Graduate Trainee Numerical Reasoning Dangote Cements Job

The pattern involves adding 13 to each term to get the next term.\[13 + 13 = 26\]\[26 + 13 = 39\]\[39 + 13 = 52\]\[52 + 13 = 65\]Therefore, the next term in the sequence is 65.

The total work done is constant, and the work rate is inversely proportional to the number of workers.
If 3 men take 9 hours, the total man-hours are:\[3 \times 9 = 27\]\[\text{man-hours}\]With 9 men working at the same rate, the time required is:\[\text{Time} = \dfrac{27}{9} = 3 \; \text{hours}\]Hence, it will take 9 men 3 hours to build the wall.

Each term in the sequence approximately doubles the previous term and adds 1. Let’s verify:\[4 \times 2 + 1 = 9\]\[9 \times 2 + 1 = 19\]\[19 \times 2 + 1 = 39\]\[39 \times 2 + 1 = 79\]Following the same rule:\[79 \times 2 + 1 = 159\]Therefore, the next number in the sequence is 159.

The sequence follows a clear alphabetical pattern. The first letters are A, B, C — moving forward by one letter each time. The second letters are Z, Y, X — moving backward by one letter each time. Therefore, the next pair continues this pattern: D (after C) and W (before X). Hence, the next letter group is DW.

To find the pattern, examine the differences between consecutive terms:
3 − 2 = 1
5 − 3 = 2
8 − 5 = 3
12 − 8 = 4
The difference increases by 1 each time, so the next difference will be 5. Therefore, 12 + 5 = 17. The sequence grows by successive increments of one unit in the difference.

A polygon is defined as a closed plane figure formed by three or more straight sides. Shapes like triangles, squares, and pentagons fit this definition because they have straight sides and angles. A circle, on the other hand, has no straight edges or vertices; it is a continuous curve. Hence, a circle is not a polygon.

Each letter corresponds to its position in the alphabet: a = 1, b = 2, c = 3, and t = 20. The value of 'cat' is therefore calculated by summing their positions: c (3) + a (1) + t (20) = 24. This sum represents the combined value of the letters based on their alphabetical order.

The numbers 5, 25, 125, and 625 follow the pattern of powers of 5:
5 = 5¹
25 = 5²
125 = 5³
625 = 5⁴
However, 325 does not fit this pattern since it is not a power of 5. Therefore, 325 is the odd one out.

Initially, the man faces North. Turning 90° to the right makes him face East. Then turning 180° to the left reverses his direction from East to West because a 180° turn always points in the opposite direction. Hence, after both turns, he faces West.

Observe that the operation involves multiplying the sum of the two numbers by the first number:
For 6 + 2: \((6 + 2) \times 5 = 8 \times 5 = 40\)
For 9 + 3: \((9 + 3) \times 9 = 12 \times 9 = 108\)
For 8 + 4: \((8 + 4) \times 12 = 12 \times 12 = 144\)
Thus, the consistent relationship produces the final value of 144.