In a certain code language, ‘FLBS’ is coded as ‘156’ and ‘MXT’ is coded as ‘228’. How will ‘VDZN’ be coded in the same language?
- (a)220
- (b)160
- (c)264
- (d)180
Answer
Why
Correct — C. Turn each letter into its alphabet position, add, then scale.
FLBS = 6 + 12 + 2 + 19 = 39, and 39 x 4 = 156.
MXT = 13 + 24 + 20 = 57, and 57 x 4 = 228.
Rule: (sum of alphabet positions) x 4.
VDZN = 22 + 4 + 26 + 14 = 66
66 x 4 = 264, which is option (c).
Why the others are wrong
- (a)220 — 220 needs a letter total of 55. V + D + Z + N = 22 + 4 + 26 + 14 = 66, so the code is 264.
- (b)160 — 160 needs a total of 40. That is nowhere near 66 — it is close to FLBS's own total of 39, which belongs to a different word.
- (d)180 — 180 needs a total of 45. The multiplier stays 4 across both worked codes, so a sum of 66 can only give 264.
Concept
A numeric code item gives you two worked pairs and expects one arithmetic bridge that fits both. The reliable first move is to write each word as alphabet positions, A = 1 up to Z = 26, and add them.
Then compare each total with its code. Here 39 gives 156 and 57 gives 228, and both ratios are exactly 4, so the bridge is a multiplier.
Do not let the differing word lengths distract you. FLBS has four letters and MXT has three, and the multiplier is 4 for both — it is not the letter count.
FLBS has four letters and its multiplier is also 4, so the two coincide by accident.
MXT settles it: three letters, still multiplied by 4.
Key facts
- F = 6, L = 12, B = 2 and S = 19 total 39, and 39 x 4 = 156.
- M = 13, X = 24 and T = 20 total 57, and 57 x 4 = 228.
- V = 22, D = 4, Z = 26 and N = 14 total 66.
Study next
Common traps
- Multiplying by the number of letters, which works for FLBS and fails for MXT.
- Reading positions backwards, which gives VDZN a total of 42 instead of 66.
- Stopping at the sum, 66, and looking for it among the options.
Letters converted to alphabet positions and summed into one number is also set at 13 Sep 2024, 16:00, Reasoning Q.3, where VAT is coded as 43 — the plain sum, with no multiplier.
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