Logical Reasoning

Logical Sequence

Medium

Choose the correct answer from the options given below :

(A) - (IV), (B) - (III), (C) - (I), (D) - (II)

(A) - (IV), (B) - (III), (C) - (II), (D) - (I)

(A) - (III), (B) - (IV), (C) - (II), (D) - (I)

(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

✅ Correct Option: 1

Let's look at A first.

From $149$ to $175$ , the difference is $26$ .

From $175$ to $203$ , the difference is $28$ .

We can see the difference increases by 2, hence $?$ should be $203+30=233.$

Hence, A matches (IV). We can eliminate Options 3 and 4.

In both Options 1 and 2, B matches (III).

If someone approaches by solving B first, then we can see that the $?$ must be a number which is square of $3$ i.e $9$

$3^2=9$

$9^2=81$

$81^2=6561$

C is a bit tricky.

0 can be written as $1^3-1=0$

7 can be written as $2^3-1=8-1=7$

26 can be written as $3^3-1=27-1=26$

Hence, $?$ should be $4^3-1=64-1=63.$

C matches (I).

D can be solved as

$9+2^2=13$

$13+3^2=22$

$22+4^2=38$

Hence, $?$ should be $38$ .

D matches (II).

Option 1 is the only one to have all these matches so far, hence it's the answer.

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