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Question

Three of the following four letter-clusters are alike in a certain way and thus form a group. Which is the letter-cluster that does NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their positions in the letter-cluster.)

The correct answer is

IKN

To solve this logical reasoning problem, we need to identify the pattern or rule that three of the letter-clusters share, which distinguishes them from the one that does not share the pattern.

  1. Let's examine the given options:
    • IKN
    • MPR
    • CFH
    • EHJ
  2. We will convert each letter to its position in the alphabet to see if a pattern emerges:
    • I (9), K (11), N (14)
    • M (13), P (16), R (18)
    • C (3), F (6), H (8)
    • E (5), H (8), J (10)
  3. Now let's look at the differences between each consecutive pair in each cluster:
    • For IKN: K - I = 11 - 9 = 2, N - K = 14 - 11 = 3
    • For MPR: P - M = 16 - 13 = 3, R - P = 18 - 16 = 2
    • For CFH: F - C = 6 - 3 = 3, H - F = 8 - 6 = 2
    • For EHJ: H - E = 8 - 5 = 3, J - H = 10 - 8 = 2
  4. From this, we can see:
    • The pattern or rule shared by MPR, CFH, and EHJ is that the differences between the letters are in the order of 3 and 2.
    • IKN differs from the rest since its pairwise differences are 2 and 3, not following the same 3 and 2 pattern as the other clusters.
  5. Conclusion: The letter-cluster that does not belong to the group based on the identified pattern is IKN.
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Important Questions from Mathematical Operations

  1. What will come in the place of ‘?’ in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
    18 ÷ 9 + 24 × 3 − 16 = ?

  2. If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’, and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation?
    88 B 3 D 12 A 4 C 6 = ?

  3. Select the set in which the numbers are related in the same way as are the numbers of the given sets.
    (NOTE: Operations should be performed on whole numbers without breaking down the numbers into their constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/multiplying, etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
    Given sets:
    (9, 21, 193)
    (12, 15, 184)

  4. What will come in the place of the question mark (?) in the following equation, if ‘÷’ and ‘+’ are interchanged and ‘−’ and ‘×’ are interchanged?
    44 ÷ 78 + 6 − 3 × 19 = ?

  5. Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets?

    (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

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