MAH MBA CET Analogy Questions

The logic followed here for the analogy is,
For a number XY, the corresponding term is $$X^2+Y^2$$

So, for 96 it is 117, 
Using the same logic for 75, we get 49+25=74. 

Here, we notice that $$82\ =2\times\ \ \left(4^2+5^2\right)$$

Hence, the second number should be $$\ \left(5^2+6^2\right)=2\times\ 61$$

26:40

The pattern here is $$2^2$$+$$6^2$$ = 4+36 = 40

38 $$\Rightarrow$$ $$3^2+8^2$$ = 9+64  =73.

Looking at the position of the characters in the alphabetical sequence, we see that K is 11th from the start and P is 11 from the end. 

Simialrly, O is 15th from the start, and L is 15th from the end. 

The sum of their positions adds up to 27 each. 

We want to find a parallel to GA. 

A is 1st from the start, so the parallel should be Z, 1st from the end. 

G is 7th from the start, so the parallel should be T, 7th from the end. 

Therefore, the fourth term should be TZ.

Hence, Option A is the correct answer. 

58: 169 :: 62:?

The relationship between the given pair of numbers is
169 = $$(5+8)^2$$
Hence, using the same logic, the missing number will be
$$(6 + 2)^2 = 64$$
Hence, option C is the correct answer.

D 25 F $$\Rightarrow$$ 4 25 6

W 2 U $$\Rightarrow$$ 23 2 21

Adding the corresponding number is summing to 27.

With the same logic M 8 T (13 8 20) will be coded as (14 19 7) N 19 G.

$$121 = 5^3 - 4$$
$$211 = 6^3 - 5$$
$$337 = 7^3 - 6$$
Therefore, $$505 = 8^3-7$$
Hence, the Option B is the answer

7*10 = 64 => 7 X 10 - 2(10-7) = 64
3*8 = 24 => 3 X 8 - 2(8-3) = 14
=> 11*12 = 11 X 12 - 2(12-11) = 132 - 2 = 130

All the letters are replaced by the letter that is 4 places ahead and then, the positions are reversed.
F + 4 = J, G + 4 = K, H + 4 = L, S + 4 = W.
Now, the order of the letters is reversed. Hence, the code for FGHS will be WLKJ.
For ASTV the code will be,
A + 4 = E, S + 4 = W, T + 4 = X, V + 4 = Z. Now, the order is reversed. The final code will be ZXWE.
Hence, option D is the correct answer.

Expression = GMW : EIOKUY : : FPT : ?

The pattern followed is that the preceding and next alphabets of each letter is written on the right side.

Eg : G-2=E; G+2 = I

M+2=O; M-2=K

W-2=U; W+2 = Y

Thus, GMW : EIOKUY

Similarly, 

=> FPT : DHRNRV