Medium

Choose the correct answer from the options given below :

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

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

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

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

✅ Correct Option: 2

Let's see for A. The series is $8,13,21,32,46,63,?$ We can see that the differences go like $5,8,11,14,17$, as in, they increase by 3 everytime. Hence, the next term should be $63+20=83.$ Hence, A matches with (III), so Options 3 and 4 are eliminated. Option 1 and 2, both have B matching with (I), so let's check for C. For C: $0,2,3,5,8,10,15,17,24,26,?$ This is an alternate series. Look at the alternate terms - $0,3,8,15,24,?$ where we can see the differences go like $3,5,7,9$, as in, they increase by 2 everytime. Hence, the next term should be $24+11=35.$ Hence, C matches with (IV). Option 2 is the only one that matches these answers so far, hence it's the answer.

Choose the correct answer from the options given below :

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