Progressions Part

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Progressions Part - 6

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Weekly Quiz Competition

Question 1
1 / -0

How many integers do the following finite arithmetic progressions have in common?

1, 8, 15, 22, …………….., 2003 and 2, 13, 24, 35, ……., 2004

A
10

B
23

C
25

D
26
Question 2
1 / -0

If the sum of n terms of an AP is an(n - 1), then the sum of the squares of these terms is

A
a²n²(n - 1)²

B
n(n - 1)(2n - 1)

C
n(n - 1)(2n - 1)

D
n(n + 1)(2n + 1)

E
None of these
Question 3
1 / -0

Two APs have same common difference. The difference between their 100^th terms is 100. What is the difference between their 1^st terms?

A
100

B
200

C
300

D
500
Question 4
1 / -0

Directions: Find the sum of the given series.

101 + 99 + 97 + ... + 47

A
1072

B
1642

C
1962

D
2072
Question 5
1 / -0

What is the sum of all the 2-digit numbers that give a remainder of 3 when divided by 7?

A
666

B
676

C
682

D
728
Question 6
1 / -0

Find the 8^th term of the given AP series.
117, 104, 91, 78 ,...

A
13

B
26

C
52

D
63
Question 7
1 / -0

Find the fifth term of the given arithmetic progression.
10, 15, 20, ...

A
15

B
20

C
25

D
30
Question 8
1 / -0

How many 3-digit numbers are divisible by 7?

A
120

B
128

C
100

D
125
Question 9
1 / -0

If the sum of the first four terms of an AP is 16 and the sum of their squares is 84, then the terms are

A
1, 5, 7, 9

B
3, 5, 7, 9

C
1, 3, 5, 7

D
4, 6, 8, 10
Question 10
1 / -0

If 16 and 22 are the third and the fourth terms of an AP, respectively, then the the first term is

A
4

B
8

C
10

D
None of these
Question 11
1 / -0

Find the sum of the first 15 multiples of 8. where all multiple belongs to the set of natural numbers.

A
960

B
900

C
850

D
800
Question 12
1 / -0

What is the common difference of the given arithmetic progression?
10, 15, 20, 25,...... 50

A
5

B
10

C
20

D
None of these
Question 13
1 / -0

Which term of the given AP will be 132 more than its 54^th term?

3, 15, 27, 39, …

A
60

B
64

C
70

D
65
Question 14
1 / -0

If n^th term of an A.P. is given by 4n + 5, its common difference is _______.

A
3

B
4

C
5

D
6
Question 15
1 / -0

If log₃ 2, log₃(2^x – 5), log₃(2^x – 7/2) are in arithmetic progression, find the value of x.

A
5

B
4

C
3

D
2
Question 16
1 / -0

The angles of a quadrilateral are in AP with common difference as 10^o. The value of the largest angle is

A
75^o

B
85^o

C
95^o

D
105^o
Question 17
1 / -0

In an AP, the 1^st and the 13^th terms are and m, respectively. The common difference of the AP is

A

B

C

D
Question 18
1 / -0

For an AP, the 11^th term is 41 and the 1^st term is 11. The common difference of the AP is

A
10

B
3

C
-3

D
-10
Question 19
1 / -0

Which of the following sequences is an arithmetic progression?

A
1, , , , ....

B
2, 3, 5, 7, 11, 13.....

C
1, 3, 5, 7, 9, .... 23

D
2, 4, 8, 16,... , 8192
Question 20
1 / -0

If - 7 is the first term of an AP and the common difference is 2, which of the following strings of numbers represents the next four terms of the AP?

A
- 1, 0, - 2, 5

B
- 5, - 3, - 1, 1

C
- 2, 0, 3, 5

D
- 4, - 2, 1, 4