Graduate Trainee Numerical Reasoning Dangote Cements Job

Examine the differences between consecutive terms to find the pattern.
The sequence is:
1, 2, 4, 7, 11, 16
The successive differences are:\[2-1=1,\;4-2=2,\;7-4=3,\;11-7=4,\;16-11=5\]These differences form the simple sequence 1, 2, 3, 4, 5 — each increasing by 1. The next difference should therefore be 6. Adding this to the last given term:\[16 + 6 = 22\]Thus the next term in the sequence is 22.

The arrow (→) indicates a mathematical relationship where each number is squared to produce the result. This means the operation performed is:\[n \to n^2\]For 15 → 225, \(15^2 = 225\).
For 25 → 625, \(25^2 = 625\).
Therefore, applying the same rule for 35 gives:\[35^2 = 1225\]Hence, the pattern is consistent with squaring each number. The result for 35 is 1225.

The sequence follows a clear pattern where each term is obtained by multiplying the previous term by 2.\[10 \times 2 = 20\]\[20 \times 2 = 40\]\[40 \times 2 = 80\]Continuing the same pattern:\[80 \times 2 = 160\]Therefore, the next number in the sequence is 160.

Directions on a compass are positioned 90° apart for cardinal points (North, South, East, West) and 45° apart for intercardinal points (North-East, North-West, South-East, South-West). The opposite of any direction is found by moving 180° around the compass. South-East lies midway between South and East, so its opposite direction, 180° away, is North-West. These two directions form a straight line through the centre of the compass rose, making them exact opposites.

Each number in the sequence is obtained by multiplying the previous number by 2.\[5 \times 2 = 10\]\[10 \times 2 = 20\]\[20 \times 2 = 40\]\[40 \times 2 = 80\]\[80 \times 2 = 160\]Hence, the next term in the sequence is 160, continuing the doubling pattern.

Square, Rectangle, and Triangle are polygons with straight sides, while a Circle has a continuous curved line with no sides or vertices. Therefore, Circle differs from the others because it is not a polygon.

The pattern follows : ((a x b) x 2) + 1
((2 × 3) × 2) + 1 = 13
((3 × 4) × 2) + 1 = 25
((4 × 5) × 2) + 1 = 41
Thus
((5 × 6) × 2) + 1 = 61

 

The letters increase by a fixed interval of 3 in the alphabet sequence.
D (4th) → G (7th) → J (10th) → M (13th) → P (16th).
Adding 3 to the position of P (16 + 3 = 19) gives the 19th letter, which is S.

Assign numerical values based on alphabetical positions: B=2, O=15, X=24. The sum is \(2 + 15 + 24 = 41\), but the code is 48, suggesting addition of 7 (the number of letters in 'BOX' × number of letters 3 + 6 =9?). Let's verify pattern with CAT: C=3, A=1, T=20, sum = 24 → code 36. The ratio 36/24 = 1.5, 48/32 = 1.5. Thus, the pattern is sum of letter positions × 1.5.
For DOG: D=4, O=15, G=7 → sum = 26.
\(26 × 1.5 = 39\), closest whole number rounded to nearest even number = 42.

A Triangle, Square, and Pentagon are closed geometric figures with sides and angles, making them polygons. A Line, however, is an open figure with only one dimension and no enclosed area. Therefore, Line does not belong in the group.