Question

Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete? HDX 7, MIC 16, RNH 34, WSM 70, BXR 142, ?

• A. HCW 286
• B. GCW 286
• C. GCW 268
• D. GCL 286

Answer 1

Answer:

B. GCW 286

The letter-number cluster that will replace the question mark (?) is GCW 286.

## 1. The Number Pattern

* $7 \rightarrow 16$ $(7 \times 2) + 2 = 16$

* $16 \rightarrow 34$ $(16 \times 2) + 2 = 34$

* $34 \rightarrow 70$ $(34 \times 2) + 2 = 70$

* $70 \rightarrow 142$ $(70 \times 2) + 2 = 142$

* $142 \rightarrow \mathbf{286}$ $(142 \times 2) + 2 = \mathbf{286}$

*

## 2. The Letter Pattern

Let's analyze the positions of the letters in the English alphabet ($A=1, B=2, \dots, Z=26$):

*

* First Letter: H $\rightarrow$ M $\rightarrow$ R $\rightarrow$ W $\rightarrow$ B $\rightarrow$ ?

* $H (8) + 5 = M (13)$

* $M (13) + 5 = R (18)$

* $R (18) + 5 = W (23)$

* $W (23) + 5 = B (28 \rightarrow 2)$

* $B (2) + 5 = \mathbf{G (7)}$

* Second Letter: D $\rightarrow$ I $\rightarrow$ N $\rightarrow$ S $\rightarrow$ X $\rightarrow$ ?

* $D (4) + 5 = I (9)$

* $I (9) + 5 = N (14)$

* $N (14) + 5 = S (19)$

* $S (19) + 5 = X (24)$

* $X (24) + 5 = \mathbf{C (29 \rightarrow 3)}$

* Third Letter: X $\rightarrow$ C $\rightarrow$ H $\rightarrow$ M $\rightarrow$ R $\rightarrow$ ?

* $X (24) + 5 = C (29 \rightarrow 3)$

* $C (3) + 5 = H (8)$

* $H (8) + 5 = M (13)$

* $M (13) + 5 = R (18)$

* $R (18) + 5 = \mathbf{W (23)}$

Combining the missing letter cluster (GCW) with the missing number (286) gives the next term: GCW 286.