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Arithmetic Ability
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Quiz 1
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Q.1
The sum of n terms of an A.P. is 3n
2
+ 5n, then 164 is its
24
th
term
27
th
term
26
th
term
25
th
term
Q.2
The common difference of the A.P. $$\frac{1}{3},$$ $$\frac{{1 - 3b}}{3},$$ $$\frac{{1 - 6b}}{3},$$ . . . . . . is
$$\frac{1}{3}$$
$$ - \frac{1}{3}$$
$$ - b$$
$$b$$
Q.3
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
5, 10, 15, 20
4, 10, 16, 22
3, 7, 11, 15
None of these
Q.4
If S
1
is the sum of an arithmetic progression of ‘n’ odd number of terms and S
2
is the sum of the terms of the series in odd places, then $$\frac{{{S_1}}}{{{S_2}}}$$
$$\frac{{2n}}{{n + 1}}$$
$$\frac{n}{{n + 1}}$$
$$\frac{{n + 1}}{{2n}}$$
$$\frac{{n - 1}}{n}$$
Q.5
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
0
p - q
p + q
-(p + q)
Q.6
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 :
13
9
21
17
Q.7
The sum of first five multiples of 3 is:
45
65
75
90
Q.8
(1) + (1 + 1) + (1 + 1 + 1) + ....... + (1 + 1 + 1 + ...... n - 1 times) = ......
$$\frac{{n\left( {n + 1} \right)}}{2}$$
$$\frac{{n\left( {n - 1} \right)}}{2}$$
$${n^2}$$
$$n$$
Q.9
If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 term is
3200
1600
200
2800
Q.10
The n
th
term of an A.P., the sum of whose n terms is S
n
, is
S
n
+ S
n - 1
S
n
- S
n - 1
S
n
+ S
n + 1
S
n
- S
n + 1
Q.11
For an A.P. if a
25
- a
20
= 45, then d equals to:
9
-9
18
23
Q.12
If the first, second and last term of an A.P. are a, b and 2a respectively, its sum is
$$\frac{{ab}}{{2\left( {b - a} \right)}}$$
$$\frac{{ab}}{{b - a}}$$
$$\frac{{3ab}}{{2\left( {b - a} \right)}}$$
None of these
Q.13
In an A.P., if d = -4, n = 7, a
n
= 4, then a is
6
7
20
28
Q.14
Which term of the A.P. 92, 88, 84, 80, ...... is 0?
23
32
22
24
Q.15
If a + 1, 2a + 1, 4a - 1 are in A.P., then the value of a is:
1
2
3
4
Q.16
The sum of first n odd natural numbers in
2n - 1
2n + 1
n
2
n
2
- 1
Q.17
For A.P. T
18
- T
8
= ........ ?
d
10d
26d
2d
Q.18
Which term of the A.P. 24, 21, 18, ............ is the first negative term?
8
th
9
th
10
th
12
th
Q.19
15
th
term of A.P., x - 7, x - 2, x + 3, ........ is
x + 63
x + 73
x + 83
x + 53
Q.20
If an A.P. has a = 1, t
n
= 20 and s
n
= 399, then value of n is :
20
32
38
40
0 h : 0 m : 1 s
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