Two sets of numbers are given below. In each set of numbers, certain…
2025
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: A two/three digit number cannot be broken into individual digits for operations. E.g., if 37 is followed by 0, the operation cannot be 3 + 7 as a two digit number cannot be broken into individual digits.)
8 - 32 - 128 - 139
16 - 64 - 256 - 267
- A.
28 - 112 - 784 - 795
- B.
34 - 136 - 544 - 555
- C.
50 - 155 - 775 - 787
- D.
41 - 205 - 1025 - 1036
Show answer & explanation
Correct answer: B
Concept: In a number-analogy question, every given set of numbers is produced by applying the same fixed sequence of arithmetic operations, in the same order, to the first number. To find the matching option, first derive the exact operation sequence from the given sets, then check which option's numbers are generated by applying that identical sequence to its own first number.
Application:
In the first given set, 8 is multiplied by 4 to get 32.
32 is multiplied by 4 to get 128.
11 is added to 128 to get 139.
In the second given set, 16 is multiplied by 4 to get 64.
64 is multiplied by 4 to get 256.
11 is added to 256 to get 267.
Both given sets therefore follow the identical operation sequence: multiply by 4, multiply by 4, add 11.
Cross-check:
Applying multiply by 4, multiply by 4, add 11 to 28 gives 112, 448, 459, which does not match the set 28 - 112 - 784 - 795.
Applying the same rule to 34 gives 136, 544, 555, which exactly matches the set 34 - 136 - 544 - 555.
Applying the same rule to 50 gives 200, 800, 811, which does not match the set 50 - 155 - 775 - 787.
Applying the same rule to 41 gives 164, 656, 667, which does not match the set 41 - 205 - 1025 - 1036.
Therefore, the set 34 - 136 - 544 - 555 is generated by exactly the same operation sequence as the two given sets, so it is the correct match.