EWT | Academic Question

Questions
Question (1)
QN0026646
Which of the following sequences is both an arithmetic progression and a geometric progression?
  • (A) 2, 4, 6, 8, …
  • (B) 3, 3, 3, 3, …
  • (C) 1, 2, 4, 8, …
  • (D) 5, 10, 15, 20, …

Correct Answer: B
Explanation:

Constant sequence has common difference 0 and common ratio 1.

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Question (2)
QN0026647
Find the 12th term of the AP 5, 9, 13, 17, …
  • (A) 45
  • (B) 47
  • (C) 49
  • (D) 51

Correct Answer: C
Explanation:

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Question (3)
QN0026648
The common ratio of the GP 243, 81, 27, 9, … is:
  • (A)
  • (B) 3
  • (C) –3
  • (D)

Correct Answer: A
Explanation:

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Question (4)
QN0026649
The sum of the first 16 natural numbers is:
  • (A) 120
  • (B) 128
  • (C) 136
  • (D) 144

Correct Answer: C
Explanation:

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Question (5)
QN0026650
Which of the following is NOT an arithmetic progression?
  • (A) 7, 11, 15, 19, …
  • (B) 12, 9, 6, 3, …
  • (C) 2, 5, 10, 17, …
  • (D) –4, –1, 2, 5, …

Correct Answer: C
Explanation:

Differences are not equal.

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Question (6)
QN0026651
Find the 6th term of the GP 1, 4, 16, 64, …
  • (A) 256
  • (B) 512
  • (C) 1024
  • (D) 4096

Correct Answer: C
Explanation:

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Question (7)
QN0026652
If the sum of the first natural numbers is 210, then equals:
  • (A) 18
  • (B) 19
  • (C) 20
  • (D) 21

Correct Answer: C
Explanation:

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Question (8)
QN0026653
In an AP, if the first term is 18 and the common difference is –2, then the 8th term is:
  • (A) 2
  • (B) 4
  • (C) 6
  • (D) 8

Correct Answer: B
Explanation:

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Question (9)
QN0026654
Which situation represents a geometric progression?
  • (A) Salary increasing by ₹1000 yearly
  • (B) Number of cells doubling every hour
  • (C) Stair heights increasing equally
  • (D) Consecutive page numbers in a notebook

Correct Answer: B
Explanation:

Doubling forms a GP.

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Question (10)
QN0026655
Find the common difference of the AP: 31, 27, 23, 19, …
  • (A) –2
  • (B) –3
  • (C) –4
  • (D) –5

Correct Answer: C
Explanation:

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