Match List-I with List-II
| List-I | List-II | ||
|---|---|---|---|
| (Pattern Series) | (Missing Term) | ||
| (A) | 43, 64, 96, 139, 193, ? | (I) | 200 |
| (B) | 137, 148, 161, 176, 193, ? | (II) | 291 |
| (C) | 307, 303, 299, 295, ? | (III) | 212 |
| (D) | 8, 32, 72, 128, ? | (IV) | 258 |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (A)-(IV), (B)-(III), (C)-(II), (D)-(I)
In each series the differences between neighbouring terms show the rule, and the rule gives the next term.
(A) 43, 64, 96, 139, 193, ? — this matches (IV) 258.
Differences: 21, 32, 43, 54, each 11 more than the one before
Next difference \(54+11=65\), so the next term is \(193+65=258\)
(B) 137, 148, 161, 176, 193, ? — this matches (III) 212.
Differences: 11, 13, 15, 17, the odd numbers in order
Next difference 19, so the next term is \(193+19=212\)
(C) 307, 303, 299, 295, ? — this matches (II) 291. Each term is 4 less than the one before, so the next term is \(295-4=291\).
(D) 8, 32, 72, 128, ? — this matches (I) 200.
The terms are \(2\times2^2,\ 2\times4^2,\ 2\times6^2,\ 2\times8^2\): twice the squares of 2, 4, 6, 8
Next term \(=2\times10^2=200\)