Major Competitive Exams

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Q. If the line graph shows a sharp increase in sales for Product A in December, what might this indicate?
  • A. Holiday season sales
  • B. New product launch
  • C. Price reduction
  • D. All of the above
Q. If the line graph shows a sharp increase in sales for Product C in December, what inference can be made about consumer behavior?
  • A. Holiday shopping
  • B. Product launch
  • C. Price reduction
  • D. Market saturation
Q. If the line graph shows that Product B's sales are consistently higher than Product A's, what can be inferred?
  • A. Product B is more popular
  • B. Product A is being improved
  • C. Product B is overpriced
  • D. Product A is a new launch
Q. If the line y = mx + 1 is perpendicular to the line 2x + 3y = 6, what is the value of m?
  • A. -3/2
  • B. 2/3
  • C. 3/2
  • D. -2/3
Q. If the linear equation 5x + 2y = 10 is graphed, what is the point where it intersects the x-axis?
  • A. (2, 0)
  • B. (0, 5)
  • C. (5, 0)
  • D. (0, 2)
Q. If the linear equation 5x - 2y = 10 is graphed, what is the point of intersection with the x-axis?
  • A. (2, 0)
  • B. (0, 5)
  • C. (0, -5)
  • D. (5, 0)
Q. If the lines represented by the equation 2x^2 + 3xy + y^2 = 0 are intersecting, what is the condition on the coefficients?
  • A. D > 0
  • B. D = 0
  • C. D < 0
  • D. D = 1
Q. If the lines represented by the equation 2x^2 + 3xy + y^2 = 0 intersect at the origin, what is the sum of the slopes?
  • A. -3
  • B. -2
  • C. 2
  • D. 3
Q. If the lines represented by the equation 3x^2 + 2xy - y^2 = 0 intersect at an angle of 60 degrees, what is the value of the coefficient of xy?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. If the lines represented by the equation 3x^2 + 2xy - y^2 = 0 intersect at the origin, what is the product of their slopes?
  • A. -1
  • B. 0
  • C. 1
  • D. 2
Q. If the lines represented by the equation 3x^2 + 4xy + 2y^2 = 0 are perpendicular, what is the value of k?
  • A. -1
  • B. 0
  • C. 1
  • D. 2
Q. If the lines represented by the equation 3x^2 + 4xy + 2y^2 = 0 intersect at the origin, what is the product of their slopes?
  • A. -2/3
  • B. -3/2
  • C. 0
  • D. 1
Q. If the lines represented by the equation 4x^2 + 4xy + y^2 = 0 are coincident, what is the value of k?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If the lines represented by the equation 5x^2 + 6xy + 5y^2 = 0 are intersecting, what is the nature of the intersection?
  • A. Acute
  • B. Obtuse
  • C. Right
  • D. None
Q. If the lines represented by the equation 5x^2 + 6xy + 5y^2 = 0 intersect at the origin, what is the angle between them?
  • A. 0 degrees
  • B. 45 degrees
  • C. 90 degrees
  • D. 60 degrees
Q. If the lines represented by the equation 6x^2 + 5xy + y^2 = 0 intersect at the origin, what is the sum of their slopes?
  • A. -5/6
  • B. 5/6
  • C. 1
  • D. 0
Q. If the lines represented by the equation 6x^2 - 5xy + y^2 = 0 are intersecting, what is the nature of the roots?
  • A. Real and distinct
  • B. Real and equal
  • C. Complex
  • D. Imaginary
Q. If the lines represented by the equation 6x^2 - 5xy + y^2 = 0 are perpendicular, what is the value of 6?
  • A. True
  • B. False
  • C. Depends on x
  • D. Depends on y
Q. If the lines represented by the equation 6x^2 - 5xy + y^2 = 0 are real and distinct, what is the condition on the coefficients?
  • A. D > 0
  • B. D = 0
  • C. D < 0
  • D. D = 1
Q. If the lines represented by the equation ax^2 + 2hxy + by^2 = 0 are perpendicular, then:
  • A. a + b = 0
  • B. ab = h^2
  • C. a = b
  • D. h = 0
Q. If the lines represented by the equation x^2 + 2xy + y^2 = 0 are coincident, what is the value of the constant term?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If the magnetic field around a closed loop is constant, what can be said about the current through the loop?
  • A. It is zero
  • B. It is variable
  • C. It is constant
  • D. It is infinite
Q. If the magnetic field in a region is uniform, what is the shape of the magnetic field lines?
  • A. Straight lines
  • B. Curved lines
  • C. Concentric circles
  • D. Random
Q. If the magnetic field strength is doubled, what happens to the force experienced by a current-carrying conductor? (2022)
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. If the magnetic field strength is doubled, what happens to the force on a charged particle moving perpendicular to the field?
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. If the magnetic field strength is doubled, what happens to the force on a current-carrying conductor? (2022)
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. If the magnetic field strength is doubled, what happens to the force on a current-carrying conductor in that field? (2022)
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. If the magnetic field strength is doubled, what happens to the induced EMF in a coil with a constant number of turns and area?
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. If the magnetic field strength is doubled, what happens to the magnetic force on a charged particle moving perpendicular to the field?
  • A. Doubles
  • B. Halves
  • C. Remains the same
  • D. Quadruples
Q. If the magnetic field through a loop is doubled while the area remains constant, what happens to the magnetic flux?
  • A. Magnetic flux doubles
  • B. Magnetic flux halves
  • C. Magnetic flux remains the same
  • D. Magnetic flux becomes zero
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