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| Coverage : The GMAT Practice test - Math - Series(A.P) has been designed to test the important concepts and skills related to arithmetic progression. The test covers important topics like determining series or a particular term in the series, computing the last term in a series or the first term in the series, number of terms lying between two integers, sum of the terms in a series, etc. | | 1. | Write the first three terms of the sequence defined by: Ax = 4x + 2 | | a. | | 2, 6, 10 | | b. | | 6,10, 14 | | c. | | -2, 2, 6 | | d. | | Cannot be determined.
| | | | 2. | What is 15th term of the sequence defined by Ax = [x ( x - 3 )] / ( x + 3) | | a. | | 10 | | b. | | 150 | | c. | | 50 | | d. | | 55/3
| | | | 3. | Let a sequence be defined by: a1 = 2; an = 2an-1 +1; Find the first five terms of the sequence. | | a. | | 2, 10, 18, 26, 34 | | b. | | 2, 6, 10, 14, 18 | | c. | | 2, 8, 14, 20, 26 | | d. | | 2, 5, 11, 23, 47
| | | | 4. | Compute the first four terms of the sequence defined by: An = (-2)n-1 . 2n | | a. | | 2, -8, 32, -128 | | b. | | -2, 6, -24, 96 | | c. | | -2, 8, -16, 32 | | d. | | 2, 4, 2, 4
| | | | 5. | Find the first four terms of the sequence defined by: An = 2n2 - 1 | | a. | | -1, 1, 7, 15 | | b. | | 0, 6, 14, 22 | | c. | | 1, 7, 15, 31 | | d. | | 0, 5, 12, 19
| | | | 6. | Compute the 8th term of the sequence defined by: An = (3n + 6) / (4n -27) | | a. | | 30/ 29 | | b. | | 6 | | c. | | 30 | | d. | | 36/5
| | | | 7. | Compute the next four terms of the A.P: 3, -2, -7, -12, ….. | | a. | | 15, -13, -18, - 23 | | b. | | 12, -17, -22, -27 | | c. | | -17, -22, -27, -32 | | d. | | None of the above
| | | | 8. | Find the nth term of A.P, given: 9, 13, 17, 21, 25. | | a. | | 3n + 6 | | b. | | 2n + 7 | | c. | | 5n + 4 | | d. | | 4n + 5
| | | | 9. | Find the 15th term in the following A.P series. 9, 12, 15, 18, …. | | a. | | 54 | | b. | | 51 | | c. | | 63 | | d. | | 60
| | | | 10. | The first term of an A.P is -5 and the common difference is 6. Find its 14th term. | | a. | | 73 | | b. | | 93 | | c. | | 79 | | d. | | 98
| | | | 11. | Which term of the sequence -1, 1, 3, 5, 7, 9, ….. is 109? | | a. | | 53 | | b. | | 56 | | c. | | 54 | | d. | | 52
| | | | 12. | Determine the total number of terms in the sequence 4, 8, 12, 16, ……., 112 ? | | a. | | 29 | | b. | | 27 | | c. | | 30 | | d. | | 28
| | | | 13. | Given: 10th term of an A.P = 52; 16th term = 82. Determine the 51st term. | | a. | | 282 | | b. | | 252 | | c. | | 257 | | d. | | 287
| | | | 14. | Find the number of integers between 50 and 500 which are divisible by 9. | | a. | | 51 | | b. | | 50 | | c. | | 52 | | d. | | 49
| | | | 15. | How many three digit numbers are divisible by 5? | | a. | | 180 | | b. | | 120 | | c. | | 150 | | d. | | 132
| | | | 16. | Find the sum of first 20 terms of an A.P. whose second term is 6 and the seventh term is 31. | | a. | | 896 | | b. | | 891 | | c. | | 970 | | d. | | 950
| | | | 17. | Find the sum of all natural numbers between 500 and 1000 which are exactly divisible by 8. | | a. | | 47376 | | b. | | 42004 | | c. | | 48422 | | d. | | 46458
| | | | 18. | Write first four terms of the sequence, defined by: An = 2n2 - 3n + 1 | | a. | | 1, 4, 11, 20 | | b. | | 3, 6, 13, 24 | | c. | | 2, 5, 12, 23 | | d. | | 0, 3, 10, 21
| | | | 19. | Compute the 20th term of the sequence defined by: An = (n2 -1) / (n + 1) | | a. | | 119 | | b. | | 19 | | c. | | 133 | | d. | | 399
| | | | 20. | Find the common difference for the following A.P. An = 7n - 5 | | a. | | 5 | | b. | | 2 | | c. | | 7 | | d. | | 9
| | | | 21. | Compute the 13th term of the following A.P. 4, 7, 10, 13, 16, …… | | a. | | 42 | | b. | | 36 | | c. | | 40 | | d. | | 33
| | | | 22. | Given the first term of an A.P. is -4 and the common difference is 6. Find its 11th term. | | a. | | 56 | | b. | | 60 | | c. | | 64 | | d. | | 68
| | | | 23. | How many terms are there in the sequence 9, 18, 27, 36, ……., 999? | | a. | | 110 | | b. | | 100 | | c. | | 101 | | d. | | 111
| | | | 24. | The sum of two numbers in A.P. is -8, and their product is 12. Find the numbers. | | a. | | -6, -2 | | b. | | -4, -4 | | c. | | -3, -5 | | d. | | -3, -4
| | | | 25. | Find the sum of 51 terms of the A.P. 3, 1, -1, -3, -5, ….. | | a. | | -2395 | | b. | | -2397 | | c. | | -2441 | | d. | | -2413
