This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Arithmetic Progressions > Class 10 Maths Chapter 5 Arithmetic Progressions – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 5 Arithmetic Progressions Quiz 3 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The n $^{th }$term of an AP is given by a $_{n }$= 5-2n $^{2}$Will it form an AP? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 2. The next two terms of the sequence 4, 7, 10, 13 are ..... A) 16 and 19. B) 15 and 19. C) 16 and 18. D) 15 and 18. Show Answer Correct Answer: A) 16 and 19. 3. Choose the correct answer from the given four options:The 21st term of the AP whose first two terms are-3 and 4 is A) 17. B) 127. C) 137. D) -137. Show Answer Correct Answer: C) 137. 4. The sum of first n odd natural numbers is ..... A) N$^{2}$-1. B) N$^{2}$. C) 2n+1. D) 2 n-1. Show Answer Correct Answer: B) N$^{2}$. 5. The sum of first 'n' terms of an AP is (3n$^{2}$+6n). The common difference of the AP is ..... A) 6. B) -3. C) 15. D) 9. Show Answer Correct Answer: A) 6. 6. Which term of the AP:21, 42, 63, 84, ..... is 210? A) 12$^{th }$. B) 10$^{th}$. C) 9$^{th}$. D) 11$^{th}$. Show Answer Correct Answer: B) 10$^{th}$. 7. The sum of the first 11$^{th}$ term of an AP is 120, and the sum of the first 12$^{th}$ term is 132. Find the value of the 12$^{th}$ term. A) -32. B) 32. C) -12. D) 12. Show Answer Correct Answer: D) 12. 8. The salary of Reena in 1st year, 2nd year, 3rd year, 4th year with a starting salary of Rs.8000 with an annual increment of Rs.500. What will be her salary in the 7th year A) 10, 500. B) 11, 000. C) 11, 500. D) 10, 000. Show Answer Correct Answer: B) 11, 000. 9. The famous mathematician associated with finding the sum of the first 100 natural numbers is A) Pythagoras. B) Euclid. C) Newton. D) Gauss. Show Answer Correct Answer: D) Gauss. 10. The 5$^{th}$ term of an AP is-3 and its common difference is-4. The sum of its first 10 terms is ..... A) 30. B) -50. C) 50. D) -30. Show Answer Correct Answer: B) -50. 11. Kavya, Avyaan, and Rahul are playing a game of 'Mathematical Treasure Hunt'. They found a clue that reads:'Find the nth term of an arithmetic progression'. They are puzzled about what 'd' represents in the formula. Can you help them? A) It's the sum of terms. B) It's the first term. C) It's the common difference. D) It's the number of terms. Show Answer Correct Answer: C) It's the common difference. 12. Which term of the sequence-, 3, 7, 11, ..... is 95? A) 25. B) 15. C) 20. D) 10. Show Answer Correct Answer: A) 25. 13. If 5 times the 5$^{th}$ term of an A.P is equal to 10 times its 10t$^{h}$ term, then its 15$^{th}$ term A) -1. B) 2. C) 0. D) 1. Show Answer Correct Answer: C) 0. 14. Vanya, Neha, and Nikita are playing a game of numbers. They are trying to find the sum of the first 5 terms in the arithmetic progression:2, 5, 8, ..... Can you help them out? A) 30. B) 20. C) 25. D) 35. Show Answer Correct Answer: C) 25. 15. The first four terms of an Arithmetic Progression whose first term is-2 and the common difference is-2 is ..... A) -2, 4, -8, 16. B) -2, -4, -9, -16. C) -2, -4, -6, -8. D) -2, 0, 2, 4. Show Answer Correct Answer: C) -2, -4, -6, -8. 16. Which term of the A.P4, 9, 14, ..... is 254? A) 51$^{st}$. B) 53$^{rd}$. C) 52$^{nd}$. D) 50$^{th}$. Show Answer Correct Answer: A) 51$^{st}$. 