Defence Exams
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Q. The scalar product of two unit vectors is 0.5. What is the angle between them?
Q. The scalar product of two vectors A and B is 12, and the angle between them is 60°. If |A| = 4, find |B|.
Q. The scores of a class in a test are: 10, 12, 14, 16, 18. What is the variance? (2022)
Q. The scores of a test are: 20, 30, 40, 50. Calculate the variance. (2020)
Q. The scores of a test are: 20, 30, 40, 50. What is the standard deviation? (2020)
Q. The scores of five students are: 20, 22, 24, 26, 28. Calculate the variance. (2020)
Q. The scores of five students are: 20, 22, 24, 26, 28. What is the standard deviation? (2020)
Q. The scores of five students are: 20, 22, 24, 26, 28. What is the variance? (2020)
Q. The slope of the tangent line to the curve y = x^2 at the point (2, 4) is: (2022)
Q. The soil of a riverbank is composed of 40% sand, 30% silt, and 30% clay. What is the percentage of silt in the soil? (2019)
Q. The soil of a riverbank is composed of 60% sand, 30% silt, and 10% clay. What is the percentage of silt in the soil? (2019)
Q. The standard deviation of a data set is 5. If all values are increased by 2, what will be the new standard deviation? (2020)
Q. The standard deviation of a data set is 5. What is the variance? (2023)
Q. The sum of the angles in a triangle is equal to how many degrees? (2021)
Q. The sum of the roots of the equation x^2 - 7x + k = 0 is 7. What is the value of k if the product of the roots is 10? (2023)
Q. The sum of the roots of the quadratic equation 2x^2 - 8x + 6 = 0 is equal to what? (2020)
Q. The sum of the roots of the quadratic equation 3x^2 + 12x + 12 = 0 is equal to what? (2022)
Q. The Thar Desert is located in which Indian state? (2023)
Q. The total number of seats in the Lok Sabha is 543. If 20% of the seats are reserved for women, how many seats are reserved? (2022)
Q. The total number of states in India is 28. If each state has an average of 5 representatives in the Lok Sabha, how many representatives are there in total from the states?
Q. The unit vector in the direction of vector A = 6i - 8j is:
Q. The variance of a sample is calculated as 25. What is the standard deviation?
Q. The vertex of the parabola given by the equation y = 2x^2 - 4x + 1 is located at which point?
Q. The World Health Organization (WHO) was established in which year? (1948)
Q. Two circles have radii of 3 cm and 4 cm. What is the distance between their centers if they are externally tangent? (2022)
Q. Two circles touch each other externally. If the radius of the first circle is 3 cm and the second is 5 cm, what is the distance between their centers? (2023)
Q. Two circles with radii 3 cm and 4 cm are externally tangent. What is the distance between their centers? (2022)
Q. Two circles with radii 5 cm and 3 cm are externally tangent. What is the distance between their centers? (2023)
Q. Two dice are thrown simultaneously. What is the probability that the sum of the numbers on the dice is 7?
Q. Two lines are perpendicular to each other. If one line makes an angle of 30 degrees with the horizontal, what is the angle made by the other line with the horizontal? (2022)
