This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 5 Arithmetic Progressions β Quiz 3 π Homepage π Download PDF Books π Premium PDF Books Class 10 Maths Chapter 5 Arithmetic Progressions Quiz 3 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. 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) $T_2-T_1=T_2-T_3$. C) $T_2-T_1=T_3-T_1$. D) $T_2-T_1=T_4-T_3$. Show Answer Correct Answer: D) $T_2-T_1=T_4-T_3$. 2. In an AP if a = 1, an = 20 and Sn = 399, then n is A) 21. B) 20. C) 38. D) 18. Show Answer Correct Answer: C) 38. 3. 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 . 4. If p-1, p + 3, 3p-1 are in ap, then p is equal to / p-1, p + 3, 3p-1 A) -4. B) 4. C) 2. D) -2. Show Answer Correct Answer: B) 4. 5. 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. 6. In an Arithmetic Progression, if a=28, d=-4, n=7, then an is: A) 4. B) 5. C) 3. D) 7. Show Answer Correct Answer: A) 4. 7. 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). 8. Find the common difference if a=-18, n-10 and a$_{n}$=0 A) 1. B) 2. C) 3. D) 4. Show Answer Correct Answer: B) 2. 9. The nth term of an A.P. is given by an = 3 + 4n. The common difference is A) 7. B) 3. C) 4. D) 1. Show Answer Correct Answer: C) 4. 10. The 4th term from the end of the A.P ..... , 2, 5, 8, ..... , 35 is A) 29. B) 26. C) 23. D) 20. Show Answer Correct Answer: B) 26. 11. Given the AP 5, 8, 11, ..... , which term has the value of 272? A) 88. B) 89. C) 90. D) 91. Show Answer Correct Answer: C) 90. 12. A list of numbers in which each term is obtained by adding a fixed number to the preceding term except the first term is called a ..... A) Arithmetic equation. B) Arithmetic expression. C) Arithmetic Progression. D) Sequence. Show Answer Correct Answer: C) Arithmetic Progression. 13. The sum of first five multiples of 3 is A) 15. B) 30. C) 60. D) 45. Show Answer Correct Answer: D) 45. 14. Choose the correct answer from the given four options:In an AP, if a = 3.5, d = 0, n =101, then a$_{n}$ will be A) 0. B) 3.5. C) -3.5. D) 1. Show Answer Correct Answer: B) 3.5. 15. The sum of all odd integers between 2 and 100 divisible by 3 is(a) 17(b) 867(c) 876(d) 786 A) A. B) B. C) C. D) D. Show Answer Correct Answer: B) B. 16. Find the number of terms in the finite AP7, 13, 19, ..... , 205 A) 33. B) 34. C) 35. D) 36. Show Answer Correct Answer: B) 34. 17. The n$^{th}$ term of an A.P. 5, 2, -1, -4, -7 ..... is A) 2n + 5. B) 2n-5. C) 8-3n. D) 3n-8. Show Answer Correct Answer: C) 8-3n. 18. If 7 times the 7$^{th}$ term of an A.P. is equal to 11 times its 11$^{th}$ term, then 18$^{th}$ term is(a) 18(b) 9(c) 77(d) 0 A) A. B) B. C) C. D) D. Show Answer Correct Answer: D) D. 19. How many natural numbers are there between 200 and 500, which are divisible by 7? A) 42. B) 43. C) 44. D) 45. Show Answer Correct Answer: B) 43. 20. Aashi, Arjun, and Avyaan are having a debate. Aashi thinks that the common difference in an arithmetic progression can be zero, but Arjun and Avyaan aren't sure. Who do you think is correct? A) Soul (yes). B) Arjun & Ayan (no). C) All the above. D) None of the above. Show Answer Correct Answer: A) Soul (yes). 21. 43 is one of the term of the AP ..... 3, 5, 7, ..... determine which term is it A) 19. B) 20. C) 21. D) 22. Show Answer Correct Answer: C) 21. 22. Find the sum of the first 51 terms of the AP whose second term is 2 and fourth terms is 8 A) 3774. B) 3904. C) 2424. D) 2544. Show Answer Correct Answer: A) 3774. 23. Given that-17, -14, -11, ..... , 55, find the number of terms. A) 35. B) 25. C) 30. D) None of the above. Show Answer Correct Answer: B) 25. 24. 3+4+5+6+7+8+9 ..... +97+98+99? A) 5, 950. B) 4, 950. C) 4, 500. D) 4, 750. Show Answer Correct Answer: B) 4, 950. 25. For an APd =-3, n = 18, nth term =-5a =? A) 46. B) -46. C) -56. D) 56. 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