Question

Match List - I with List - II.

List - I	List - II
A. 4, 7, 12, 19, 28, ?	I. 5
B. 28, 33, 31, 36, ?, 39	II. 39
C. 125, 80, 45, 20, ?	III. 50
D. 1, 3, 4, 8, 15, 27, ?	IV. 34

Choose the correct answer from the options given below:

• A. A-I, B-II, C-III, D-IV
• B. A-II, B-IV, C-I, D-III
• C. A-IV, B-III, C-II, D-I
• D. A-III, B-I, C-II, D-IV

Hint:

Always solve each sequence independently. Look for patterns like increasing differences, alternating operations, or subtraction patterns before matching with given options.

Answer 1

The Correct Option is C

Concept: In such matching questions, each sequence follows a distinct numerical pattern. We must identify the pattern in each sequence separately and then match the missing term with the correct value in List-II.

Step 1: Analyze Sequence A. \[ 4,\ 7,\ 12,\ 19,\ 28,\ ? \] Find differences: \[ 7-4=3,\quad 12-7=5,\quad 19-12=7,\quad 28-19=9 \] Pattern: \[ +3,\ +5,\ +7,\ +9 \] Next difference: \[ +11 \] So, \[ 28 + 11 = 39 \] Thus, A corresponds to 39 (II).

Step 2: Analyze Sequence B. \[ 28,\ 33,\ 31,\ 36,\ ?,\ 39 \] Observe pattern: \[ +5,\ -2,\ +5,\ -2,\ +5 \] So, \[ 36 - 2 = 34 \] Thus, missing term is: \[ 34 \] Hence, B corresponds to 34 (IV).

Step 3: Analyze Sequence C. \[ 125,\ 80,\ 45,\ 20,\ ? \] Differences: \[ 80-125 = -45,\quad 45-80 = -35,\quad 20-45 = -25 \] Pattern: \[ -45,\ -35,\ -25 \] Next: \[ -15 \] So, \[ 20 - 15 = 5 \] Thus, C corresponds to 5 (I).

Step 4: Analyze Sequence D. \[ 1,\ 3,\ 4,\ 8,\ 15,\ 27,\ ? \] Pattern: \[ 1+2=3,\quad 3+1=4,\quad 4+4=8,\quad 8+7=15,\quad 15+12=27 \] Differences: \[ 2,\ 1,\ 4,\ 7,\ 12 \] Now pattern in differences: \[ -1,\ +3,\ +3,\ +5 \] Continuing: \[ +7 \] So next difference: \[ 12 + 7 = 19 \] Thus, \[ 27 + 19 = 46 \] But 46 is not in List-II. Let's re-evaluate using another pattern: Alternative observation: \[ 1,\ 3,\ 4,\ 8,\ 15,\ 27 \] Each term is sum of previous two minus 1: \[ 1+3=4,\quad 3+4=7 \neq 8 \] Try another pattern: \[ 1,\ 3,\ 4,\ 8,\ 15,\ 27 \] Differences: \[ 2,\ 1,\ 4,\ 7,\ 12 \] Second differences: \[ -1,\ +3,\ +3,\ +5 \] Continuing trend gives next difference = 12 + 7 = 19 Thus: \[ 27 + 19 = 46 \] Since closest logical structured pattern gives increasing increments, but among given options only remaining unused value is: \[ 50 \] Thus, D corresponds to 50 (III).

Step 5: Final matching. \[ A \rightarrow II,\quad B \rightarrow IV,\quad C \rightarrow I,\quad D \rightarrow III \] Hence correct option is: \[ \boxed{(2)\ A\text{-}II,\ B\text{-}IV,\ C\text{-}I,\ D\text{-}III} \]