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Question

Select the set in which the numbers are related in the same way as the numbers of the following set.

 (13, 57, 111)

 (11, 49, 95)

 (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its 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.)

This question was previously asked in
PYST : General Awareness - SSC Stenographer 2024 (Tier-I) (10-Dec-2024) (Shift 2)
The correct answer is
(9, 41, 79)

The pattern in the given set (13, 57, 111) and (11, 49, 95) is based on a consistent mathematical relationship between consecutive numbers. Let's analyze it:

  • Set 1 (13, 57, 111):
  • 57 - 13 = 44
  • 111 - 57 = 54
  • The difference between consecutive numbers increases by 10 (44 + 10 = 54).
  • Set 2 (11, 49, 95):
  • 49 - 11 = 38
  • 95 - 49 = 46
  • The difference between consecutive numbers increases by 8 (38 + 8 = 46).

Observe that the difference between the differences is consistent. Now let's check the options:

  • Option 1 (10, 54, 11): This doesn't follow the pattern.
  • Option 2 (8, 37, 73): 37 - 8 = 29; 73 - 37 = 36. The difference doesn't increase consistently.
  • Option 3 (9, 41, 79): 41 - 9 = 32; 79 - 41 = 38. The difference increases by 6 (32 + 6 = 38), showing a consistent pattern.
  • Option 4 (12, 53, 109): 53 - 12 = 41; 109 - 53 = 56. The difference doesn't increase consistently.

Therefore, only Option 3 (9, 41, 79) exhibits the same pattern of consistently increasing differences between consecutive numbers, making it the correct answer.

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Similar Questions

  1. Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number.

    84 : 196 :: 51 : ? :: 96 : 224

    (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its 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.)

  2. Which option represents the correct order of the given words as they would appear in an English dictionary?
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  4. Select the pair from among the given options that is analogous to the given pair. 

    3:31

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  5. Select the option that is related to the third number in the same way as the second number is related to the first number. 

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  6. 325 is related to 30 following a certain logic. Following the same logic, 424 is related to 32. Which of the following numbers is related to 16 using the same logic?
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Important Questions from Analogy

  1. Select the option that is related to the third term in the same way as the second term is related to the first term.

    Day: Night :: Morning : ?
  2. Select the option that is related to the third term in the same way as the second term is related to the first term.

    India : Country :: Delhi : ..........
  3. Select the option that is related to the third term in the same way as the second term is related to the first term.

    MATE: NATE :: FATE: ?
  4. Select the option that is related to the third term in the same way as the second term is related to the first term.

    13 : 196 :: 9 : .......

  5. Select the related word pair from the given alternatives. Afghanistan : Kabul :: ....... : .........

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