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Posted Date: 27 Sep 2008 Posted By: palvir sarao Member Level: Diamond
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2007 ICSE GEOMETRICAL PROGRESSION (G. P.) Question paper
GEOMETRICAL PROGRESSION (G. P.)
TIME: 25 Minutes
No of Questions: 25
1. 8th term of the series 2, 6, 18, 54, …………………….is
a. 1458
b. 4374
c. 13122
d. 2345
2. Find the 4th term of G.P. whose 2nd term is 24 and 5th term is 81.
a. 54
b. 64
c. 89
d. 23
3. Which of the term is 1/128 of the following series:
4, 2, 1, ……………………..
a. 7th term
b. 8th term
c. 9th term
d. 10th term
4. If 1st and 5th term of a G.P. is 16 and 1/16, then 4th term will be
a. 1/2
b. 1/3
c. 1/4
d. 1/5
5. If 4th and 9th term of a G.P. is 8 and 256 respectively, then which of the term is 64?
a. 6th term
b. 7th term
c. 8th term
d. 12th term
6. If the 3rd term is square of the 1st term in a G.P. and 5th term is 64, what is the 1st term?
a. 4
b. 5
c. 6
d. 8
7. The product of 3rd and 8th term of G.P. is 243. If 4th term is 3, 7th term will be
a. 27
b. 81
c. 84
d. 91
8. Which of the term is 81 of the following series:
1, v3, 3, ……………
a. 10th term
b. 8th term
c. 12th term
d. 9th term
9. If 1 + 2 + 22 + ……………..+ 2 n-1 = 255, then value of n is
a. 8
b. 10
c. 12
d. 6
10. What is the sum of following series up to 8 terms?
½ + 1 + 2 + …………………….
a. 125
b. 126.5
c. 127.5
d. 128.5
11. How many terms will have sum of 1023 of series 1 + 2 + 4 + 8 + ………?
a. 9 term
b. 10 term
c. 11 term
d. 12 term
12. Find the sum of following series:
2 + 3/2 + 1 + 5/8 + …………8
a. 9
b. 12
c. 3
d. 6
13. Find the sum of following series up toinfinite:
2/3 + 2/32 + 2/33 + 2/34 + 2/35 + ……………..8
a. 7/8
b. 9/8
c. 11/8
d. 5/8
14. Find the sum of following series up to infinite:
2/5 + 3/52 + 2/53 + 3/54 + 2/55 + 3/56 + …………………8
a. 13/24
b. 5/12
c. 1/2
d. 11/24
15. Find the sum of following series up to infinite:
4/7 – 5/72 + 4/73 – 5/74 + …………………8
a. 13/24
b. 11/24
c. 13/48
d. 23/48
16. Find the sum of following series up to infinite:
a + 1 + 1/a + ……………… 8 (a > 1).
a. a/(a-1)
b. a2/(a-1)
c. a/(a2-1)
d. a2/(a2-1)
17. Which of the term is 729 of following series:
-1/27, 1/9, -1/3, ……………………….
a. 10th term
b. 9th term
c. 12th term
d. 729 is not the term of the series
18. Which of the term is -128 of following series:
1/4, -1/2, 1, ………………………………
a. 10th term
b. 9th term
c. 12th term
d. -128 is not the term of the series
19. If 4th , 7th and 10th term of a G.P. is a, b, c respectively, then
a. b3=ac
b. c2=ab
c. a2=bc
d. b2=ac
20. 8th term of the series 3, .06, .012, …………….. is
a. 3.24/106
b. 3.84/106
c. 3.24/105
d. 3.84/105
21. Find the sum of following series up to 10 terms:
2 – 4 + 8 – 16 + ……………..up to 10 terms.
a. -564
b. -682
c. -584
d. -756
22. Find the sum of the following series up to infinite:
(v2 + 1) + 1 + (v2 – 1) + ……………………..
a. 3/v2
b. 1 + 3/v2
c. 2 + 3/v2
d. 3 + 3/v2
23. Find the 2nd term of that G.P., whose 1st term is 9 and whose sum up to infinite is 27/5.
a. -6
b. -3
c. 4
d. -8
24. Geometric mean of 3 and 27 is
a. ±9
b. ±18
c. ±12
d. ±6
25. Arithmetic Means of two numbers is 17 and geometric mean is 8. The numbers are
a. 8 and 32
b. 4 and 16
c. 4 and 32
d. 2 and 32
ANSWER:
1. B
2. A
3. D
4. C
5. B
6. A
7. B
8. D
9. A
10. C
11. B
12. D
13. B
14. A
15. D
16. B
17. A
18. A
19. D
20. B
21. B
22. C
23. A
24. A
25. D
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