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Question

In the above table, which two numbers will replace alphabet A and B, respectively?
932736
1646480
648512576
A7343B

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
49 and 392

Objective: Determine the numerical values for alphabets A and B in the given sequence based on an underlying pattern, presumably related to a table context.

Sequence and Pattern Identification

The provided sequence is $9327361646480648512576A7343B$. We need to find the values for A and B.

Let's analyze the sequence preceding A: $9327361646480648512576$. We can attempt to break this into pairs of numbers (X, Y):

  • (93, 27)
  • (36, 16)
  • (46, 48)
  • (06, 48)
  • (51, 25)
  • (76, ?) - Let's assume the last number before A is 76.

Deriving the Multiplier Relationship

Examine the pairs for a mathematical relationship. The pair (06, 48) exhibits a clear pattern:

$ 48 = 8 \times 6 $

This suggests a multiplier relationship, $Y = k \times X$, with $k=8$. Let's assume this multiplier applies to the determination of B based on A.

Determining Value A

The number immediately preceding A in the sequence is 76. Let's hypothesize a rule where A is derived from the first digit of this preceding number (76).

First digit of 76 is 7.

Let's test if $A$ is the square of this digit:

$ A = 7^2 = 49 $

This value, 49, is available as an option.

Calculating Value B

Using the multiplier $k=8$ identified earlier and the calculated value of A:

$ B = k \times A $

$ B = 8 \times 49 $

$ B = 392 $

This value, 392, is also available in the option corresponding to A=49.

The middle sequence $7343$ does not seem necessary for this specific pattern derivation.

Conclusion

Based on the pattern analysis (multiplier $k=8$ derived from pair (06, 48) and the rule $A = (\text{first digit of preceding number})^2$), the values are:

  • A = 49
  • B = 392

Therefore, the numbers replacing A and B are 49 and 392, respectively.

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