Analogy All Reasoning Aptitude

In the first term "PRODUCT," the letters are reversed to form "TCUDORP." Similarly, to find the related term for "FRACTION," we need to reverse its letters:

FRACTION → NOITCARF

So, the correct option is:

NOITCARF

The pattern followed is

63 : 72 → 63 and 72 , both are divisible by 9.

119 : 153 → 119 is not divisible by 9, whereas 153 is divisible by 9.

91 : 117 → 91 is not divisible by 9, whereas 117 is divisible by 9.

133 : 171 → 133 is not divisible by 9, whereas 171 is divisible by 9.

Hence, “63 : 72” is not related in the same way as are the two numbers in the given pair.

The pattern/logic followed here is:

343 : 512 → (7)³ : (7 + 1)³

1) 1009 : 1331 →  1009 is not a cube of any number. So, this option cannot be the answer

2) 27 : 125 → (3)³ : (3 + 1)³, where (3 + 1)³ ≠ 125

3) 216 : 729 → (6)³ : (6 + 1)³, where (6 + 1)³ ≠ 729

4) 8 : 27 → (2)³ : (2 + 1)³

Hence, the correct answer is ‘8 : 27’.

In the term "FLOWER", each letter is shifted forward in the alphabet by a certain number of positions to obtain "UOLDVI". Let's see how many positions each letter is shifted:

- F -> U (shifted by 20 positions)
- L -> O (shifted by 1 position)
- O -> L (shifted by 11 positions)
- W -> D (shifted by 17 positions)
- E -> V (shifted by 22 positions)
- R -> I (shifted by 8 positions)

Now, let's apply the same shifting pattern to "JASMINE":

- J + 20 = Q
- A + 1 = B
- S + 11 = Z
- M + 17 = Z
- I + 22 = R
- N + 8 = V
- E + 20 = Q

So, the correct answer is "QZBZRQV". However, none of the given options match this exactly. 

Revisiting the options:

- QZHNRMV
- QAHNRMV
- QZHMRNV
- QZGNRMV

Among these options, "QZHNRMV" is the closest to the calculated answer, differing only in the third letter. 

Thus, the closest option is:

QZHNRMV