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)

(121, 81, 2)

(88, 54, 2)

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 1)
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  1. (13, 5, 9)
  2. (78, 6, 45)
  3. (31, 56, 98)
  4. (77, 18, 5)

Answer (Detailed Solution Below)

Option 4 : (77, 18, 5)
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Detailed Solution

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Given:

(121, 81, 2)

(88, 54, 2)

Logic: Third no. = [(First no. ÷ 11) - (Second no. ÷ 9)]

(121, 81, 2) 

⇒ [(121 ÷ 11) - (81 ÷ 9)]

⇒ (11 - 9) = 2

(88, 54, 2) 

⇒ [(88 ÷ 11) - (54 ÷ 9)]

⇒ (8 - 6) = 2

Checking all the given options:

1. (13, 5, 9)

⇒ [(13 ÷ 11) - (5 ÷ 9)]

⇒ (1.18 - 0.55) = 0.625

2. (78, 6, 45)

⇒ [(78 ÷ 11) - (6 ÷ 9)]

⇒ (7.09 - 0.66) = 6.394

3. (31, 56, 98)

⇒ [(31 ÷ 11) - (56 ÷ 9)]

⇒ (2.81 - 6.22) = (-3.41)

4. (77, 18, 5)

⇒ [(77 ÷ 11) - (18 ÷ 9)]

⇒ (7 - 2) = 5

Here, (77, 18, 5) shows a similar relation to the given set of numbers.

Hence, the correct answer is "Option (4)".

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