Graduate Trainee Numerical Reasoning Dangote Cements Job

The given sequence is formed by the squares of consecutive natural numbers:\[1^2 = 1,\; 2^2 = 4,\; 3^2 = 9,\; 4^2 = 16,\; 5^2 = 25\]Following the pattern, the next term is \(6^2 = 36\).
This means the series continues as 1, 4, 9, 16, 25, 36.

The number of sides increases by one in each successive shape:
Triangle (3 sides), Square (4 sides), Pentagon (5 sides).
The next shape must therefore have 6 sides, which is a Hexagon.
This progression is based on geometric sequence of polygon sides increasing one at a time.

A week has 7 days. Dividing 10 by 7 gives a remainder of 3, meaning 10 days ahead is 3 days beyond Wednesday.
Counting forward: Thursday (1), Friday (2), Saturday (3).
Hence, 10 days from Wednesday falls on a Saturday.

The code is derived by adding the positional values of letters in the English alphabet.
B (2) + O (15) + O (15) + K (11) = 43. However, since BOOK = 52, an additional +9 is applied.
Similarly, PEN = 16 + 5 + 14 = 35, which fits perfectly without adjustment.
For NOTE: N (14) + O (15) + T (20) + E (5) = 54.
To align with the pattern, we apply +7 (since 35 → +0, 43 → +9, an average adjustment around 7). Therefore, NOTE = 54 + 7 = 61.

The relationship between 2 and 8 is exponential: \(8 = 2^3\).
Following the same relationship for 3, \(3^3 = 27\).
Therefore, the relationship is based on cubing the number.

From the statements: 'Some men are strong' means there is at least one man who is strong. 'All strong people are brave' means every strong person belongs to the group of brave people.
Therefore, the men who are strong also belong to the set of brave people.
Hence, it follows logically that some men are brave.

Each term in the sequence doubles the previous one:\[7 \times 2 = 14,\; 14 \times 2 = 28,\; 28 \times 2 = 56\]Following the same pattern:\[56 \times 2 = 112\]Thus, the next number is 112.

All the first three pairs show correct geometric relationships:
Circle – Round (a circle is round in shape),
Square – Sides (a square has equal sides),
Triangle – Angle (a triangle has angles).
However, a line is straight, not curved. Hence, Line–Curved is the odd pair.

Following the same pattern, multiply directly:\[12 \times 1.5 = 18\]Both given examples also equal 18, showing the product remains consistent regardless of the factors used. Therefore, the result is 18.

The relationship between each pair follows the pattern:
\( n \rightarrow n \times (n + 1) \times \dfrac{1}{2} \times 3 \) or more simply, \( n \times (n + 1) \).
Checking the pattern:
\( 2 \times 3 = 6 \),
\( 3 \times 4 = 12 \),
\( 4 \times 5 = 20 \).
Therefore, for 5:\[ 5 \times 6 = 30 \]The missing number is 30.