Major Competitive Exams

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Q. If the lengths of the semi-major and semi-minor axes of an ellipse are 5 and 3 respectively, what is the distance between the foci?
  • A. 4
  • B. 6
  • C. 8
  • D. 10
Q. If the lengths of the sides of a rectangle are 4 cm and 6 cm, what is its perimeter? (2022)
  • A. 20 cm
  • B. 24 cm
  • C. 10 cm
  • D. 12 cm
Q. If the lengths of the sides of a triangle are 3 cm, 4 cm, and 5 cm, what type of triangle is it? (2023)
  • A. Acute
  • B. Obtuse
  • C. Right
  • D. Equilateral
Q. If the lengths of the sides of a triangle are 7 cm, 24 cm, and 25 cm, is it a right triangle? (2023)
  • A. Yes
  • B. No
  • C. Cannot be determined
  • D. Only if angles are known
Q. If the lengths of two sides of a triangle are 8 cm and 15 cm, what is the maximum possible length of the third side? (2021)
  • A. 22 cm
  • B. 23 cm
  • C. 24 cm
  • D. 25 cm
Q. If the lever arm is doubled while keeping the force constant, how does the torque change?
  • A. It doubles
  • B. It triples
  • C. It remains the same
  • D. It halves
Q. If the line 2x + 3y = 6 intersects the x-axis, what is the point of intersection?
  • A. (3, 0)
  • B. (0, 2)
  • C. (0, 3)
  • D. (2, 0)
Q. If the line 2x + 3y = 6 intersects the x-axis, what is the x-coordinate of the intersection point?
  • A. 0
  • B. 2
  • C. 3
  • D. 6
Q. If the line 3x + 4y = 12 intersects the x-axis, what is the point of intersection?
  • A. (4, 0)
  • B. (0, 3)
  • C. (0, 4)
  • D. (3, 0)
Q. If the line 3x + 4y = 12 intersects the x-axis, what is the x-coordinate of the intersection point?
  • A. 4
  • B. 3
  • C. 2
  • D. 1
Q. If the line 3x + 4y = 12 intersects the y-axis, what is the point of intersection? (2021)
  • A. (0, 3)
  • B. (0, 4)
  • C. (0, 2)
  • D. (0, 1)
Q. If the line 3x + 4y = 12 is transformed to slope-intercept form, what is the slope?
  • A. -3/4
  • B. 3/4
  • C. 4/3
  • D. -4/3
Q. If the line 3x + 4y = 12 is transformed to slope-intercept form, what is the y-intercept?
  • A. 3
  • B. 4
  • C. 12
  • D. 0
Q. If the line 3x - 4y + 12 = 0 intersects the y-axis, what is the point of intersection?
  • A. (0, 3)
  • B. (0, -3)
  • C. (0, 4)
  • D. (0, -4)
Q. If the line 3x - 4y + 12 = 0 is parallel to another line, what is the slope of the parallel line?
  • A. 3/4
  • B. -3/4
  • C. 4/3
  • D. -4/3
Q. If the line 3x - 4y + 12 = 0 is parallel to another line, what is the slope of that line?
  • A. 3/4
  • B. -3/4
  • C. 4/3
  • D. -4/3
Q. If the line 3x - 4y + 12 = 0 is parallel to which of the following lines?
  • A. 6x - 8y + 24 = 0
  • B. 3x + 4y - 12 = 0
  • C. x + 2y - 5 = 0
  • D. 2x - 3y + 6 = 0
Q. If the line 3x - 4y + 12 = 0 is transformed to slope-intercept form, what is the slope?
  • A. 3/4
  • B. -3/4
  • C. 4/3
  • D. -4/3
Q. If the line 5x + 12y = 60 is transformed to slope-intercept form, what is the slope?
  • A. -5/12
  • B. 5/12
  • C. 12/5
  • D. -12/5
Q. If the line 5x + 2y = 10 intersects the y-axis, what is the y-coordinate of the intersection point?
  • A. 0
  • B. 2
  • C. 5
  • D. 10
Q. If the line 5x - 2y + 10 = 0 is reflected about the x-axis, what is the new equation?
  • A. 5x + 2y + 10 = 0
  • B. 5x - 2y - 10 = 0
  • C. 5x + 2y - 10 = 0
  • D. 5x - 2y + 10 = 0
Q. If the line 7x + 2y = 14 is transformed to slope-intercept form, what is the slope?
  • A. -7/2
  • B. 7/2
  • C. 2/7
  • D. -2/7
Q. If the line graph indicates a consistent decline in sales for Product C over several months, what strategy might the company consider?
  • A. Increase marketing efforts
  • B. Reduce prices
  • C. Introduce new features
  • D. All of the above
Q. If the line graph indicates a steady decline in the sales of Product C from January to June, what can be inferred about consumer preferences?
  • A. Consumers prefer Product A
  • B. Product C is being discontinued
  • C. Product C has a seasonal demand
  • D. None of the above
Q. If the line graph indicates a steady decline in the sales of Product C from January to June, what can be inferred about the market trend for that product?
  • A. Increased competition
  • B. Seasonal demand
  • C. Improved marketing
  • D. Consumer preference shift
Q. If the line graph indicates that Product A's sales are consistently higher than Product C's, what can be concluded?
  • A. Product A is more popular
  • B. Product C is being discontinued
  • C. Sales data is misleading
  • D. Product A has better marketing
Q. If the line graph indicates that Product A's sales were consistently higher than Product B's throughout the year, what can be inferred?
  • A. Product A is more popular
  • B. Product B is being phased out
  • C. Sales strategies are ineffective
  • D. None of the above
Q. If the line graph shows a downward trend for Product C but an upward trend for Product A, what could be a potential market implication?
  • A. Product C is losing market share
  • B. Product A is gaining popularity
  • C. Both products are affected by external factors
  • D. All of the above
Q. If the line graph shows a downward trend for Product C over several months, what strategy might the company consider?
  • A. Increase advertising
  • B. Reduce prices
  • C. Enhance product features
  • D. All of the above
Q. If the line graph shows a plateau in sales for Product A after a period of growth, what could be a possible reason?
  • A. Increased competition
  • B. Market saturation
  • C. Seasonal fluctuations
  • D. All of the above
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