Quantitative Aptitude  AP and GP  Formula & concept Quiz
#  Quiz 

1
Discuss

Formula & concept
The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, the number of terms is
Solution 
2
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Formula & concept
If the 7^{th} term of a H.P. is 1/10 and the 12^{th} term is 1/25, then the 20^{th} term is
Solution 
3
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Formula & concept
If three numbers be in G.P., then their logarithms will be in
Solution 
4
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Formula & concept
If sum of n terms of an A.P. is 3n^{2} + 5n and T^{m} = 164 then m =
Solution 
5
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Formula & concept
The two geometric means between the number 1 and 64 are
Solution 
6
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Formula & concept
If the sum of the series 2 + 5 + 8 + 11 … is 60100, then the number of terms are
Solution 
7
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Formula & concept
Consider an infinite G.P. with first term a and common ratio r, its sum is 4 and the second term is 3/4, then
Solution 
8
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Formula & concept
The sum of the first and third term of an arithmetic progression is 12 and the product of first and second term is 24, then first term is
Solution 
9
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Formula & concept
If a, b, c are in A.P., then (a – c)^{2}/ (b^{2} – ac) =
Solution 
10
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Formula & concept
What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?
Solution 
11
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Formula & concept
How many 2digit positive integers are divisible by 4 or 9?
Solution 
12
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Formula & concept
If log 2, log (2^{x} 1) and log (2^{x} + 3) are in A.P, then x is equal to ___
Solution 
13
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Formula & concept
Find the n^{th} term of the following sequence :
Solution 
14
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Formula & concept
The 2^{nd} and 8^{th} term of an arithmetic progression are 17 and 1 respectively. What is the 14^{th} term?
Solution 
15
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Formula & concept
The 2^{nd} and 6^{th} term of an arithmetic progression are 8 and 20 respectively. What is the 20^{th} term?
Solution 
16
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Formula & concept
The first term of an Arithmetic Progression is 22 and the last term is 11. If the sum is 66, the number of terms in the sequence are:
Solution 
17
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Formula & concept
What is the sum of the first 12 terms of an arithmetic progression if the first term is 19 and last term is 36?
Solution 
18
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Formula & concept
The 3^{rd} and 7^{th} term of an arithmetic progression are 9 and 11 respectively. What is the 15^{th} term?
Solution 
19
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Formula & concept
What is the sum of the first 12 terms of an arithmetic progression if the 3^{rd} term is 13 and the 6^{th} term is 4?
Solution 
20
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Formula & concept
The sum of first five multiples of 3 is:
Solution 
21
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Formula & concept
In an A.P., if d = 4, n = 7, a_{n} = 4, then a is
Solution 
22
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Formula & concept
Which term of the A.P. 92, 88, 84, 80, ...... is 0?
Solution 
23
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Formula & concept
If a + 1, 2a + 1, 4a  1 are in A.P., then the value of a is:
Solution 
24
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Formula & concept
If k, 2k – 1 and 2k + 1 are three consecutive terms of an AP, the value of k is
Solution 
25
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Formula & concept
Let S denotes the sum of n terms of an A.P. whose first term is a. If the common difference d is given by d = S_{n} – k S_{n1} + S_{n2} then k =
Solution 
26
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Formula & concept
The number of terms of the A.P. 3, 7, 11, 15, ....... to be taken so that the sum is 406 is
Solution 
27
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Formula & concept
How many terms are there in 20, 25, 30 . . . . . . 140?
Solution 
28
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Formula & concept
Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.
Solution 
29
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Formula & concept
Find the 15th term of the sequence 20, 15, 10 . . . . .
Solution 
30
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Formula & concept
The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is
Solution 
31
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Formula & concept
How many terms are there in the GP 5, 20, 80, 320........... 20480?
Solution 
32
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Formula & concept
A boy agrees to work at the rate of one rupee on the first day, two rupees on the second day, and four rupees on third day and so on. How much will the boy get if he started working on the 1st of February and finishes on the 20th of February?
Solution 
33
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Formula & concept
If the fifth term of a GP is 81 and first term is 16, what will be the 4th term of the GP?
Solution 
34
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Formula & concept
The 7th and 21st terms of an AP are 6 and 22 respectively. Find the 26th term
Solution 
35
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Formula & concept
After striking the floor, a rubber ball rebounds to 4/5th of the height from which it has fallen. Find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 metres.
Solution 
36
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Formula & concept
A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :
Solution 
37
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Formula & concept
A square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely. If a side of the first square is 4 cm, determine the sum of the areas all the square.
Solution 
38
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Formula & concept
The first term of an Arithmetic Progression is 22 and the last term is 11. If the sum is 66, the number of terms in the sequence are:
Solution 
39
Discuss

