Question

ADGJ, YVSP, KNQT,       ?

• A. SVZB
• B. QTWZ
• C. OLIF
• D. LORU

Hint:

When letter groups have constant steps, check if the direction +/- alternates across groups.

Answer 1

The Correct Option is C

Each group forms an arithmetic sequence of letters with step \(3\). 

The directions alternate: \(+3\) (ADGJ), then \(-3\) (YVSP), then \(+3\) (KNQT). 

So the next must be \(-3\): \[ O\,(\!-\!3\!)\,L\,(\!-\!3\!)\,I\,(\!-\!3\!)\,F. \] \[ \boxed{\text{OLIF}} \]

Answer 2

Instead of working out exactly which starting letter comes next, let's just test each option's own internal letter-arithmetic — since the pattern alternates a step of \(3\) forward, then \(3\) backward, then \(3\) forward, the fourth group must step backward by \(3\) throughout.

1. Option SVZB: \(S(19)\to V(22)\) is a step of \(+3\), but \(V(22)\to Z(26)\) is a step of \(+4\) — the internal step size isn't even consistent, so this option is ruled out immediately.
2. Option QTWZ: Every step here is \(+3\) (\(Q\to T\to W\to Z\)), which is the same forward direction as the first and third groups — but the fourth group needs the backward direction, so this is wrong.
3. Option OLIF: Every step here is \(-3\) (\(O(15)\to L(12)\to I(9)\to F(6)\)), matching exactly the backward direction required for the fourth group in the alternating pattern.
4. Option LORU: Every step here is \(+3\) again (\(L\to O\to R\to U\)), the wrong direction for this position in the alternation.

Only one option has both the correct step size and the correct (backward) direction expected here.

Hence, the correct answer is OLIF.