17. Aanya, Tara, and Saisha are in a race. They are trying to figure out their positions at any given point in time. They realize it follows an arithmetic progression. In the formula for the nth term of an arithmetic progression, what does 'a' represent? A) The position where Aanya started. B) The difference between Tara's and Saisha's positions. C) The total number of positions. D) The sum of all their positions. Show Answer Correct Answer: A) The position where Aanya started. 18. What term of the ap 4, 9, 14, 19, ..... is 109?/ 109 This parallel is 4, 9, 14, 19, ..... what is the word? A) 26. B) 16. C) 22. D) 14. Show Answer Correct Answer: C) 22. 19. If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be A) 7. B) 18. C) 11. D) 0. Show Answer Correct Answer: D) 0. 20. If 17th term of an A.P. exceeds its 10th term by 7. The common difference is: A) 2. B) 3. C) 4. D) 1. Show Answer Correct Answer: D) 1. 21. The sum of first 10 multiples of 7 is A) 385. B) 315. C) 371. D) 406. Show Answer Correct Answer: A) 385. 22. The nth term in an AP is A) A-(n-1)d. B) A+(n+1)d. C) A+(n)d. D) A+(n-1)d. Show Answer Correct Answer: D) A+(n-1)d. 23. Which terms of the AP 5, 9, 13, 17, ..... is 81? A) 21th. B) 19th. C) 20th. D) 18th. Show Answer Correct Answer: C) 20th. 24. What is the 10th term of the sequence an = 20-2n A) 40. B) 0. C) -20. D) 7. Show Answer Correct Answer: B) 0. 25. The first three terms of an AP are-2, -4, -6, ..... Find the sum of the 25 terms after the 3$^{rd}$ term. A) -788. B) -800. C) -650. D) -812. Show Answer Correct Answer: B) -800. 26. Sn = 1 +2 +3+ ..... +999how many terms are there A) 999. B) 1000. C) All the above. D) None of the above. Show Answer Correct Answer: A) 999. 27. Which of the following is not an Arithmetic Progression? A) 11, 14, 17, 20, . B) 3, 7, 12, 16, . C) -5, -2, 1, 4, . D) 1, 4, 7, 10, . Show Answer Correct Answer: B) 3, 7, 12, 16, . 28. Create the explicit formula for the sequence:2, 8, 14, ..... A) A$_{n}$=2+6n. B) A$_{n}$=4-6n. C) A$_{n}$=-6+6n. D) A$_{n}$=6n-4. Show Answer Correct Answer: D) A$_{n}$=6n-4. 29. Choose the correct answer from the given four options:The 10th term of the AP:5, 8, 11, 14, ..... is A) 32. B) 25. C) 38. D) 35. Show Answer Correct Answer: A) 32. 30. What is the 15th term of the sequence an =-3n+50 A) -5. B) 95. C) 5. D) -95. Show Answer Correct Answer: C) 5. 31. If p, q, r and s are in A.P. then r-q is A) S-p. B) S-q. C) S-r. D) None of these. Show Answer Correct Answer: C) S-r. 32. Find 10th Term Was 5th Term is 24 And Difference Betwayen 7th Term and 10th Term is 15 / Fifth word for the parallel row is the 24th and the seventh and the tenth word difference is 15 but the tenth word is the price? A) 44. B) 49. C) 39. D) 34. Show Answer Correct Answer: B) 49. 33. If 7$^{th }$and 13$^{th }$term of an A.P be 34 and 64 respectively, then its 19$^{th}$ term is A) 360. B) 86. C) 94. D) None of these. Show Answer Correct Answer: C) 94. 34. H term of the A.P.-3, -1/2, , 2 ..... Is A) -38. B) 22. C) -48. D) 28. Show Answer Correct Answer: B) 22. 35. The next term of the sequence 2, 4, 8, 16 is A) 64. B) 20. C) 108. D) 32. Show Answer Correct Answer: D) 32. 36. Which term of the A.P. 3, 8, 13, 18, ..... is 78? A) 12th. B) 16th. C) 13th. D) 15th. Show Answer Correct Answer: B) 16th. 37. Is the sequence arithmetic:78, 785, 7855, 78555, ..... A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 38. The n$^{th}$ term of an A.P. is given by a$_{n}$ = 3 + 4n. The common difference is(a) 7(b) 3(c) 4(d) 1 A) A. B) C. C) D. D) B. Show Answer Correct Answer: B) C. 39. Find the sum of the following AP-37, -33, -29, ..... to 12 terms A) -200. B) -160. C) -120. D) -180. Show Answer Correct Answer: D) -180. 