Progressions - Set 1

Progressions – Set 1

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

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1 / 50

1) 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

2 / 50

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

3 / 50

3) 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

4 / 50

4) 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 + 1)

n(n – 1)

n(n – 2)

n(n + 2)

5 / 50

5) 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. 1,06,000

Rs. 1,07,000

Rs. 1,08,000

Rs. 1,05,000

6 / 50

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

7 / 50

7) 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

178/235

179/321

139/343

178/276

8 / 50

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

10th

18th

15th

20th

9 / 50

9) 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

1 : 3

3 : 1

3 : 4

4 : 3

10 / 50

10) 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

11 / 50

11) 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?

Both (A) and (B)

3, 7 and 11

5, 7 and 9

9, 7 and 5

12 / 50

12) 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

4, 10, 16, 22

5, 10, 15, 20

3, 7, 11, 15

None of these

13 / 50

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

14 / 50

14) For A.P. T₁₈ – T₈ = …….. ?

15d

10d

15 / 50

15) The sum of first 20 odd natural numbers is

500

400

200

300

16 / 50

16) 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

17 / 50

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

18 / 50

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

-1558

-1556

-1555

1557

19 / 50

19) 15^th term of A.P., x – 7, x – 2, x + 3, …….. is

x + 62

x + 65

x + 64

x + 63

20 / 50

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

21 / 50

21) 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

22 / 50

22) 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

23 / 50

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

24 / 50

24) 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

25 / 50

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

26 / 50

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

27 / 50

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

28th

30th

27th

29th

28 / 50

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

29 / 50

29) 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

30 / 50

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

26th term

27th term

25th term

24th term

31 / 50

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

32 / 50

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

33 / 50

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

34 / 50

34) 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

90th

60th

None of these

35 / 50

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

A is larger than B by 1

B is 264 larger than A

A and B are equal

B is larger than A by 1

36 / 50

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

222

37 / 50

37) 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 = -a

d = 2a

a = 2d

38 / 50

38) The sum of first n odd natural numbers in

2n – 1

n2 – 1

2n + 1

39 / 50

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

40 / 50

40) 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 =

41 / 50

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

4n – 3

3n – 4

3n + 4

4n + 3

42 / 50

42) 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 :

43 / 50

43) 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

q+p

p+q

44 / 50

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

3200

3500

3400

3300

45 / 50

45) 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

16/82

16/80

16/23

46 / 50

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

47 / 50

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

1,49,700

1,64,850

1,64,749

897

48 / 50

48) 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

49 / 50

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

50 / 50

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

50000

70000

40000

60000

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⟵ अघिल्लो सेट (Previous) Percentage – Set 11

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Progressions – Set 1 अभ्यास जारी राख्नुहोस्

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Progressions – Set 1

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