Odd One Out – Railway Reasoning

22 × 2 – 10 = 34
11 × 2 – 10 = 12 ⇒ 25 × 2 – 10 = 40 ≠ 42
17 × 2 – 10 = 24

n³ : (n + 2)³
4³ : 6³ = 64 : 216 ⇒ 6³ : 8³ = 216 : 512
5³ : 7³ = 125 : 343 ⇒ 7³ : 9³ = 343 : 729
Option d is correct

(a) 82 – 729 = (9² + 1) – (9)³
(b) 26 – 125 = (5² + 1) – (5)³
(c) 50 – 343 = (7² + 1) – (7)³
(d) 62 – 512 = (8² + 1) – (8)³

ROW = R - 3 = O, O + 8 = W
OLT = O - 3 = L, L + 8 = T
VSA = V - 3 = S, S + 8 = A
LIR = L - 3 = I, I + 9 = R

In (125, 512), ⇒ (∛125 + 3)³ = 512
In (64, 1331), ⇒ (∛64 + 3)³ ≠ 1331
In (343, 1000), ⇒ (∛343 + 3)³ = 1000
In (216, 729), ⇒ (∛216 + 3)³ = 729
We can clearly see in the above expression that all three follow the same logic except (64, 1331).

In (LR9, PU55) ⇒ L + 4 = P, R + 3 = U,
9 × 5 = 55
In (DL5, HP25) ⇒ D + 4 = H, L + 4 = P,
5 × 5 = 25
In (HP7, LT35) ⇒ H + 4 = L, P + 4 = T,
7 × 5 = 35
In (PJ3, TN15) ⇒ P + 4 = T, J + 4 = N,
3 × 5 = 15
We can clearly see in the above expression that all three are following the same logic except (LR9, PU55).

From the given four options, Chalk, Pen, Marker are the tools for writing something.
Whereas a book is something which we read. So, Book is different from others here.

For the word pairs, Head : cap [we wear cap on our head],
Hand : glove [we wear gloves in our hand], Gift : gift wrap [we wrap gift wraps around gifts],
But for the word pair, Paper : Note, this analogy does not hold.

35 = 3 + 5 = 8
41 = 4 + 1 = 5 ⇒ 37 = 3 + 7 = 10
39 = 3 + 9 = 12
After adding these numbers we can see that 5 is the only odd number other are even numbers. So here 41 is the answer.

From the given options, the three letter clusters EIK, CGI, AEG are alike because for them 1st alphabet +4 = second alphabet and second alphabet +2 = third alphabet.
On the other hand, for FHJ ⇒ 1st alphabet +2 = second alphabet and second alphabet +2 = third alphabet.