40. The common difference of the Arithmetic Progression 0.2, -0.3, -0.8, ..... is A) 0.3. B) -0.2. C) -0.5. D) 0.5. Show Answer Correct Answer: C) -0.5. 41. If the Third Term of An ap is 12 and the seventh term is 24, then the 10th term is / the third word for the parallel is 12 and the seventh word is 24 but the tenth word is the price? A) 33. B) 35. C) 34. D) 36. Show Answer Correct Answer: A) 33. 42. The 4th term from the end of the AP:-11, -8, -5, ..... , 49 is A) 40. B) 37. C) 58. D) 43. Show Answer Correct Answer: A) 40. 43. The sum of first q terms of an AP is $\left(63q^2-3q^2\right)$ A) P=1. B) P=21. C) P=28. D) P=2. Show Answer Correct Answer: B) P=21. 44. The preceeding term of 13 in an Arithmetic progression 13, 10, 7 ..... Is A) 12. B) 15. C) 16. D) 17. Show Answer Correct Answer: C) 16. 45. In an Arithmetic Progression, common difference d = 3, then t$_{5}$-$_{}$t$_{7}$ is equal to ..... A) -6. B) -2. C) 2. D) 6. Show Answer Correct Answer: A) -6. 46. How many three digit numbers are divisible by 7? A) 118. B) 128. C) 138. D) 148. Show Answer Correct Answer: B) 128. 47. The common difference of the AP $\frac{1}{p}$ $\frac{1-p}{p}$ $\frac{1-2p}{p}$ A) -p. B) P. C) 1. D) -1. Show Answer Correct Answer: D) -1. 48. The sum of first 20 odd natural numbers is A) 281. B) 285. C) 421. D) 400. Show Answer Correct Answer: D) 400. 49. Given that $T_n=8-3n$ A) 24. B) -3. C) 3. D) None of the above. Show Answer Correct Answer: B) -3. 50. Neha, Avni, and Ishika are in a race to solve a math problem. They are trying to find the formula for the nth term of an arithmetic progression. Can you beat them to it? A) A n = a + people. B) A n = a + (n + 1)d. C) A n = a + (n-1)d. D) A n = a + (n-2)d. Show Answer Correct Answer: C) A n = a + (n-1)d. 51. The first positive term of the A.P $-11, \-8, \-5\, \ ..... $ A) 3. B) 1. C) $-2$. D) $-4$. Show Answer Correct Answer: B) 1. 52. The sum of first 24 terms $_{ }$of an A.P, a$_{1}$, a$_{2}$, a$_{3 }$ ..... a$_{24}$, if giventhat a$_{1}$+a$_{5}$+a$_{10}$+a$_{15}$+a$_{20}$+a$_{24}$ =225 A) 1000. B) 900. C) 500. D) 800. Show Answer Correct Answer: B) 900. 53. If 4, x$_{1}$, x$_{2}$, x$_{3}$, 28 are in AP then x$_{3}$ is ..... A) Cannot be determined. B) 19. C) 22. D) 23. Show Answer Correct Answer: C) 22. 54. What is the first positive term of the sequence:-9, -5, -1, ..... A) 3. B) 5. C) 1. D) 4. Show Answer Correct Answer: A) 3. 55. How many terms of the AP 2, 7, 12, ..... will add up to 156? A) 10. B) 8. C) 9. D) 7. Show Answer Correct Answer: B) 8. 56. 8, 11, ..... find the common difference (d)$_{}$ A) 3. B) -3. C) All the above. D) None of the above. Show Answer Correct Answer: A) 3. 57. Which term of the AP is 4, 9, 14, ..... Is 109? A) 24. B) 21. C) 23. D) 22. Show Answer Correct Answer: D) 22. 58. The Common difference of the A.P whose general term is $a_n$ A) 1. B) 2. C) $-2$. D) $-1$. Show Answer Correct Answer: B) 2. 59. Find n if the given value if x is the n$^{th}$ term of the given AP-1, -3, -5, -7, ..... x=-151 A) 67. B) 45. C) 65. D) 76. Show Answer Correct Answer: D) 76. 60. For an AP, a =-18.9, d = 2.5, nth term = 3.6n =? A) 7. B) 10. C) 9. D) 8. Show Answer Correct Answer: B) 10. ← PreviousNext →Related QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 5 Arithmetic Progressions Quiz 1Class 10 Maths Chapter 5 Arithmetic Progressions Quiz 2Class 10 Maths Chapter 5 Arithmetic Progressions Quiz 4 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books