EWT | Academic Question

Questions
Question (1)
QN0016067
The sequence 1, 2, 3, 5, 8, 13, … is known as the
  • (A) Prime sequence
  • (B) Arithmetic sequence
  • (C) Virahāṅka–Fibonacci sequence
  • (D) Square number sequence

Correct Answer: C
Explanation:

Each term is obtained by adding the previous two terms.

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Question (2)
QN0016068
Virahāṅka numbers were first discovered in the study of
  • (A) Geometry
  • (B) Astronomy
  • (C) Poetry
  • (D) Trade

Correct Answer: C
Explanation:

They arose from studying poetic rhythms.

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Question (3)
QN0016069
In Sanskrit and Prakrit poetry, a short syllable lasts
  • (A) 2 beats
  • (B) 3 beats
  • (C) 1 beat
  • (D) 4 beats

Correct Answer: C
Explanation:

A short syllable lasts 1 beat.

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Question (4)
QN0016070
A long syllable lasts
  • (A) Half a beat
  • (B) One beat
  • (C) Two beats
  • (D) Three beats

Correct Answer: C
Explanation:

A long syllable lasts 2 beats.

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Question (5)
QN0016071
Virahāṅka lived approximately around
  • (A) 300 BCE
  • (B) 700 CE
  • (C) 1202 CE
  • (D) 1500 CE

Correct Answer: B
Explanation:

Virahāṅka lived around the 7th century CE.

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Question (6)
QN0016072
Fibonacci wrote about these numbers in
  • (A) 700 CE
  • (B) 1000 CE
  • (C) 1202 CE
  • (D) 1502 CE

Correct Answer: C
Explanation:

Fibonacci described them in 1202 CE.

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Question (7)
QN0016073
Which of the following is the correct rule for forming Virahāṅka–Fibonacci numbers?
  • (A) Multiply previous two terms
  • (B) Add previous two terms
  • (C) Subtract previous term
  • (D) Double previous term

Correct Answer: B
Explanation:

Each term equals the sum of the previous two terms.

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Question (8)
QN0016074
What is the next term after 13 in the sequence 1, 2, 3, 5, 8, 13, ...?
  • (A) 18
  • (B) 19
  • (C) 20
  • (D) 21

Correct Answer: D
Explanation:

8 + 13 = 21.

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Question (9)
QN0016075
The number of ways to write 4 as a sum of 1s and 2s is
  • (A) 3
  • (B) 4
  • (C) 5
  • (D) 6

Correct Answer: C
Explanation:

There are 5 possible arrangements.

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Question (10)
QN0016076
How many ways can 5 be written as a sum of 1s and 2s?
  • (A) 5
  • (B) 6
  • (C) 8
  • (D) 13

Correct Answer: C
Explanation:

The count is the Virahāṅka number 8.

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