/20 1234567891011121314151617181920 Test Code: MC3L2 1 / 20 1. If 5 pencils and 7 pens cost Rs 50, and 7 pencils and 5 pens cost Rs 46, cost of one pen is: A) Rs 3 B) Rs 2 C) Rs 7 D) Rs 5 2 / 20 2. If the solution of a system is found using cross-multiplication, the lines must be: A) Intersecting B) None C) Coincident D) Parallel 3 / 20 3. Which method can be used to solve a pair of linear equations graphically? A) Elimination method B) Substitution method C) Matrix method D) Graphical method 4 / 20 4. The total number of students in a class if there are 4 rows and 9 students in each row is: A) 36 B) 9 C) 12 D) 45 5 / 20 5. What is the solution of the system: 2x + 3y = 11 and 2x – 4y = –24? A) (5, –2) B) (–2, 5) C) (–5, 2) D) (2, 3) 6 / 20 6. What type of solution does the system 6x – 3y + 10 = 0 and 2x – y + 9 = 0 have? A) Unique B) No solution C) Infinite D) None 7 / 20 7. In the age-based problem: “Ani is 3 years older than Biju and Dharam is twice Ani’s age,” if Cathy is 13, how old is Ani? A) 19 B) 21 C) 13 D) 16 8 / 20 8. If y = 2x + 3 and also y = –x + 9, then x = ? A) 1 B) 2 C) 4 D) 3 9 / 20 9. What is the graphical representation of x + y = 5 and 2x + 2y = 10? A) Coincident B) Parallel C) None D) Intersecting 10 / 20 10. If 3x + 2y = 5 and 2x – 3y = 7, the system is: A) Consistent with a unique solution B) Has no solution C) Coincident D) Inconsistent 11 / 20 11. In the word problem about hostel charges, fixed charge is Rs 400 and charge per day is: A) Rs 40 B) Rs 30 C) Rs 20 D) Rs 25 12 / 20 12. The pair 9x + 3y + 12 = 0 and 18x + 6y + 24 = 0 is: A) Intersecting B) Coincident C) Parallel D) Inconsistent 13 / 20 13. If 3x – y = 3 and 9x – 3y = 9, what can you say about the system? A) Inconsistent B) Parallel C) Coincident D) Unique solution 14 / 20 14. A train would take 2 hours less if it were 10 km/h faster. If actual time is 12 hours, speed is: A) 40 km/h B) 70 km/h C) 60 km/h D) 50 km/h 15 / 20 15. What is the solution to the system: x + y = 10 and x – y = 4? A) (7, 3) B) (6, 4) C) (3, 7) D) (5, 5) 16 / 20 16. If 5x – 4y + 8 = 0 and 7x + 6y – 9 = 0, what type of system is this? A) Coincident B) Consistent with unique solution C) Infinite solutions D) Inconsistent 17 / 20 17. If a = 5 and b = 1, the system: ax + by = a + b and 5x – y = 6 has: A) No solution B) Unique solution C) Infinite solutions D) Inconsistent system 18 / 20 18. Which of these equations is parallel to 2x + 3y – 8 = 0? A) 6x + 9y – 24 = 0 B) x + y = 4 C) 4x + 6y – 8 = 0 D) 2x + 3y = 0 19 / 20 19. If a linear system is inconsistent, it means: A) Lines are parallel B) Lines overlap C) One line only D) Lines intersect 20 / 20 20. If a pair of equations has a unique solution, then the lines: A) Are parallel B) Coincide C) Intersect at one point D) Never intersect