Select the term from among the given options that can replace the question mark (?) in the following series. MY 84, KW 80, IU 76, GS 72, ?
- (a)FP 69
- (b)EQ 68
- (c)ER 70
- (d)FQ 71
Answer
Why
Correct — B. Split each term into three independent series.
Rule: first letter −2, second letter −2, number −4.
First letters: M → K → I → G → E (13, 11, 9, 7, 5)
Second letters: Y → W → U → S → Q (25, 23, 21, 19, 17)
Numbers: 84 → 80 → 76 → 72 → 68
The next term is EQ 68, option (b).
Why the others are wrong
- (a)FP 69 — FP 69 drops the first letter by 1 and the number by 3. The four printed terms fix those steps at −2 and −4.
- (c)ER 70 — ER 70 gets the first letter right, then moves the second letter only one place (S→R) and the number only two. The second letter must fall to Q.
- (d)FQ 71 — FQ 71 gets the second letter right, then moves the first letter only one place (G→F) and the number only one. The first letter must fall to E.
Concept
An alphanumeric series bolts two or three unrelated sequences together. Split the term first — here a letter, a letter and a two-digit number — and solve each part on its own.
Converting letters to alphabet positions turns the letter parts into plain arithmetic you can check, which is far safer than counting forward in your head.
Four printed terms give three gaps. Test all three before extending: a step confirmed once is not a step confirmed.
The letter parts and the number part are independent. There is no relationship to find between E and 68.
Key facts
- First letters as positions: M=13, K=11, I=9, G=7, E=5.
- Second letters as positions: Y=25, W=23, U=21, S=19, Q=17.
- The number falls by a constant 4: 84, 80, 76, 72, 68.
Study next
Common traps
- Reading only the first gap and assuming the step is constant
- Treating the two letters as a pair and hunting for a word-level rule
- Counting alphabet positions backwards from Z by mistake
The two-letters-plus-number form recurs across the 2024 shifts — also asked 9 Sep 2024, 12:30, Reasoning Q.24 (VO39, TM35, RK31, PI27) and 10 Sep 2024, 09:00, Reasoning Q.13 (FM61, EK58, DI55, CG52).
Related PYQs
No directly related past PYQ was found.