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Question

Study the given grid carefully and select the number from the given options that can replace the question mark (?) in it.

161614
128?126
859

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
80

Grid Pattern Logic

The problem requires finding the missing number represented by '?' in a two-row grid. We need to identify the pattern governing the numbers.

16 16 14 12 8 ?
12 6 8 5 9

Finding the Number Pattern

Let $R1_i$ be the number in the first row and $i$-th column, and $R2_i$ be the number in the second row and $i$-th column.

A specific pattern connects the elements to find the missing number ($R1_6$):

  • The number preceding the missing number in the first row is $R1_5 = 8$.
  • Consider the second column elements: $R1_2 = 16$ and $R2_2 = 6$.
  • Calculate the difference: $R1_2 - R2_2 = 16 - 6 = 10$.
  • The missing number ($R1_6$) is the product of $R1_5$ and this calculated difference $(R1_2 - R2_2)$.

Calculation of Missing Number

Applying the identified pattern:

$ R1_6 = R1_5 \times (R1_2 - R2_2) $

Substitute the values from the grid:

$ R1_6 = 8 \times (16 - 6) $ $ R1_6 = 8 \times 10 $ $ R1_6 = 80 $

Therefore, the missing number is 80.

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