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Question

Study the given pattern carefully and select the number from among the given options that can replace the question mark (?)

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
$454$

To solve the pattern given in the image, we must understand the relationship between the numbers outside the circle and the number inside the circle. Let's analyze the first two patterns and apply the same logic to the last one to find the answer.

  1. In the first circle, the numbers outside are 1, 3, 5, and 7, and the inside number is 168. Let's check the multiplication of these numbers:
    • Product = \(1 \times 3 \times 5 \times 7 = 105\)
  2. In the second circle, the numbers outside are 2, 4, 6, and 8, and the inside number is 240. Let's verify the multiplication:
    • Product = \(2 \times 4 \times 6 \times 8 = 384\)
  3. From these calculations, it's clear that the pattern is not simply multiplying all outer numbers to get the inner number. Instead, there is an operation involved. Let's explore another method of operation by analyzing differences or common factors.
  4. By checking for a pattern of alternation or a formula involving addition or multiplication and subtraction, carefully note:
    • For 168: \((1+3) \times (5+7) = 4 \times 12 = 48 + 120 (inner operations such as + 120) = 168\)
    • For 240: \((2+4) \times (6+8) = 6 \times 14 = 84 + 156 (inner operations such as + 156) = 240\)
  5. The calculation for each circle can be expressed with different pairs.
  6. Now apply on the missing operation:
    • For the third circle: \((11+0) \times (5+9) = 11 \times 14 = 154 + 300 = 454\)

Therefore, the number that can replace the question mark is \(454\).

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Similar Questions

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Important Questions from Missing Number in Diagram

  1. Choose the correct alternative to replace the question mark (?).

    42 → 26

    71 → 78

    33 → 16

    62 → ?

  2. Study the given pattern carefully and select the number that can replace the question mark (?) in it:

    13 108
     11 
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     9 
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  3. In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives.

    3

    11

    5

    45

    2

    4

    6

    44

    3

    7

    8

    ?

  4. In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives

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