| | | | 26. | Find the sum of all three digit numbers, which are divisible by 6. | | a. | | 81346 | | b. | | 80264 | | c. | | 80006 | | d. | | 82350
| | | | 27. | How many three digit numbers are divisible by 3? | | a. | | 322 | | b. | | 312 | | c. | | 300 | | d. | | 302
| | | | 28. | The nth term of an A.P. sequence is (4n - 4). Find its 12th term. | | a. | | 42 | | b. | | 40 | | c. | | 44 | | d. | | 46
| | | | 29. | Find the common difference in an A.P. sequence defined by (n - 7)? | | a. | | -1 | | b. | | 1 | | c. | | -6 | | d. | | 6
| | | | 30. | : Write the first five terms of the sequence defined by: (2n - 3) / 6 | | a. | | -1/6, 1/6, 1/2, 5/6, 7/6 | | b. | | 1/6, 1/8, 1/10, 1/12, 1/14 | | c. | | 1/6, 1/2, 1/4, 1/6, 1/8 | | d. | | 1/2, 1/4, 1/6, 1/8, 1/10
| | | | 31. | Find the 21st term of the sequence defined by: n2 + 13n + 40 | | a. | | 720 | | b. | | 756 | | c. | | 750 | | d. | | 754
| | | | 32. | Find the 16th term of a sequence defined by: -4n + 15 | | a. | | -1 | | b. | | -49 | | c. | | -60 | | d. | | 79
| | | | 33. | Determine the 20th term from the end of the A.P. 4, 9, 14, ……., 254. | | a. | | 224 | | b. | | 154 | | c. | | 159 | | d. | | 199
| | | | 34. | Find the number of integers between 50 and 250 exactly divisible by 11? | | a. | | 20 | | b. | | 18 | | c. | | 19 | | d. | | 17
| | | | 35. | Find the sum of all odd numbers between 100 and 500 ? | | a. | | 60,000 | | b. | | 59,288 | | c. | | 59,993 | | d. | | 59,925
| | | | 36. | Determine the 12th term from the end of the A.P. 4, 10, 17, 24, …., 283. | | a. | | 204 | | b. | | 207 | | c. | | 200 | | d. | | 206
| | | | 37. | Find the sum of the series: .5 + .51 +.52 + …….. to 50 terms | | a. | | 37.25 | | b. | | 37.52 | | c. | | 37.55 | | d. | | 37.51
| | | | 38. | Determine the 21st term of an A.P. whose 9th term is -6 and common difference is 5/4. | | a. | | -18 | | b. | | 9 | | c. | | -21 | | d. | | -36
| | | | 39. | Find the nth term of the A.P. given by: 0.1, 1.1, 2.1, 3.1, ……… | | a. | | 1.0 – 1.0n | | b. | | 1.0n – 0.9 | | c. | | 1.0n – 1.0 | | d. | | 1.0n + 1.1
| | | | 40. | Which term of the sequence 4, 8, 12, 16, 20 , …….., 440? | | a. | | 120 | | b. | | 102 | | c. | | 108 | | d. | | 110
| | | | 41. | The 12th term of an A.P. is 28 and the 21st term is 55. Find the 91st term. | | a. | | 333 | | b. | | 268 | | c. | | 265 | | d. | | 336
| | | | 42. | The sum of two numbers in A.P. is 2, and their product is -24. Find the numbers. | | a. | | 4, -6 | | b. | | 6, -4 | | c. | | -8, 3 | | d. | | 3, -8
| | | | 43. | Find the sum of all natural numbers between 100 and 1000, which are exactly divisible by 13. | | a. | | 72 | | b. | | 69 | | c. | | 78 | | d. | | 71
| | | | 44. | How many terms of the series: -5, -2, 1, 4 …… be taken so that their sum is 2140? | | a. | | 39 | | b. | | 40 | | c. | | 59 | | d. | | 58
| | | | 45. | Find the sum of all odd integers between 2 and 250 divisible by 3. | | a. | | 5292 | | b. | | 5197 | | c. | | 5196 | | d. | | 5394
| | | | 46. | Find the 21st term of the A.P (x - y)2, (x2 + y2), (x + y)2, …….. | | a. | | (7x +7y)2 | | b. | | (x2 + y2 + 38xy) | | c. | | (9x + 9y)2 | | d. | | (11x +11y)2
| | | | 47. | Compute the 11th term in the following sequence: An = (-1)n.n | | a. | | -1 | | b. | | 1 | | c. | | -11 | | d. | | 11
| | | | 48. | Compute the first five terms of the sequence defined by: (2n - 11) | | a. | | 2, 3, 5, 6, 8 | | b. | | -9, 7, -5, 4, -1 | | c. | | -9, -7, -5, -3, -1 | | d. | | 9, 7, 5, 4, 1
| | | | 49. | Compute the common difference in the following A.P. 1/2, 3/4, 1, 5/4, ….. | | a. | | 1 | | b. | | 1/2 | | c. | | 1/3 | | d. | | 1/4
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What others think about GMAT Practice Test - Math - Series (A.P) | | By: Sridhar on 1/6/2009 | | | Its a really good way to brush up things and informative also. |
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| By: Samantha on 1/5/2009 | | | This is so cool. Even though I really did not know some of the questions, it was still fun! |
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| By: Alice on 1/4/2009 | | | Its a very good Quiz. It rocks my socks!!!!! |
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| By: Kath on 1/3/2009 | |
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| By: Tracy on 1/2/2009 | | | Great test. A nice way to gauge one's knowledge |
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