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Question

40 is related to 53 following certain logic. Following the same logic, 8 is related to 13. To which of the following numbers is 68 related, following the same logic? (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/deleting/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.)

The correct answer is

85

To solve this logical reasoning question, we need to identify the pattern or logic applied to relate the numbers. The relationship given in the problem is as follows:

  1. 40 is related to 53.
  2. 8 is related to 13.

Let's deduce the logic behind how these numbers are related:

  1. First, consider the pair 40 and 53. Check the difference between these numbers: 53 - 40 = 13.
  2. Next, observe the pair 8 and 13. Similarly, compute the difference: 13 - 8 = 5.

Now, identify consistent logic applicable to both pairs:

  • In both cases, the given number is increased by 13 (in the first pair) and by 5 (in the second pair) to obtain the related number.

To determine the number related to 68 using similar logic, observe the pattern in the earlier examples. Here, we will use the same increase amount:

  1. Since the logic for the first pair (40 to 53) was an increase by 13, and for the second pair (8 to 13), it was an increase by 5, for 68, apply one of these patterns.
  2. Upon applying the logic of increasing by 17 (summing the additions from previous steps: 13 and 5), we get 68 + 17 = 85.

Hence, the number to which 68 is related, following the same logic, is 85. Now let's check against the options given:

  • Option 1: 84
  • Option 2: 85 (Correct)
  • Option 3: 83
  • Option 4: 73

Therefore, the correct option is 2.85.

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Important Questions from Puzzle

  1. Seven friends O, P, Q, R, S, T and U are watching a movie sitting in a row. S is sitting at one extreme end. P is sitting second to the right of S. P is sitting between O and Q. U is NOT sitting at any extreme end. R Is sitting to the immediate left of T. Q does not sit beside S.Who is sitting at the extreme left end?

  2. If a rope 84 m long is divided in the ratio 7 : 5, then the length of the longer piece (in m ) is:
  3. What should come in place of the question mark (?) in the given series? 
    86, 88, 90, 92, 94, ?

  4. 21 is related to 220 by certain logic. Following the same logic, 72 is related to 781. To which of the following is 27 related, following the same logic?

    (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 /deleting /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.)

  5. Three of the following numbers are alike in a certain way and one is different. Pick the odd one out. (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/deleting/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.)

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