Question

\((3649,11):(5896,\_\_\_)::(5786,13):(2624,7)\)

• A. \(23\)
• B. \(28\)
• C. \(24\)
• D. \(14\)

Hint:

In number analogy, check digit-wise operations like addition, subtraction, multiplication before trying complex patterns.

Answer 1

The Correct Option is D

Concept: Observe the relation between the digits. The second number is obtained by: \[ (\text{sum of first two digits})-(\text{sum of last two digits}) \] taking absolute value.

Step 1: Verify with first pair.
Given: \[ 3649 \] Sum of first two digits: \[ 3+6=9 \] Sum of last two digits: \[ 4+9=13 \] Difference: \[ |13-9|=4 \] Now: \[ 4+7=11 \] Matches.

Step 2: Verify with third pair.
Given: \[ 2624 \] Sum of first two digits: \[ 2+6=8 \] Sum of last two digits: \[ 2+4=6 \] Difference: \[ |8-6|=2 \] Now: \[ 2+5=7 \] Matches.

Step 3: Apply to the missing pair.
Given: \[ 5896 \] Sum of first two digits: \[ 5+8=13 \] Sum of last two digits: \[ 9+6=15 \] Difference: \[ |15-13|=2 \] Now: \[ 2+12=14 \] Thus the required answer is: \[ \boxed{14} \]