This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Arithmetic Progressions > Class 10 Maths Chapter 5 Arithmetic Progressions – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 5 Arithmetic Progressions Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The number of terms in the A.P 2, 5, 8, ..... 59 is A) 12. B) 19. C) 25. D) 20. Show Answer Correct Answer: D) 20. 2. Find the 25th term of the sequence if a$_{1}$ = 5 and d = 0.5 A) 14. B) 17. C) 15. D) 18. Show Answer Correct Answer: B) 17. 3. If the first term of an AP is 2 and c.d is 4, then the sum of 40 terms is A) 1600. B) 3200. C) 200. D) 2800. Show Answer Correct Answer: B) 3200. 4. If the first term of an AP is 2 and common difference is 4, then the sum of its 40 terms is A) 1600. B) 200. C) 2800. D) 3200. Show Answer Correct Answer: D) 3200. 5. If the sum of n terms of an A.P is 3n$^{2}$ +5n, then which of its term is 164? A) 29$^{th}$. B) 27$^{th}$. C) 26$^{th}$. D) 28$^{th}$. Show Answer Correct Answer: B) 27$^{th}$. 6. A sum of Rs 5000 is invested at 8% simple interest per annum. Calculate the interest at the end of 2nd year A) Rs 850. B) Rs 1000. C) Rs 900. D) Rs 800. Show Answer Correct Answer: D) Rs 800. 7. The first term and common difference for the A.P. 3, 1, -1, -3 is: A) 1 and 3. B) -1 and 3. C) 3 and-2. D) 2 and 3. Show Answer Correct Answer: C) 3 and-2. 8. Find the 26th term in the arithmetic sequence:20, 26, 32, 38, ..... A) -118. B) 170. C) 176. D) 182. Show Answer Correct Answer: B) 170. 9. -2, -5, -8, -11, ..... find the T$_{6}$ (term no.6)$_{}$ A) T$_{6}$ =-14. B) T$_{6}$ =-17. C) All the above. D) None of the above. Show Answer Correct Answer: B) T$_{6}$ =-17. 10. The four terms an AP whose first term is-2 and the common difference is-2 are A) -2, 4, -8, 16. B) -2, -4, -6, -8. C) -2, 0, 2, 4. D) -2, -4, -8, -16. Show Answer Correct Answer: B) -2, -4, -6, -8. 11. The sum of first 100 natural number is A) 5500. B) 1010. C) 5005. D) 5050. Show Answer Correct Answer: D) 5050. 12. If a=10 and d=10, then first four terms will be: A) 10, 18, 20, 30. B) 10, 30, 50, 60. C) 10, 15, 20, 25. D) 10, 20, 30, 40. Show Answer Correct Answer: D) 10, 20, 30, 40. 13. If a, a-2 and 3a are in ap, then the value of a, a, a-2 and 3a is the price of a? A) -2. B) 2. C) -3. D) 3. Show Answer Correct Answer: B) 2. 14. What is the sum of the terms?1, 7, 13, 19, 25, 31, 37 A) 123. B) 133. C) 266. D) None of the above. Show Answer Correct Answer: B) 133. 15. If the situation given below involve AP or notThe amount of money in the account every year, when ₹ 10000 is deposited at compound interest at 8 % per annum. A) Can't say. B) Yes. C) No. D) Data insufficient. Show Answer Correct Answer: C) No. 16. The 17th term of an AP exceeds its 10th term by 7. Find the common difference A) 3. B) 1. C) 2. D) 4. Show Answer Correct Answer: B) 1. 17. The first and last terms of an AP are 1 and 11. If the sum of its terms is 36, then the number of terms will be ..... A) 5. B) 8. C) 6. D) 7. Show Answer Correct Answer: C) 6. 18. If the first term of an AP is-5 and the common difference is 2, then the sum of the first 6 terms is A) -5. B) 10. C) 20. D) 0. Show Answer Correct Answer: D) 0. 19. The sum of all two digit odd numbers is A) 2524. B) 2575. C) 2475. D) 2425. Show Answer Correct Answer: C) 2475. 20. Find the next three terms in the arithmetic sequence:-33, -24, -15, -6, ..... A) 3, 12, 21. B) -1, 7, 15. C) -65, -73, -81. D) -5, 2, 9. Show Answer Correct Answer: A) 3, 12, 21. 