Question Details

Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. e.g., 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

48 – 50 – 46 – 52; 37 – 39 – 35 – 41

Options

A

26 – 28 – 24 – 30

B

21 – 23 – 29 – 27

C

19 – 17 – 21 – 25

D

15 – 13 – 9 – 19

Show Answer

Correct Answer :

Option A

26 – 28 – 24 – 30

26 – 28 – 24 – 30

Solution :

The correct option is 26 – 28 – 24 – 30.

To find the correct option, let us analyze the mathematical operations logic applied to the numbers within the given sets.

Set 1: 48 – 50 – 46 – 52
Let us find the relationship between consecutive numbers in this set:
1. Operation from the 1st to the 2nd number:
48+2=50
2. Operation from the 2nd to the 3rd number:
50-4=46
3. Operation from the 3rd to the 4th number:
46+6=52
Thus, the pattern of operations for the first set is + 2, - 4, + 6.

Set 2: 37 – 39 – 35 – 41
Let us verify if the same pattern applies to the second set:
1. Operation from the 1st to the 2nd number:
37+2=39
2. Operation from the 2nd to the 3rd number:
39-4=35
3. Operation from the 3rd to the 4th number:
35+6=41
The pattern + 2, - 4, + 6 is consistent in both sets.

Now, let us test the given options to find which one follows the same logic:

Checking Option 1: 26 – 28 – 24 – 30
1. Operation from the 1st to the 2nd number:
26+2=28 (Matches "+ 2")
2. Operation from the 2nd to the 3rd number:
28-4=24 (Matches "- 4")
3. Operation from the 3rd to the 4th number:
24+6=30 (Matches "+ 6")
Since all operations match the pattern + 2, - 4, + 6, this option is correct.

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