Graduate Trainee Numerical Reasoning Dangote Cements Job

Graduate Trainee Numerical Reasoning Dangote Cements Job
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Question 131

Find the missing number: 14, 28, 20, 40, 32, ?
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The sequence alternates between multiplying by 2 and adding 6. Starting from 14:
14 × 2 = 28
28 - 8 = 20
20 × 2 = 40
40 - 8 = 32
32 × 2 = 64
Thus, the pattern shows multiplication by 2 followed by subtraction of 8. Hence, the next term after 32 is 64.
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Question 132

If 4 workers take 6 days to finish a job, how many worker-days are required?
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The total work can be expressed as the product of the number of workers and the number of days they work. Here, 4 workers working for 6 days give:\[4 \times 6 = 24\]This means a total of 24 worker-days are required to complete the job. It represents the total effort needed irrespective of how many workers are assigned later.
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Question 133

Which of these completes the series of letters: Z, X, V, T, ?
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Each letter decreases by two places in the alphabet:
Z (26), X (24), V (22), T (20), ?
The next letter follows the same pattern: 20 - 2 = 18, which corresponds to 'R'.
Therefore, the next letter in the sequence is R.
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Question 134

A die is rolled twice. What is the probability of getting two even numbers?
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A die has 6 faces: 1, 2, 3, 4, 5, 6.
There are 3 even numbers (2, 4, 6) out of 6 possible outcomes.
The probability of rolling an even number once is:\[P(E) = \dfrac{3}{6} = \dfrac{1}{2}\]For two independent rolls, the combined probability is:\[P(E \text{ twice}) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}\]Thus, the probability of getting two even numbers in two rolls is \(\dfrac{1}{4}\).
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Question 135

If the code for "EARTH" is 5-1-18-20-8 (A=1, B=2...), what is the numeric code sum for "SOIL"?
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Using the letter positions in the English alphabet:
S = 19
O = 15
I = 9
L = 12
Summing these values gives:\[19 + 15 + 9 + 12 = 55\]Therefore, the correct numeric sum for 'SOIL' is 55.
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Question 136

In a pattern of squares increasing by odd numbers: 1, 4, 9, 16, the next is?
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The given sequence represents the squares of consecutive natural numbers:
\(1 = 1^2\), \(4 = 2^2\), \(9 = 3^2\), and \(16 = 4^2\).
Each term increases by successive odd numbers (3, 5, 7, …). The next term should follow the same pattern, i.e., \(5^2 = 25\).

This sequence follows the rule \(n^2\), where \(n\) increases by 1 each step. Thus, the next number after 16 (which is \(4^2\)) is \(5^2 = 25\).
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Question 137

Find the next in sequence:
2, 6, 15, 31, ?
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The pattern follows
1 + 12 = 2
1 + 12 + 22 = 6
1 + 12 + 22 + 32 = 15
1 + 12 + 22 + 32 + 42 = 31
1 + 12 + 22 + 32 + 42 + 52 = 56
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Question 138

Which shape is rotationally symmetric at 180°?
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A shape is rotationally symmetric at 180° if it looks the same after being rotated halfway around its centre. A rectangle (that is not a square) satisfies this because after rotating by 180°, the opposite sides and corners coincide exactly with their original positions. An equilateral triangle and a regular pentagon only have rotational symmetry at 120° and 72° respectively, not 180°. A circle has infinite rotational symmetry, but since the question specifies 180°, the rectangle fits the intended property more precisely.
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Question 139

If two angles of a triangle are 50° and 60°, the third is:
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In a triangle, the sum of all interior angles is always 180°.
Given two angles are 50° and 60°, the third angle can be found using:\[180° - (50° + 60°) = 180° - 110° = 70°\]Therefore, the remaining angle measures 70°, completing the triangle’s total angle sum.
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Question 140

If A → B means A is taller than B and B → C means B is taller than C, which is true?
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The first statement means A is taller than B, and the second means B is taller than C. By transitivity of comparison, if A > B and B > C, then A > C. Hence, A must be taller than C.
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