Graduate Trainee Numerical Reasoning Dangote Cements Job

The given sequence is 2, 6, 12, 20, 30, ?. To find the pattern, observe the differences between consecutive terms:
6 − 2 = 4
12 − 6 = 6
20 − 12 = 8
30 − 20 = 10
The differences increase by 2 each time (4, 6, 8, 10). The next difference will therefore be 12.
Adding 12 to the last term gives:
30 + 12 = 42.
Thus, the missing term in the series is 42.

The given pattern alternates letters and numbers, both increasing in a fixed order.
The letters follow this sequence: A, C, E, G — each skipping one letter (A → C → E → G → I).
The numbers follow this sequence: 1, 3, 5, 7 — increasing by 2 each time (1 + 2 = 3, 3 + 2 = 5, 5 + 2 = 7, 7 + 2 = 9).
Therefore, the next combination will be I9 — the next skipped letter 'I' and the next odd number '9'.

January, March, and August are all months of the year, whereas Sunday is a day of the week. The grouping of the first three options relates to months, making 'Sunday' the odd one out because it does not belong to the same category of time division.

The sequence represents perfect squares of consecutive natural numbers:
\(1 = 1^2, 4 = 2^2, 9 = 3^2, 16 = 4^2, 25 = 5^2, 36 = 6^2\).
The next number should therefore be \(7^2 = 49\).
This pattern follows the quadratic progression of \(n^2\), where \(n\) increases by 1 at each step.

Observe the transformation from JUNE → KVQF by comparing letters position-wise:
• J → K : next letter in the alphabet (+1).
• U → V : next letter in the alphabet (+1).
• N → Q : shifted forward to the next non-vowel consonant block (moves forward 3 positions: N→O→P→Q — vowels skipped in the intermediate step).
• E → F : next letter in the alphabet (+1).
A consistent rule that matches the given code is therefore: shift the 1st, 2nd and 4th letters forward by one position; shift the 3rd letter forward to the next consonant in the alphabetic sequence (skipping intervening vowels).
Apply this same rule to MAY:
• M → N (first letter +1).
• A → B (second letter +1).
• Y → Z (third letter advanced to the next consonant — Y → Z; Z is the next consonant/non-vowel after Y).
Putting those results together gives NBZ.

Look for a common property among the numbers: 4, 8, 16 and 32 are all powers of two (\(2^2, 2^3, 2^4, 2^5\) respectively). 20 is not a power of two and therefore breaks the pattern. That makes 20 the odd one out.

The sequence follows a clear geometric pattern where each term is multiplied by 3 to obtain the next term.\[3 \times 3 = 9\]\[9 \times 3 = 27\]\[27 \times 3 = 81\]\[81 \times 3 = 243\]Therefore, the next term in the sequence is 243, as it continues the consistent multiplication by 3 rule.

A cube cut into 27 smaller cubes means it is divided into \(3 \times 3 \times 3\).
Each face of the large cube will have \(3 \times 3 = 9\) small cubes.
Only the centre cube on each face has exactly one painted side.
Since there are 6 faces, the total number of small cubes with one red face is \(6 \times 1 = 6\).
Hence, 6 small cubes each have only one red face.

The pattern increases by consecutive odd numbers.\[5 - 2 = 3\]\[10 - 5 = 5\]\[17 - 10 = 7\]\[26 - 17 = 9\]The next difference continues the pattern of increasing odd numbers, so the next difference is \(11\).\[26 + 11 = 37\]Therefore, the next term in the sequence is 37.

Table, Chair, and Sofa are all types of furniture primarily used for sitting or supporting objects in a room. However, a Window is a structural feature of a building, not a piece of furniture. It serves the purpose of ventilation and light rather than seating or support. Hence, 'Window' stands apart from the rest as it belongs to a different category entirely.