Number Series

Passage

Directions: Given below are two series I and II. Each series contains a wrong term, and both follow different patterns. Solve the series and answer the following question. Series I: x, y + 3, z + 8, 63, 268, 1365, 8226 Series II: 2y - 1, 2z - 2, 36, 10x + 2, 98, 147, 209 Note: (i) 5ym 2 - (21 - x)m + 3 = 0, roots of equation are and . (where < ) (ii) any multiple of b give a number with unit digit zero. (iii) z - a = 7 and LCM of a and 7 is 21.

Passage

Directions: Study the bar graph carefully and answer the question that follows. There are two Series I and II given below. Series I contains a wrong term and follow different patterns. Solve the series and answer the following question given below: Series I. a, b + 4, c + 7, 56, 231, 1164, 6995, 48978 Series II: b + 6, c + 12, 37, a + 50, 80, 110, 147, 192 Where a, b, c are integers. Note: (i) 5bx 2 - (30 - a)x + 7 = 0, roots of the equation are z/10 and y/20 (where z/10 > y/20). (ii) Any multiple of y give a number with unit digit zero. (iii) c – z = 3 and LCM of z and 5 is 35. Solve the given problem using these details.

Passage

Directions: Study the bar graph carefully and answer the question that follows. There are two Series I and II given below. Series I contains a wrong term and follow different patterns. Solve the series and answer the following question given below: Series I. a, b + 4, c + 7, 56, 231, 1164, 6995, 48978 Series II: b + 6, c + 12, 37, a + 50, 80, 110, 147, 192 Where a, b, c are integers. Note: (i) 5bx 2 - (30 - a)x + 7 = 0, roots of the equation are z/10 and y/20 (where z/10 > y/20). (ii) Any multiple of y give a number with unit digit zero. (iii) c – z = 3 and LCM of z and 5 is 35. Solve the given problem using these details.

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.

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.

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.