  • B. Increase current
  • C. Decrease voltage
  • D. Convert AC to DC
Q. What is the function of chlorophyll in plants? (2022)
  • A. Absorbing water
  • B. Absorbing sunlight
  • C. Transporting nutrients
  • D. Storing energy
Q. What is the function of chloroplasts in plant cells? (2022)
  • A. Energy production
  • B. Photosynthesis
  • C. Cell division
  • D. Protein synthesis
Q. What is the function of mitochondria in a cell? (2022)
  • A. Photosynthesis
  • B. Energy production
  • C. Protein synthesis
  • D. Cell division
Q. What is the function of phloem in plants?
  • A. Transport of water
  • B. Transport of food
  • C. Photosynthesis
  • D. Storage of nutrients
Q. What is the function of the immune system?
  • A. To transport oxygen
  • B. To protect against pathogens
  • C. To regulate body temperature
  • D. To digest food
Q. What is the function of the lysosome?
  • A. Energy production
  • B. Digestion of waste materials
  • C. Protein synthesis
  • D. Photosynthesis
Q. What is the function of the skeletal system? (2022)
  • A. To produce energy
  • B. To protect internal organs
  • C. To transport oxygen
  • D. To regulate hormones
Q. What is the GDP growth rate of India projected for 2023? (2023)
  • A. 5.5%
  • B. 6.0%
  • C. 6.8%
  • D. 7.5%
Q. What is the general solution of the differential equation dy/dx = 3x^2?
  • A. y = x^3 + C
  • B. y = 3x^3 + C
  • C. y = x^2 + C
  • D. y = 3x^2 + C
Q. What is the general solution of the differential equation dy/dx = 4y? (2019)
  • A. y = Ce^(4x)
  • B. y = Ce^(x/4)
  • C. y = 4Ce^x
  • D. y = 4Ce^(4x)
Q. What is the highest peak in India?
  • A. K2
  • B. Kangchenjunga
  • C. Nanda Devi
  • D. Mount Everest
Q. What is the indefinite integral of e^x? (2020)
  • A. e^x + C
  • B. e^x
  • C. x e^x + C
  • D. x^2 e^x + C
Q. What is the integral of cos(3x) dx?
  • A. (1/3)sin(3x) + C
  • B. 3sin(3x) + C
  • C. (1/3)cos(3x) + C
  • D. sin(3x) + C
Q. What is the integral of e^(2x) dx?
  • A. (1/2)e^(2x) + C
  • B. 2e^(2x) + C
  • C. e^(2x) + C
  • D. (1/2)e^(x) + C
Q. What is the integral of e^(2x)? (2023)
  • A. (1/2)e^(2x) + C
  • B. 2e^(2x) + C
  • C. e^(2x) + C
  • D. (1/2)e^(x) + C
Q. What is the integral of e^x dx?
  • A. e^x + C
  • B. e^x
  • C. x e^x + C
  • D. x e^x
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