Welcome to your Pair of Linear Equations in Two Variables MCQs Mock Test of 10th Class Math
1.
1. The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father are, respectively
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Q2. The graph of y = 4x is a line
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3. Rakshita has only Rs. 1 and Rs. 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs 75, then the number of Rs.1 andRs.2 coins is, respectively
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Q4. The pair of equations x = 0 and x = 5 has
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5. In a competitive examination, one mark is awarded for each correct answer while 1/2 mark is deducted for every wrong answer. Jayanti answered 120 questions and got 90 marks. How many questions did she answer correctly?
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Q6. One equation of a pair of dependent linear equations is 2x + 5y = 3. The second equation will be
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7. A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Reema paid Rs. 22 for a book kept for six days, while Ruchika paid Rs 16 for the book kept for four days, then the charge for each extra day is:
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Q8. The graph of y = 5 is a line parallel to the
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9. The angles of a cyclic quadrilateral ABCD are: Then value of x and y are:
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Q10. If a pair of linear equations is consistent, then the lines will be
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Q11. The value of k, for which the system of equations x + (k + l) y = 5 and (k + l) x + 9y = 8k – 1 has infinitely many solutions is
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Q12. If in the equation x + 2y = 10, the value of y is 6, then the value of x will be
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Q13. The pair of equation x = – 4 and y = – 5 graphically represents lines which are
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Q14. The graph of the equation 2x + 3y = 5 is a
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Q15. If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively
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Q16. Graphically, the pair of equations 7x – y = 5; 21x – 3y = 10 represents two lines which are
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Q17. If am bl then the system of equations ax + by = c, lx + my = n, has
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Q18. The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have
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Q19. The graph of x = -2 is a line parallel to the
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Q20. Two equations in two variables taken together are called
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21. Graphically, the pair of equations 7x – y = 5; 21x – 3y = 10 represents two lines which are
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22. The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have
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23. If a pair of linear equations is consistent, then the lines will be
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24. The pair of equations x = 0 and x = 5 has
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25. The pair of equation x = – 4 and y = – 5 graphically represents lines which are
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26. One equation of a pair of dependent linear equations is 2x + 5y = 3. The second equation will be
27.
27. If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively
28.
28. The graph of x = -2 is a line parallel to the
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29. The graph of y = 4x is a line
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30. The graph of y = 5 is a line parallel to the
31.
31. Two equations in two variables taken together are called
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32. If am bl then the system of equations ax + by = c, lx + my = n, has
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33. If in the equation x + 2y = 10, the value of y is 6, then the value of x will be
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34. The graph of the equation 2x + 3y = 5 is a
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35. The value of k, for which equations 3x + 5y = 0 and kx + lOy = 0 has a non-zero solution is
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36. The value of k, for which the system of equations x + (k + l)y = 5 and (k + l)x + 9y = 8k – 1 has infinitely many solutions is
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37. The value of k for which the equations (3k + l)x + 3y = 2; (k2 + l)x + (k – 2)y = 5 has no solution, then k is equal to
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38. The pair of equations x = a and y = b graphically represents lines which are
39.
39. Asha has only ₹1 and ₹2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is ₹75, then the number of ₹1 and ₹2 coins are, respectively
40.
40. The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages of the son and the father are, respectively
41.
41. The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reversed. The number is
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42. Graphically, the pair of equations 6x – 3y + 10 = 0 2x – y + 9 = 0
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43. The pair of equations x + 2y – 5 = 0 and −3x – 6y + 15 = 0 have:
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44. If a pair of linear equations is consistent, then the lines will be:
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45. The pair of equations y = 0 and y = –7 has
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46. If the lines given by 3x + 2ky = 2 2x + 5y + 1 = 0 are parallel, then the value of k is
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47. The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is
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48. One equation of a pair of dependent linear equations is –5x + 7y – 2 = 0. The second equation can be
49.
49. Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Then the numbers are:
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50. The solution of the equations x – y = 2 and x + y = 4 is:
51.
51. For which values of a and b, will the following pair of linear equations have infinitely many solutions? x + 2y = 1 (a – b)x + (a + b)y = a + b – 2
