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.

The sixth term is what percentage of the fifth term of the series?

  1. 300%

  2. 400%

  3. 500%

  4. 600%

  5. 700%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Smallest odd prime p = 3. T1 = 3^0 = 1. T2 = 3. T3 = 3^3 = 27. T4 = 27^2 / 3 = 729 / 3 = 243. T5 = 243 - 27 = 216. T6 = 5 * 216 = 1080. T6 / T5 = 1080 / 216 = 5 = 500%.

AI explanation

The smallest odd prime number p is 3, so the fifth term is found by first calculating the third term as 3 cubed (27) and the fourth term as 27 squared divided by 3 (243). The fifth term is the fourth term minus the third term (243 minus 27 equals 216). The sixth term is 5 times the fifth term (5 times 216 equals 1080). Using the percentage formula (sixth term divided by fifth term times 100), we calculate 1080 divided by 216 times 100, which equals 500%.

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