21. The number of terms of an AP 3, 7, 11, 15 to be taken so that the sum is 406 is A) 12. B) 14. C) 5. D) 10. Show Answer Correct Answer: B) 14. 22. Find the number of all three digit natural numbers which are divisible by 9 A) 96. B) 50. C) 105. D) 100. Show Answer Correct Answer: D) 100. 23. If $4, x_1, x_2, x_3, 28$ $x_3=?$ A) 22. B) 23. C) 21. D) 19. Show Answer Correct Answer: A) 22. 24. In the following AP'S find the missing term: ..... , 13, ..... , 3 A) 8, 18. B) 18, 8. C) 16, 6. D) 6, 16. Show Answer Correct Answer: B) 18, 8. 25. In AP 2, x, 26, value of x is ..... A) 14. B) 13. C) 12. D) -13. Show Answer Correct Answer: A) 14. 26. Find the sum of 2+4+6+ ..... +200 A) -8930. B) 40703. C) 10100. D) 108. Show Answer Correct Answer: C) 10100. 27. The number of multiples of 4 between 10 and 250 is: A) 60. B) 40. C) 50. D) 30. Show Answer Correct Answer: A) 60. 28. If the common difference of an AP is 5, then what is a$_{18}$-a$_{13}$? A) 15. B) 25. C) 10. D) 5. Show Answer Correct Answer: B) 25. 29. Find the sum of 12 terms of an A.P. whose nth term is given by an = 3n + 4 A) 272. B) 282. C) 292. D) 262. Show Answer Correct Answer: D) 262. 30. What is the common difference of an AP in which a$_{18}$-a$_{14}$ = 32? A) 6. B) 4. C) 10. D) 8. Show Answer Correct Answer: D) 8. 31. 30th term of the AP:10, 7, 4, ..... is A) 77. B) 97. C) -77. D) -87. Show Answer Correct Answer: C) -77. 32. Ishika, Akhil, and Sneha are racing to solve a math problem. They are trying to find the nth term of an arithmetic progression. Can you help them figure out what 'n' represents in the formula? A) The first term that Ishika suggested. B) The common difference that Akhil thought of. C) The number of terms Sneha counted. D) The sum of terms they all calculated. Show Answer Correct Answer: C) The number of terms Sneha counted. 33. Find the 22nd term. a$_{1}$=10, d=5 A) 115. B) 220. C) 10. D) 200. Show Answer Correct Answer: A) 115. 34. How many of the words are divided by 5 in natural numbers from 5?/ 1 to 1000? A) 199. B) 198. C) 197. D) 200. Show Answer Correct Answer: A) 199. 35. Check whether-150 is a term of the AP11, 8, 5, 2 ..... A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 36. Given that $T_2=3$ $T_{17}=54$ A) 40. B) -4. C) -0.4. D) None of the above. Show Answer Correct Answer: C) -0.4. 37. Choose the correct answer from the given four options:In an AP, if d =-4, n = 7, a$_{n}$ = 4, then a is A) 28. B) 6. C) 7. D) 20. Show Answer Correct Answer: A) 28. 38. The 11$^{th}$ term from the last of the A.P 10, 7, 4, ..... -62 is A) -32. B) -35. C) -34. D) -33. Show Answer Correct Answer: A) -32. 39. Say 'TRUE' or 'FALSE'The sequence 1$^{3}$, 2$^{3}$, 3$^{3}$, ..... is an Arithmetic Progression A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 40. What is the formula for finding the value of the $n^{th}$ A) $T_n=a-\left(n+1\right)d$. B) $T_n=d+\left(n-1\right)a$. C) $T_n=a+\left(n-1\right)d$. D) $T_n=a+\left(n+1\right)d$. Show Answer Correct Answer: C) $T_n=a+\left(n-1\right)d$. 41. Find the 32nd term of this sequence.34, 37, 40, 43, ..... A) 32. B) 127. C) 64. D) 356. Show Answer Correct Answer: B) 127. 42. The next term of an AP $\sqrt{7}$ $\sqrt{28}$ $\sqrt{63}$ A) $\sqrt{98}$. B) $\sqrt{112}$. C) $\sqrt{70}$. D) $\sqrt{84}$. Show Answer Correct Answer: B) $\sqrt{112}$. 43. Is the a, (2a+1), (3a+2), (4a+3), ..... sequence an AP? