Graduate Trainee Numerical Reasoning Dangote Cements Job

To determine the next term in the sequence, observe the pattern of differences between consecutive numbers.
The rule states that the differences alternate as +3, +5, +7, and so on — each time increasing by 2.

Let's reconstruct the pattern step by step:
• Start with a base number (not specified, but we can focus on the difference pattern).
• The given rule indicates the next difference after +7 will be +9, since the differences follow the arithmetic progression of odd numbers (+3, +5, +7, +9, ...).

Given the last known term is 20, the next term will be obtained by adding the next difference (+9):\[20 + 9 = 29\]This continues the sequence correctly as each difference increases by 2 each time. The resulting number after 20 is therefore 29.

In the first row, the sum is \(2 + 5 + 3 = 10\). The rule states that all row sums are equal to 10.
In the second row, we have \(4 + 1 + ? = 10\).
Subtract the known values from 10:
\(10 - (4 + 1) = 10 - 5 = 5\).
Therefore, the missing number is 5, ensuring that the sum of the row remains 10.

To determine whether a sequence is arithmetic, check if the difference between consecutive terms is constant.
The given sequence is 3, 7, 11, 15.
Calculate differences:
7 − 3 = 4
11 − 7 = 4
15 − 11 = 4
Since the common difference is 4, the sequence is arithmetic. Therefore, it is not non-arithmetic but an arithmetic progression.

The sequence 2, 3, 5, 7, 11 represents consecutive prime numbers.
The next prime number after 11 is 13.
Therefore, continuing the pattern of prime numbers, the next term in the sequence is 13.

Let the five consecutive integers be \(x - 2, x - 1, x, x + 1, x + 2\).
Their sum is:\[(x - 2) + (x - 1) + x + (x + 1) + (x + 2) = 5x\]We are told the sum is 75, so:\[5x = 75\]\[x = 15\]The middle integer is 15.

A rectangle, trapezoid, and square each have four sides, classifying them as quadrilaterals.
A pentagon, however, has five sides, making it the only shape that does not fit the pattern of having four sides.
Hence, the pentagon is the odd one out.

Given the conditions:
Paul arrives before Q → \(P < Q\)
Q arrives before R → \(Q < R\)
Combining both gives \(P < Q < R\).
This means R arrives after both Paul and Q, making R the last to arrive.

This is a Fibonacci sequence where each term is the sum of the two preceding ones:
\(1, 1, 2, 3, 5, 8, ?\)
Next term = 5 + 8 = 13.
Therefore, the next number in the sequence is 13.

The rule is: each term = (previous term × 2) − 1.
Starting with 3:
Next = (3 × 2) − 1 = 5
Next = (5 × 2) − 1 = 9
Next = (9 × 2) − 1 = 17
Thus, following the same rule, the next term in the sequence is 17.

Observe the pattern separately for letters and numbers.
Letters: A → B → D → G → ?
The letter positions increase by +1, +2, +3 respectively, so the next increase should be +4.
G (7th letter) + 4 = K (11th letter).
Numbers: 1 → 2 → 4 → 7 → ?
The difference increases by +1, +2, +3, so next difference = +4 → 7 + 4 = 11.
Hence, the next term is K11.