All Exams Test series for 1 year @ ₹349 only
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.

Was this answer helpful?

Similar Questions

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

    (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)

    (52, 34, 43)

    (61, 33, 47)

  2. 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)

    (221, 144, 73)

    (222, 153, 75)

  3. Select the set in which the numbers are related in the same way as the numbers of the given 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.)

    (111, 117, 123)

    (169, 200, 231)

  4. Select the set in which the number are related in the same way as the numbers of the given 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.)

    (17, 87, 104)

    (20, 102, 122)

  5. Select the set in which the number are related in the same way as the numbers of the given 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.)

    (9, 7, 189)

    (4, 13, 156)

  6. 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.)

    (4, 60, 5)

    (5, 90, 6)

  7. Select the set in which the numbers are related in the same way as the numbers of the given 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.)

    (20, 16, 8)

    (10, 13, 12)

  8. Select the set in which the numbers are related in the same way as the numbers of the given 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.)

    (12, 9, 4)

    (18, 9, 6)

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

    16 : 50 :: 49 : ? :: 144 : 338

  10. 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)

    (75, 55, 70)

    (65, 55, 68)


Important Questions from Letter and Number Based

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

    (4, 25, 105)

  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.

    267 : 5 :: 549 : ?

  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.

    0.13 : 0.0169 :: 0.09 : ?

  4. Select the option that is related to the third number on the same basis as the second number is related to the first number.

    13 ∶ 0.07692 ∶∶ 14 ∶ ?

  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.

    343 ∶ 49 ∶∶ 729 ∶ ? 

Need Expert Advice?
Upcoming Exams
SSC CPO
November 23, 2026
SSC CHSL
November 30, 2026
Test Series
SSC Stenographer img
SSC
SSC Stenographer 2026 Mock Test Series (Latest Version)
1178 Tests 2 Tests Free
3271 Attempts
4.6(277)
English, Hindi

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App