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Below are given two sets of numbers. In each set of numbers, a certain mathematical operation on first number results in the second number. Similarly, certain mathematical operation on second number results in the third number and so on. Which of the given options follows the same set of operations as in question? (NOTE – A two/three digit number cannot be broken into individual digits for operations e.g. if 37 is followed by 10, the operation cannot be 3+7 as a two digit number cannot be broken into individual digits)
2 – 14 – 44 – 88; 5 – 35 – 65 – 130
7 – 49 – 79 – 158
11 – 121 – 152 – 162
13 – 39 – 122 – 142
14 – 64 – 94 – 144
7 – 49 – 79 – 158
Check the last operation first: 88=44×2 and 130=65×2. Looking at options, only 158=79×2 (Option A) and 142=122×2 (Option C) fit this end rule, immediately eliminating B and D.
Set 1: 2 - 14 - 44 - 88; Set 2: 5 - 35 - 65 - 130
Step 1: x×7,Step 2: y+30,Step 3: z×2
Check the last operation first: 88=44×2 and 130=65×2. Looking at options, only 158=79×2 (Option A) and 142=122×2 (Option C) fit this end rule, immediately eliminating B and D.
Attempting to break digits (e.g., 3+7) which is explicitly forbidden by the question instructions.
Analyze the pattern in given Set 1
Examine the operations between consecutive numbers in 2−14−44−88:
2×7=14,14+30=44,44×2=88
Analyze the pattern in given Set 2
Examine the operations between consecutive numbers in 5−35−65−130:
5×7=35,35+30=65,65×2=130
Identify the common rule
The consistent sequence of operations applied to the numbers is: multiply the first number by 7, add 30 to the result, and then multiply by 2.
a×7b+30c×2d
Test Option A
Check if 7−49−79−158 follows the same sequence:
7×7=49,49+30=79,79×2=158
A is correct because the sequence 7−49−79−158 strictly follows the identical operational sequence (×7,+30,×2).
In number analogy questions with multi-step sets, quickly test the relationship between the final two numbers first to eliminate 50% of the options instantly.
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