Multiple choice

Passage

Directions: Study the following information carefully and answer the question given below. A series contains seven terms. The first term of the series is p 0 , where p represents the smallest odd prime number. The second term of the series is equal to p. The third term is the cube of the second term. The fourth term is obtained by dividing the square of the third term by the second term. The fifth term is obtained by subtracting the third term from the fourth term. The sixth term is 5 times the fifth term. The seventh term is obtained by adding the fourth term to the sixth term.

What is the ratio of the second term to the sixth term of the series?

  1. 1 : 180

  2. 1 : 240

  3. 1 : 300

  4. 1 : 360

  5. 1 : 420
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D Correct answer
Explanation

Smallest odd prime p=3. Term 1 = 3^0 = 1. Term 2 = 3. Term 3 = 3^3 = 27. Term 4 = 27^2 / 3 = 729 / 3 = 243. Term 5 = 243 - 27 = 216. Term 6 = 5 * 216 = 1080. Ratio of Term 2 to Term 6 = 3 / 1080 = 1 / 360.

AI explanation

Based on the rules, the smallest odd prime number is 3, making the second term equal to 3. The third term is 3 cubed, which is 27, and the fourth term is 27 squared divided by 3, resulting in 243. The fifth term is 243 - 27 = 216, so the sixth term is 5 * 216 = 1080. The ratio of the second term to the sixth term is 3 to 1080, which simplifies to 1 to 360.

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