This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 5 Arithmetic Progressions β Quiz 2 π Homepage π Download PDF Books π Premium PDF Books Class 10 Maths Chapter 5 Arithmetic Progressions Quiz 2 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find the sum of 2+4+6+ ..... +200 A) 108. B) 10100. C) 40703. D) -8930. Show Answer Correct Answer: B) 10100. 2. The number of multiples of 4 between 10 and 250 is: A) 50. B) 40. C) 60. D) 30. Show Answer Correct Answer: C) 60. 3. If the common difference of an AP is 5, then what is a$_{18}$-a$_{13}$? A) 5. B) 15. C) 25. D) 10. Show Answer Correct Answer: C) 25. 4. Find the sum of 12 terms of an A.P. whose nth term is given by an = 3n + 4 A) 262. B) 272. C) 282. D) 292. Show Answer Correct Answer: A) 262. 5. What is the common difference of an AP in which a$_{18}$-a$_{14}$ = 32? A) 4. B) 6. C) 8. D) 10. Show Answer Correct Answer: C) 8. 6. 30th term of the AP:10, 7, 4, ..... is A) 97. B) -87. C) -77. D) 77. Show Answer Correct Answer: C) -77. 7. 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. 8. Find the 22nd term. a$_{1}$=10, d=5 A) 115. B) 200. C) 10. D) 220. Show Answer Correct Answer: A) 115. 9. How many of the words are divided by 5 in natural numbers from 5?/ 1 to 1000? A) 197. B) 198. C) 199. D) 200. Show Answer Correct Answer: C) 199. 10. 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. 11. 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. 12. Choose the correct answer from the given four options:In an AP, if d =-4, n = 7, a$_{n}$ = 4, then a is A) 6. B) 7. C) 20. D) 28. Show Answer Correct Answer: D) 28. 13. The 11$^{th}$ term from the last of the A.P 10, 7, 4, ..... -62 is A) -35. B) -34. C) -33. D) -32. Show Answer Correct Answer: D) -32. 14. 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. 15. 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: D) $T_n=a+\left(n-1\right)d$. 16. Find the 32nd term of this sequence.34, 37, 40, 43, ..... A) 32. B) 64. C) 127. D) 356. Show Answer Correct Answer: C) 127. 17. The next term of an AP $\sqrt{7}$ $\sqrt{28}$ $\sqrt{63}$ A) $\sqrt{70}$. B) $\sqrt{84}$. C) $\sqrt{98}$. D) $\sqrt{112}$. Show Answer Correct Answer: D) $\sqrt{112}$. 18. 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. 19. Given the AP 4, p, q, r, ..... with a common difference of-2, determine the value of r. A) R = 0. B) R = 1. C) R =-2. D) R =-4. Show Answer Correct Answer: C) R =-2. 20. An Arithmetic progression among the following is A) 16, 8, 4, 2, . B) 0, 3, 6, 10, . C) 5, 8, 12, . D) 10, 7, 4, 1, . Show Answer Correct Answer: D) 10, 7, 4, 1, . 21. 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. 22. 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. 23. 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 denominator. B) Common opposites. C) Common domain. D) Common difference. Show Answer Correct Answer: D) Common difference. 24. Find the number terms in the following AP:7, 13, 19, ..... , 205 A) 31. B) 32. C) 33. D) 34. Show Answer Correct Answer: D) 34. 25. 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) 210. B) 225. C) 240. D) 255. 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