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Problems on Arithmetic Geometric Progressions

Q41. A man arranges to pay off a debt of Rs. 3600 by 40 annual instalments which are in A.P. When 30 of the instalments are paid, he dies leaving one third of the debt unpaid. The value of the 10th instalment is
(a) 55
(b) 57
(c) 63
(d) 69

Q42. Sonia purchases NSC every year whose value exceeds the previous years purchase by Rs. 400. After 8 years, she finds that she has purchased NSC whose total face value is Rs. 48000. What is the face value of the certificates purchased by her in the 1st year ?
(a) 4512
(b) 4550
(c) 4600
(d) 4657

Q43. A man has to pay Rs. 450 in yearly instalments, each instalment being less than the earlier one by Rs. 10. The amount of the fist instalment is Rs. 100. In what time, the entire amount will be paid ?
(a) 3 years
(b) 4 years
(c) 6 years
(d) 7 years

Q44. How many terms there in the A.P 3, 9, 15, 21, ....... 57
(a) 7
(b) 8
(c) 9
(d) 10

Q45. How many terms there in the G.P 3, 9, 27, ....... 729
(a) 5
(b) 6
(c) 7
(d) 8

Q46. The 14th term of the A.P 14, 9, 4, -1, -6, ...... is
(a) -5
(b) -32
(c) -51
(d) -59

Q47. The 101 th term of the A.P 4, 4½, 5, 5½, 6, ....... is
(a) 41
(b) 49
(c) 54
(d) 61

Q48. Which term of the A.P 2, 7, 12, 17 ........ is 87
(a) 18
(b) 20
(c) 21
(d) 24

Q49. Find the sum of the series   3 + 7 + 11 + 15 + ......... + 39
(a) 160
(b) 172
(c) 184
(d) 210

Q50. The population of bacteria culture doubles every 2 minutes. How many minutes will it take for the population to grow from 100 to 51200 bacteria
(a) 14
(b) 15
(c) 20
(d) 22


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