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Arithmetic Ability
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Quiz 3
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Q.1
If 18, a, b - 3 are in A.P. then a + b =
19
7
11
15
Q.2
What is the sum of all positive integers up to 1000, which are divisible by 5 and are not divisible by 2?
10,050
5050
5000
50,000
Q.3
If the sum of n terms of an A.P. is 3n
^{2}
+ 5n then which of its terms is 164 ?
26
^{th}
27
^{th}
28
^{th}
None of these
Q.4
What is the sum of the first 13 terms of an arithmetic progression if the first term is -10 and last term is 26?
104
140
84
98
Q.5
If 18
^{th}
and 11
^{th}
term of an A.P. are in the ratio 3 : 2, then its 21
^{st}
and 5
^{th}
terms are in the ratio
3 : 2
3 : 1
1 : 3
2 : 3
Q.6
The first and last term of an A.P. are 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 = ?
S
2S
3S
None of these
Q.7
The sum of the three numbers in A.P is 21 and the product of the first and third number of the sequence is 45. What are the three numbers?
5, 7 and 9
9, 7 and 5
3, 7 and 11
Both (A) and (B)
Q.8
If a rubber ball consistently bounces back $$\frac{{2}}{{3}}$$ of the height from which it is dropped, what fraction of its original height will the ball bounce after being dropped and bounced four times without being stopped?
$$\frac{{16}}{{81}}$$
$$\frac{{16}}{{27}}$$
$$\frac{{4}}{{9}}$$
$$\frac{{37}}{{81}}$$
Q.9
The 3
^{rd}
and 9
^{th}
term of an arithmetic progression are -8 and 10 respectively. What is the 16
^{th}
term?
34
28
25
31
Q.10
What is the sum of the first 12 terms of an arithmetic progression if the first term is -19 and last term is 36?
192
230
102
214
Q.11
The 3
^{rd}
and 7
^{th}
term of an arithmetic progression are -9 and 11 respectively. What is the 15
^{th}
term?
28
87
51
17
Q.12
What is the sum of the first 17 terms of an arithmetic progression if the first term is -20 and last term is 28?
68
156
142
242
Q.13
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?
2
^{20}
2
^{20}
-1
2
^{19}
-1
2
^{19}
None of these
Q.14
If the fifth term of a GP is 81 and first term is 16, what will be the 4
^{th}
term of the GP?
36
18
54
24
27
Q.15
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.
32 Cm
^{2}
16 Cm
^{2}
20 Cm
^{2}
64 Cm
^{2}
None of these
Q.16
If the Arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is
10
12
14
16
Q.17
What is the sum of the first 9 terms of an arithmetic progression if the first term is 7 and last term is 55?
219
279
231
137
Q.18
If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18
^{th}
term of the AP will be
0
1
2
-1
Q.19
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?
67
45
-30
-48
Q.20
If the 3
^{rd}
and the 5
^{th}
term of an arithmetic progression are 13 and 21, what is the 13
^{th}
term?
53
49
57
61
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