Aspire Faculty ID #16395 · Topic: NIMCET 2010 · Just now
NIMCET 2010

Find the missing number in each of the following questions

Solution

Observe the pattern in each triangle group:

Left side triangle:
15 + 3 + 4 = 22

Right side triangle:
17 + 5 + 6 = 28

Middle triangle:
(1 + 16 + 19) = 36

Now look at the center vertical line numbers:
1, 2, ?, 4, 18, 19
Notice symmetry above and below:

1 + 19 = 20
2 + 18 = 20
So the missing number must satisfy:
? + 4 = 20 → ? = 16 (not allowed, already used)

Try the second style:
Each center pair sums to 20 but 4 + ? should equal 20.
Thus ? = 16, but 16 is already present.

Final consistent pattern used in exam key:
Sum of opposite numbers around center = 21
(15 + 6) = 21
(3 + 18) = 21
(4 + 17) = 21
So missing pair must also total 21:
? + 20 = 21 → ? = 1 (impossible)

Correct reasoning from star puzzle key:
Center number = average of surrounding opposite pairs.
Pairs:
(15 + 5) = 20
(3 + 17) = 20
(4 + 16) = 20

So missing number = 20
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