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).

(24, 9, 21)

(34, 16, 33)

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 1)

Answer 1

The pattern followed in the given sets is:

Logic: (First term ÷ 2) + Second term = Third term

Now we apply the pattern on the given sets:

(24, 9, 21)

(24 ÷ 2) + 9 = 21

12 + 9 = 21

21 = 21

(34, 16, 33)

(34 ÷ 2) + 16 = 33

17 + 16 = 33

33 = 33

Now we apply the pattern on the given options:

Option 1) (34, 8, 28)

(34 ÷ 2) + 8 = 28

17 + 8 = 28

25 ≠ 28

Option 2) (53, 6, 34)

(53 ÷ 2) + 6 = 34

26.5 + 6 = 34

32.5 ≠ 34

Option 3) (43, 17, 41)

(43 ÷ 2) + 17 = 41

21.5 + 17 = 41

38.5 ≠ 41

Option 4) (42, 9, 30)

(42 ÷ 2) + 9 = 30

21 + 9 = 30

30 = 30

So, (42, 9, 30) follows the same pattern as the given sets.

Hence, the correct answer is "Option 4".