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Question

Select the pair which is related to each other in the same way as the following - 

13:676 
6:144 

(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

8:256

The pattern in the given pairs is that the second number is the square of the first number multiplied by 4. Let's verify this:

  • For 13:676, we have \(13^2 \times 4 = 169 \times 4 = 676\).
  • For 6:144, we have \(6^2 \times 4 = 36 \times 4 = 144\).

Now let's check the options:

  • Option 1 (4:192): \(4^2 \times 4 = 16 \times 4 = 64 \neq 192\)
  • Option 2 (8:256): \(8^2 \times 4 = 64 \times 4 = 256\). This matches the pattern.
  • Option 3 (6:288): \(6^2 \times 4 = 36 \times 4 = 144 \neq 288\)
  • Option 4 (15:225): \(15^2 \times 4 = 225 \times 4 = 900 \neq 225\)

Therefore, the only option that follows the same pattern is 8:256.

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Similar Questions

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

    (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.)

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Important Questions from Letter and Number Based

  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.

    22 : 441 :: 13 : ?
  2. 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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  3. Select the option which is related to the third number in the same way as the second number is related to the first number.

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

    77 : 11 :: 259 : ?

  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.

    15 : 270 :: 13 : ?
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