Graduate Trainee Numerical Reasoning Dangote Cements Job

From the given statements, all cats belong to the group of animals. However, since some animals are not pets, it is possible that some of those animals which are not pets include cats. This means that although every cat is an animal, not every animal is a pet. Therefore, some cats may not be pets, which logically follows from the premises provided.

Each number in the series is obtained by multiplying the previous term by 2.\[3 \times 2 = 6\]\[6 \times 2 = 12\]\[12 \times 2 = 24\]\[24 \times 2 = 48\]\[48 \times 2 = 96\]Therefore, the next number in the series is 96.

Each letter in the English alphabet is assigned a position number: A = 1, B = 2, C = 3, and so on. Z is the 26th letter of the alphabet. Therefore, Z = 26.

Each term in the sequence is multiplied by 2 to get the next term.\[5 \times 2 = 10\]\[10 \times 2 = 20\]\[20 \times 2 = 40\]\[40 \times 2 = 80\]Hence, the missing term is 80.

The statement forms a logical chain: all squares are rectangles, and all rectangles are shapes. Hence, every square must also be a shape since it belongs to the broader group of shapes through the relationship of inclusion. Therefore, all squares are shapes.

All the numbers except 20 are powers of 2:
\(2 = 2^1\), \(4 = 2^2\), \(8 = 2^3\), \(16 = 2^4\).
However, 20 is not a power of 2. It breaks the pattern and is therefore the odd one out.

To decode the pattern, assign numerical values based on each letter’s position in the alphabet and find the sum.
For CAT: \(C = 3\), \(A = 1\), \(T = 20\).
Sum = \(3 + 1 + 20 = 24\).
For DOG: \(D = 4\), \(O = 15\), \(G = 7\).
Sum = \(4 + 15 + 7 = 26\).
For BAT: \(B = 2\), \(A = 1\), \(T = 20\).
Sum = \(2 + 1 + 20 = 23\).
Hence, BAT = 23.

The statement says that A is the father of B, but B is not the son of A. The only logical explanation is that B is the daughter of A. The term 'not the son' indicates a female child, hence B is A’s daughter.

In the given code, each letter is shifted one step backward in the alphabet.
\(R \to Q\), \(O \to N\), \(A \to Z\), \(D \to C\).
Applying the same logic:
\(P \to O\), \(A \to Z\), \(T \to S\), \(H \to G\).
Thus, PATH becomes OZSG.

The pattern follows an increasing sequence of letter gaps:
A to C (+2), C to F (+3), F to J (+4), J to O (+5).
Following the pattern, the next letter is obtained by adding 6 steps to O.
O (+6) → S.
Therefore, the next letter is S.