Formula & concept
Find the nth term of the following sequence :
Solution 
40
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Formula & concept
The 2nd and 8th term of an arithmetic progression are 17 and 1 respectively. What is the 14th term?
Solution 
41
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Formula & concept
The 2nd and 6th term of an arithmetic progression are 8 and 20 respectively. What is the 20th term?
Solution 
42
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Formula & concept
What is the sum of the first 17 terms of an arithmetic progression if the first term is 20 and last term is 28?
Solution 
43
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Formula & concept
The 4th and 7th term of an arithmetic progression are 11 and 4 respectively. What is the 15th term?
Solution 
44
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Formula & concept
The 3rd and 8th term of an arithmetic progression are 13 and 2 respectively. What is the 14th term?
Solution 
45
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Formula & concept
What is the sum of the first 11 terms of an arithmetic progression if the 3rd term is 1 and the 8th term is 19?
Solution 
46
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Formula & concept
What is the sum of the first 13 terms of an arithmetic progression if the first term is 10 and last term is 26?
Solution 
47
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Formula & concept
What is the sum of the first 12 terms of an arithmetic progression if the first term is 19 and last term is 36?
Solution 
48
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Formula & concept
The 3rd and 7th term of an arithmetic progression are 9 and 11 respectively. What is the 15th term?
Solution 
49
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Formula & concept
If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?
Solution 
50
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Formula & concept
The 3rd and 6th term of an arithmetic progression are 13 and 5 respectively. What is the 11th term?
Solution 
51
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Formula & concept
The 3rd and 9th term of an arithmetic progression are 8 and 10 respectively. What is the 16th term?
Solution 
52
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Formula & concept
What is the sum of the first 9 terms of an arithmetic progression if the first term is 7 and last term is 55?
Solution 
53
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Formula & concept
If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be
Solution 
54
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Formula & concept
The 7th and 12th term of an arithmetic progression are 15 and 5 respectively. What is the 16th term?
Solution 
55
Discuss

Formula & concept
For an A.P. if a25  a20 = 45, then d equals to:
Solution 
56
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Formula & concept
For A.P. T18  T8 = ........ ?
Solution 
57
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Formula & concept
Which term of the A.P. 24, 21, 18, ............ is the first negative term?
Solution 
58
Discuss

Formula & concept
15th term of A.P., x  7, x  2, x + 3, ........ is
Solution 
59
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Formula & concept
If an A.P. has a = 1, tn = 20 and sn = 399, then value of n is :
Solution 
60
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Formula & concept
The sum of first five multiples of 3 is:
Solution 
61
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Formula & concept
(1) + (1 + 1) + (1 + 1 + 1) + ....... + (1 + 1 + 1 + ...... n  1 times) = ......
Solution 
62
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Formula & concept
In an A.P., if d = 4, n = 7, an = 4, then a is
Solution 
63
Discuss

Formula & concept
Which term of the A.P. 92, 88, 84, 80, ...... is 0?
Solution 
64
Discuss

Formula & concept
If a + 1, 2a + 1, 4a  1 are in A.P., then the value of a is:
Solution 
65
Discuss

Formula & concept
A piece of equipment cost a certain factory 6,00,000. If it depreciates in value, 15% the first year, 13.5% the next year, 12% the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost?
Solution 
66
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Formula & concept
What is the sum of the following series? 64, 66, 68, ......, 100
Solution 
67
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Formula & concept
What is the sum of all positive integers up to 1000, which are divisible by 5 and are not divisible by 2?
Solution 
68
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Formula & concept
If the sum of n terms of an A.P. is 3n2 + 5n then which of its terms is 164 ?
Solution 
69
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Formula & concept
The first and last term of an A.P. is a and l respectively. If S is the sum of all the terms of the A.P. and the common difference is given by \(\frac{{{l^2}  {a^2}}}{{k  \left( {l + a} \right)}}\) then k = ?
Solution 
70
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Formula & concept
If Sn denote the sum of the first n terms of an A.P. If S2n = 3Sn , then S3n : Sn is equal to
Solution 
71
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Formula & concept
Sum of n terms of the series \(\sqrt 2 Â + Â \sqrt 8 Â + Â \sqrt {18} Â + Â \sqrt {32} Â + Â \) ....... is
Solution 
72
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Formula & concept
If the sums of n terms of two arithmetic progressions are in the ratio \(\frac{{3n + 5}}{{5n + 7}}\) then their nth terms are in the ration
Solution 
73
Discuss

Formula & concept
If 18, a, b  3 are in A.P. then a + b =
Solution 
74
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Formula & concept
If 18th and 11th term of an A.P. are in the ratio 3 : 2, then its 21st and 5th terms are in the ratio
Solution 
75
Discuss

Formula & concept
If k, 2k â€“ 1 and 2k + 1 are three consecutive terms of an AP, the value of k is
Solution 
76
Discuss

Formula & concept
Two A.P.â€™s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30th terms is
Solution 
77
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Formula & concept
If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is
Solution 
78
Discuss

Formula & concept
The common difference of the A.P. \(\frac{1}{{2b}} \frac{{1  6b}}{{2b}} Â \frac{{1  12b}}{{2b}}\) . . . . . is
Solution 
79
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Formula & concept
If the sum of n terms of an A.P. be 3n2 + n and its common difference is 6, then its first term is
Solution 
80
Discuss

Formula & concept
If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are
Solution 
81
Discuss

Formula & concept
If S1 is the sum of an arithmetic progression of ‘n’ odd number of terms and S2 is the sum of the terms of the series in odd places, then \(\frac{{{S_1}}}{{{S_2}}}\)
Solution 
82
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Formula & concept
If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 term is
Solution 
83
Discuss

Formula & concept
The nth term of an A.P., the sum of whose n terms is Sn, is
Solution 
84
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Formula & concept
The sum of first n odd natural numbers in
Solution 
85
Discuss

Formula & concept
The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its
Solution 
86
Discuss

Formula & concept
The common difference of the A.P. \(\frac{1}{3}, \frac{{1  3b}}{3} ,Â \frac{{1  6b}}{3}\) . . . . . . is
Solution 
87
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Formula & concept
If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of (p + q) terms will be
Solution 
88
Discuss

Formula & concept
If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is :
Solution 
#  Quiz 