NIMCET 2010 — Reasoning PYQ

• Starting from the top point and going to the bottom:

  The number at the top point is $1$. The number at the bottom point is $19$.

  $1+18=19$

• Looking at the bottom right point and top left:

  The number at the bottom right point is $5$. The number at the top left point is $15$.

  $5+10=15$ (Different pattern, let's look at the inner segments).

2. Analyze the inner and outer relationships (Opposite segments):

The numbers are arranged such that the number in the outer triangle is related to the number in the inner triangle directly opposite to it.

• Outer $17$ is opposite to inner $4$: $17-4=13$

• Outer $15$ is opposite to inner $2$: $15-2=13$

• Outer $19$ is opposite to inner $6$: $19-6=13$

• Outer $3$ is opposite to inner $16$: $16-3=13$

• Outer $5$ is opposite to inner $18$: $18-5=13$

3. Find the missing number:

Following the same logic of a constant difference of $13$:

The outer point is $1$ and it is opposite to the inner segment containing the question mark ($?$).

Conclusion:

The missing number is $14$.

The correct answer is (b) 14.