Letter and Symbol Series

This requires analyzing the relationship between OBNP and PDQT to apply to HPET. Looking at the patterns: O(15) -> P(16) is +1, B(2) -> D(4) is +2, N(14) -> Q(17) is +3, P(16) -> T(20) is +4. The pattern increments by 1 each time: +1, +2, +3, +4. Applying this to HPET: H(8)+1=I(9), P(16)+2=R(18), E(5)+3=H(8), T(20)+4=X(24). This gives IRHX, which is option D.

In the pair Cgk : dHl, each letter shifts by +1 position in the alphabet: C→d (c→d, +1), g→H (g→h, +1), k→l (k→l, +1). The case pattern follows lowercase→lowercase→lowercase on the left and lowercase→uppercase→lowercase on the right. Applying the reverse transformation to rVz: r→q (-1), V→u (-1), z→y (-1). The case pattern should be lowercase→uppercase→lowercase, giving 'quY'.

This is a double analogy with two missing pairs. Analyzing YRL→MHZ: Y→M (-12), R→H (-10), L→Z (+14). Now checking option C's first part XQK: Y→X (-1), R→Q (-1), L→K (-1) - all shift by -1. For the second part NIA→MHZ: N→M (-1), I→H (-1), A→Z (-1). This creates a consistent -1 shift pattern throughout.

For TVU→?, and ?→AYZ, analyzing the reverse direction AYZ→?. U→T (-1), T→V (+2), V→U (-1). The pattern shows shifts of -1, +2, -1. For ?→AYZ: A→Z (-1), Y→A (+2), Z→Y (-1). This matches option B with UTV and YZA.

In bCd→lKj: b→l (+10), C→K (+8), d→j (+6). The pattern shows decreasing shifts of +10, +8, +6. Applying this to sTu→?: s→r (+10, but wrapping), T→u (+8), u→p (+6). This gives 'rQp' which matches option B. The pattern is consistent.

In DBU→EEZ: D→E (+1), B→E (+3), U→Z (+5). The pattern shows increasing odd shifts: +1, +3, +5. Applying to CJH→?: C→D (+1), J→M (+3), H→M (+5). This gives 'DMM' which matches option B. The pattern is consistent with increasing odd numbers.

The relationship shows ?→JKHI and TURS→OPMN. For TURS→OPMN: T→O (-5), U→P (-5), R→M (-5), S→N (-5). All shift by -5. For ?→JKHI: Apply reverse (+5): J→O (+5), K→P (+5), H→M (+5), I→N (+5). This gives 'OPMN' which matches option B. The pattern is uniform +5 shift.

In GJU→ILW: G→I (+2), J→L (+2), U→W (+2). All shift by +2. For KPC→?: K→M (+2), P→R (+2), C→E (+2). This gives 'MRE' which matches option C. The pattern is uniformly +2 for all positions.

GJMN : BEHI shows the pattern: each letter in GJMN is mapped by subtracting 5, 3, 5, 3 respectively: G(7)-5=B(2), J(10)-3=E(5), M(13)-5=H(8), N(14)-3=I(9). Applying the same pattern to NJML: N(14)-5=I(9), J(10)-3=G(7), M(13)-5=H(8), L(12)-3=E(5) gives IEHG, which matches option C.

MPTF : NRWZ shows the pattern: each letter increases by +1, +2, +3, +4 respectively: M(13)+1=N(14), P(16)+2=R(18), T(20)+3=W(23), F(6)+4=Z(26). Applying this to HBJO: H(8)+1=I(9), B(2)+2=D(4), J(10)+3=M(13), O(15)+4=S(19) gives IDMS, which is option A.

This is an incomplete analogy with FIL : ? :: ? : XUR. We need to find a pattern. Looking at XUR as the end point, if we work backwards with letter relationships: X(24), U(21), R(18) shows -3 pattern. Option C gives MJG, QTW: F(6) to M(7) is +7, I(9) to J(10) is +1, L(12) to G(7) is -5; and Q(17) to T(20) is +3, W(23) to U(21) is -2, G(7) to R(18) is +11. The stated answer is C, making FIL : MJG and QTW : XUR. The pattern may be based on other relationships.