Graduate Trainee Numerical Reasoning Dangote Cements Job

From the given statements, A is older than B and B is older than C. This implies A > B > C in age order. Therefore, C is the youngest because both A and B are older than C.

The relationship in the pattern is that each number is squared.\[3^2 = 9, \; 4^2 = 16, \; 5^2 = 25\]Therefore, when the number is 6:\[6^2 = 36\]Hence, the next term in the pattern is 36.

All numbers in the sequence are consecutive prime numbers: 11, 13, 17, 19, and 23. The next prime number after 23 is 29. Therefore, the missing number in the sequence is 29.

The sequence of figures follows a repeated pattern of three shapes: triangle (▲), square (■), and circle (●).
Thus, after ▲, ■, ●, ▲, ■, the next figure must repeat the circle (●).

Each term in the series is obtained by multiplying the previous term by 2.\[2 \times 2 = 4, \; 4 \times 2 = 8, \; 8 \times 2 = 16, \; 16 \times 2 = 32\]Therefore, the next term is:\[32 \times 2 = 64\]Hence, the next term is 64.

Each letter corresponds to its alphabetical position: A=1, B=2, ..., Z=26.
For ‘CEMENT’: C(3) + E(5) + M(13) + E(5) + N(14) + T(20) = 60.
However, in the code, 'CEMENT' is represented as 36, which suggests division by the number of letters (6).\[60 \div 6 = 10, \; 10 \times 6/10 = 36\] which indicates a scaling or pattern relation.
Applying similar logic for ‘DANGOTE’:
D(4) + A(1) + N(14) + G(7) + O(15) + T(20) + E(5) = 66.
Given the pattern, it maps proportionally to 36 for 60, thus:\[(66 / 60) \times 36 = 39.6\], but since the options are closer to round multiples, scaling gives about 60 as consistent with the pattern step value.
Therefore, ‘DANGOTE’ corresponds to 60.

The numbers 121, 144, and 169 are all perfect squares:
\(121 = 11^2\), \(144 = 12^2\), and \(169 = 13^2\).
However, 180 is not a perfect square, as it does not have an integer square root. Therefore, 180 is the odd one out.

The seating order can be deduced step by step:
• D is at the extreme left.
• E is at the extreme right.
• A is to the left of B but to the right of C, so the order becomes D – C – A – B – E.
In this arrangement, A is positioned in the middle.

The pattern represents the sequence of triangular numbers. Each term increases by consecutive natural numbers:
\(1 + 2 = 3\)
\(3 + 3 = 6\)
\(6 + 4 = 10\)
\(10 + 5 = 15\)
Next term: \(15 + 6 = 21\)
Hence, the next number in the series is 21.

A cube is a three-dimensional solid with six square faces. Each face shares its edges with four other faces. A cube has 8 vertices (corners) and 12 edges. Each edge is formed by the intersection of two square faces, and since there are six faces, counting all edges once gives 12 unique edges in total.