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Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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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)
4 - 8 - 10 - 12 ; 3 - 6 - 8 - 10
7 - 14 - 16 - 20
10 - 20 - 22 - 26
9 - 18 - 20 - 24
1 - 2 - 4 - 6
1 - 2 - 4 - 6
Given: Two given sets following a specific operational rule: Set 1 = 4 - 8 - 10 - 12 and Set 2 = 3 - 6 - 8 - 10
Two given sets following a specific operational rule: Set 1 = 4 - 8 - 10 - 12 and Set 2 = 3 - 6 - 8 - 10
a×2b+2c+2d
Check the sequence operations: 1st to 2nd is ×2, 2nd to 3rd is +2, 3rd to 4th is +2. Quick check: Option D is 1×2=2, 2+2=4, 4+2=6.
Confusing the addition steps with multiplication or trying to split digits like 10→1+0, which is explicitly forbidden by the question constraints.
Analyze Set 1 Operations
Identify the operation between consecutive terms in the first given set: 4−8−10−12.
4×28+210+212
Analyze Set 2 Operations
Verify if the second set 3−6−8−10 follows the exact same pattern.
3×26+28+210
Establish Rule Pattern
The defined pattern across all numbers is: 1st to 2nd term is multiplied by 2, 2nd to 3rd term is increased by 2, and 3rd to 4th term is increased by 2.
Pattern: (a,2a,2a+2,2a+4)
Test Option D
Apply the rule (a,2a,2a+2,2a+4) to Option D: 1−2−4−6. Here a=1.
1×22+24+26
D is correct because applying the operation pattern (×2,+2,+2) to the starting number 1 yields the set 1−2−4−6, which perfectly matches the question's operational rule.
In reasoning paper series and set-analogy questions, always test operations on the overall number first before trying complex relations, and strictly adhere to note constraints preventing digit-splitting.