Progression – Set 1

Dear ! This is Progression – Set 1 Quiz and it contains 50 questions.

Happy Learning!

1 / 50

1) Given A = 2⁶⁵ and B = (2⁶⁴ + 2⁶³ + 2⁶² + ….. +2⁰), which of the following is true?

B is 264 larger than A

A and B are equal

B is larger than A by 1

A is larger than B by 1

2 / 50

2) The sum of n terms of an A.P. is 3n² + 5n, then 164 is its

24th term

27th term

26th term

25th term

3 / 50

3) If S_n denotes the sum of the first r terms of an A.P. Then, S_3n : (S_2n – S_n) is

None of these

4 / 50

4) Two A.P.’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 30^th terms is

5 / 50

5) The first and last terms of an A.P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be

6 / 50

6) The 7^th and 12^th term of an arithmetic progression are -15 and 5 respectively. What is the 16^th term?

7 / 50

7) If the sum of n terms of an A.P. be 3n² + n and its common difference is 6, then its first term is

8 / 50

8) If 18, a, b – 3 are in A.P. then a + b =

9 / 50

9) Which term of the A.P. 92, 88, 84, 80, …… is 0?

10 / 50

10) What is the sum of all positive integers up to 1000, which are divisible by 5 and are not divisible by 2?

40000

50000

60000

70000

11 / 50

11) 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 : 1

4 : 3

1 : 3

3 : 4

12 / 50

12) What is the sum of the following series? -64, -66, -68, ……, -100

-1555

-1556

1557

-1558

13 / 50

13) If the Arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is

14 / 50

14) If k, 2k – 1 and 2k + 1 are three consecutive terms of an AP, the value of k is

15 / 50

15) If the sum of it terms of an A.P. is 2n² + 5n, then its nth term is

4n – 3

3n – 4

4n + 3

3n + 4

16 / 50

16) If S_n denote the sum of the first n terms of an A.P. If S_2n = 3S_n , then S_3n : S_n is equal to

17 / 50

17) The sum of n terms of two A.P.’s are in the ratio 5n + 4 : 9n + 6. Then, the ratio of their 18^th term is

179/321

178/235

139/343

178/276

18 / 50

18) How many 2-digit positive integers are divisible by 4 or 9?

19 / 50

19) The sum of first n odd natural numbers in

2n – 1

2n + 1

n2 – 1

20 / 50

20) In an A.P., if d = -4, n = 7, a_n = 4, then a is

222

21 / 50

21) 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

p – q

p + q

-(p + q)

22 / 50

22) For an A.P. if a₂₅ – a₂₀ = 45, then d equals to:

23 / 50

23) The common difference of an A.P., the sum of whose n terms is S_n, is

Sn – 2Sn – 1 + Sn – 2

Sn – 2Sn – 1 – Sn – 2

Sn – Sn – 2

Sn – Sn – 1

24 / 50

24) If the sum of n terms of an A.P. is 3n² + 5n then which of its terms is 164 ?

27th

28th

29th

30th

25 / 50

25) For A.P. T₁₈ – T₈ = …….. ?

10d

15d

26 / 50

26) Which term of the A.P. 24, 21, 18, ………… is the first negative term?

10th

15th

18th

20th

27 / 50

27) 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?

Rs. 1,05,000

Rs. 1,06,000

Rs. 1,07,000

Rs. 1,08,000

28 / 50

28) In an AP, S_p = q, S_q = p and S denotes the sum of first r terms. Then, S_p+q is equal to

p+q

q+p

29 / 50

29) 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_n-1 + S_n-2 then k =

30 / 50

30) The sum of first five multiples of 3 is:

31 / 50

31) The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression.

32 / 50

32) What is the sum of all 3 digit numbers that leave a remainder of ‘2’ when divided by 3?

897

1,64,850

1,64,749

1,49,700

33 / 50

33) If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 term is

3200

3300

3400

3500

34 / 50

34) What is the sum of the first 9 terms of an arithmetic progression if the first term is 7 and last term is 55?

279

289

299

309

35 / 50

35) The n^th term of an A.P., the sum of whose n terms is S_n, is

Sn + Sn – 1

Sn – Sn – 1

Sn + Sn + 1

Sn – Sn + 1

36 / 50

36) 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

37 / 50

37) The number of terms of the A.P. 3, 7, 11, 15, ……. to be taken so that the sum is 406 is

38 / 50

38) 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 :

39 / 50

39) If the n^th term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is

n(n – 2)

n(n + 2)

n(n + 1)

n(n – 1)

40 / 50

40) The 9^th term of an A.P. is 449 and 449^th term is 9. The term which is equal to zero is

50th

60th

90th

None of these

41 / 50

41) 15^th term of A.P., x – 7, x – 2, x + 3, …….. is

x + 64

x + 62

x + 63

x + 65

42 / 50

42) 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

43 / 50

43) If S_n denote the sum of n terms of an A.P. with first term a and common difference d such that

S x S k x “> S x/ S k x

is independent of x, then

d = a

d = 2a

a = 2d

d = -a

44 / 50

44) 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)

45 / 50

45) The first three terms of an A.P. respectively are 3y – 1, 3y + 5 and 5y + 1. Then, y equals

46 / 50

46) If an A.P. has a = 1, t_n = 20 and s_n = 399, then value of n is :

47 / 50

47) If a + 1, 2a + 1, 4a – 1 are in A.P., then the value of a is:

48 / 50

48) If 7^th and 13^th terms of an A.P. be 34 and 64 respectively, then its 18^th term is

49 / 50

49) If a rubber ball consistently bounces back $23 “> 2 /3$ 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?

16/81

16/80

16/82

16/23

50 / 50

50) The sum of first 20 odd natural numbers is

200

300

400

500

Your score is

The average score is 0%

Exit

Report a question

Happy Learning!

Share this Quiz with your friends!

Follow Us @

Leave a Comment Cancel Reply