NIMCET 2007 — Reasoning PYQ

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Question

NIMCET 2007 — Reasoning PYQ

NIMCET | Reasoning | 2007

Choose the correct answer:

Explanation

To solve this puzzle, we need to analyze the mathematical relationship between the numbers inside the inner triangular sectors and the numbers written on the corresponding outer curved segments.

Let's pair each inner number with its adjacent outer number:

Top sector: Inner number is $2$ , Outer number is $9$ .
Left sector: Inner number is $7$ , Outer number is $13$ .
Bottom sector: Inner number is $6$ , Outer number is $10$ .
Right sector: Inner number is $4$ , Outer number is $?$ .

Step 1: Identify the Pattern

Let's check the relation between the inner and outer numbers by testing basic operations (multiplication and addition):

For the Top sector:
$(2 \times 2) + 5 = 4 + 5 = 9$
For the Left sector:
$(7 \times 2) - 1 = 14 - 1 = 13$
(The logic does not match uniformly across multiplication. Let's try another combination by linking opposite sectors.)

Step 2: Alternative Logic (Opposite Sectors Relation)

Let's look at the relationship across opposite sectors or adjacent elements. Notice the sum or differences:

Top and Bottom Inner Numbers: $2$ and $6 ⟹ 2 + 6 = 8$
Left and Right Inner Numbers: $7$ and $4 ⟹ 7 + 4 = 11$

Let's check the relationship between the inner number and its corresponding outer segment directly:

$Outer Number = (2 \times Inner Number) + Constant Value$

Let's test another uniform pattern where we look at the difference:

Left side: $13 - 7 = 6$
Top side: $9 - 2 = 7$
Bottom side: $10 - 6 = 4$

Notice the results of $(Outer - Inner)$ : $6, 7, 4$ . These are exactly the other numbers present inside the central triangle!

Let's map it clearly:

Top outer minus top inner: $9 - 2 = 7$ (which is the inner number on the left)
Left outer minus left inner: $13 - 7 = 6$ (which is the inner number on the bottom)
Bottom outer minus bottom inner: $10 - 6 = 4$ (which is the inner number on the right)

Step 3: Find the Missing Value ( $?$ )

Following the exact same clockwise shifting pattern:

$Right outer - Right inner = Top inner$

$(?) - 4 = 2$

$(?) = 2 + 4$

$(?) = 6$

Final Answer

The correct option is (b) 6.