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.)
6-36-46-92; 7-49-59-118
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A.
5-25-35-70
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B.
4-16-26-62
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C.
3-9-29-58
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D.
8-64-74-138
Correct Answer:
A. 5-25-35-70
Explanation:
The correct answer is Option A: 5-25-35-70.
The pattern followed in the given sets (6-36-46-92 and 7-49-59-118) is as follows: - The second number is the square of the first number (6 squared is 36; 7 squared is 49).
- The third number is obtained by adding 10 to the second number (36 + 10 = 46; 49 + 10 = 59).
- The fourth number is the third number multiplied by 2 (46 \* 2 = 92; 59 \* 2 = 118).Applying this logic to the options:
In Option A (5-25-35-70): - 5 squared is 25.
- 25 + 10 is 35.
- 35 \* 2 is 70.
Since this follows the exact same sequence of operations, it is the correct choice. Other options fail at different stages of this mathematical pattern.
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