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 44. Given the AP 4, p, q, r, ..... with a common difference of-2, determine the value of r. A) R =-2. B) R = 1. C) R =-4. D) R = 0. Show Answer Correct Answer: A) R =-2. 45. An Arithmetic progression among the following is A) 16, 8, 4, 2, . B) 10, 7, 4, 1, . C) 0, 3, 6, 10, . D) 5, 8, 12, . Show Answer Correct Answer: B) 10, 7, 4, 1, . 46. Find a, b and c if it is given that the numbers a, 7, b, 23, c are in AP A) A=-1, b=15 and c=30. B) A=-1, b=15 and c=31. C) A=-1, b=15 and c=32. D) A=-1, b=15 and c=33. Show Answer Correct Answer: B) A=-1, b=15 and c=31. 47. Find the 9th term in the sequence 9, 5, 1, ..... A) -27. B) 25. C) -23. D) None of the above. Show Answer Correct Answer: C) -23. 48. What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence? A) Common difference. B) Common domain. C) Common opposites. D) Common denominator. Show Answer Correct Answer: A) Common difference. 49. Find the number terms in the following AP:7, 13, 19, ..... , 205 A) 33. B) 31. C) 32. D) 34. Show Answer Correct Answer: D) 34. 50. Mira, Dhruv, and Sneha are playing a game of hopscotch. The pattern of their game follows an arithmetic progression:2, 4, 6, ..... If they continue this pattern for the first 15 hops, can you help them figure out the total number of hops they would have made? A) 240. B) 255. C) 225. D) 210. Show Answer Correct Answer: A) 240. 51. To determine whether a sequence of numbers is an Arithmetic Progression, you can conduct a test on A) $T_1-T_2=T_3-T_2$. B) $T_2-T_1=T_3-T_1$. C) $T_2-T_1=T_2-T_3$. D) $T_2-T_1=T_4-T_3$. Show Answer Correct Answer: D) $T_2-T_1=T_4-T_3$. 52. In an AP if a = 1, an = 20 and Sn = 399, then n is A) 21. B) 18. C) 38. D) 20. Show Answer Correct Answer: C) 38. 53. If the first term 'a' in an AP is 6 and the common difference 'd' is 3, then the AP is A) 6, 3, 0, -3 . B) 3, 6, 9, 12 . C) 6, 9, 12, 15 . D) None is correct. Show Answer Correct Answer: C) 6, 9, 12, 15 . 54. If p-1, p + 3, 3p-1 are in ap, then p is equal to / p-1, p + 3, 3p-1 A) -4. B) 2. C) 4. D) -2. Show Answer Correct Answer: C) 4. 55. Write first four terms of the AP when the first term is-2 and the common difference is 0 A) -2, 0, 2, 4. B) -2, -4, -6, -8. C) -2, -2, -2, -2. D) None of the above. Show Answer Correct Answer: C) -2, -2, -2, -2. 56. In an Arithmetic Progression, if a=28, d=-4, n=7, then an is: A) 4. B) 3. C) 7. D) 5. Show Answer Correct Answer: A) 4. 57. Kavya, Viaan, and Vanya are having a debate. Kavya thinks that the common difference in an arithmetic progression can be negative, but Viaan and Vanya aren't sure. Who do you think is correct? A) Kavya (Yes). B) Vianan And Vanya (NO). C) All the above. D) None of the above. Show Answer Correct Answer: A) Kavya (Yes). 58. Find the common difference if a=-18, n-10 and a$_{n}$=0 A) 4. B) 1. C) 2. D) 3. Show Answer Correct Answer: C) 2. 59. The nth term of an A.P. is given by an = 3 + 4n. The common difference is A) 3. B) 4. C) 7. D) 1. Show Answer Correct Answer: B) 4. 60. The 4th term from the end of the A.P ..... , 2, 5, 8, ..... , 35 is A) 20. B) 23. C) 29. D) 26. Show Answer Correct Answer: D) 26. Next →Related QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 5 Arithmetic Progressions Quiz 2Class 10 Maths Chapter 5 Arithmetic Progressions Quiz 3Class 10 Maths Chapter 5 Arithmetic Progressions Quiz 4 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books