Graduate Trainee Numerical Reasoning Dangote Cements Job
Graduate Trainee Numerical Reasoning Dangote Cements Job
Question 11
What is the next number in the sequence: 3, 6, 12, 24, ?
Each term in the sequence is obtained by multiplying the previous term by 2.
3 × 2 = 6
6 × 2 = 12
12 × 2 = 24
24 × 2 = 48
Therefore, the next number in the sequence is 48.
3 × 2 = 6
6 × 2 = 12
12 × 2 = 24
24 × 2 = 48
Therefore, the next number in the sequence is 48.
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Question 12
Solve for x: 7x – 21 = 0.
Rearrange the equation:\[7x - 21 = 0\]Add 21 to both sides:\[7x = 21\]Divide both sides by 7:\[x = \dfrac{21}{7} = 3\]Hence, the value of x is 3.
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Question 13
If 15% of a number is 45, find the number.
Let the number be \(x\).\[15\% \text{ of } x = 45\]\[\dfrac{15}{100} \times x = 45\]Multiply both sides by 100:\[15x = 4500\]Divide both sides by 15:\[x = 300\]Therefore, the number is 300.
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Question 14
The sum of the angles in a triangle is:
The interior angles of any triangle always add up to 180°.
This is because a triangle can be considered half of a straight line (180°) when extended along one side, hence the sum of its internal angles equals 180°.
This is because a triangle can be considered half of a straight line (180°) when extended along one side, hence the sum of its internal angles equals 180°.
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Question 15
Convert 0.75 to a fraction.
0.75 means \(\dfrac{75}{100}\).
Simplify by dividing numerator and denominator by 25:\[\dfrac{75 \div 25}{100 \div 25} = \dfrac{3}{4}\]Therefore, 0.75 as a fraction is \(\dfrac{3}{4}\).
Simplify by dividing numerator and denominator by 25:\[\dfrac{75 \div 25}{100 \div 25} = \dfrac{3}{4}\]Therefore, 0.75 as a fraction is \(\dfrac{3}{4}\).
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Question 16
Simplify: (2/3) × (9/4).
Multiply the numerators and denominators:\[\dfrac{2}{3} \times \dfrac{9}{4} = \dfrac{2 \times 9}{3 \times 4} = \dfrac{18}{12}\]Simplify by dividing both numerator and denominator by 6:\[\dfrac{18}{12} = \dfrac{3}{2}\]Thus, the simplified result is \(\dfrac{3}{2}\).
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Question 17
If a car covers 150 km in 3 hours, what is its speed?
Speed is given by:\[\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}\]Substitute the values:\[\text{Speed} = \dfrac{150}{3} = 50\; \text{km/h}\]Therefore, the car’s speed is 50 km/h.
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Question 18
Find the median of: 4, 8, 6, 10, 12.
First, arrange the numbers in ascending order:
4, 6, 8, 10, 12
The median is the middle value when arranged in order.
There are five numbers, so the third value is the median.
Hence, the median is 8.
4, 6, 8, 10, 12
The median is the middle value when arranged in order.
There are five numbers, so the third value is the median.
Hence, the median is 8.
Not clear enough?
Question 19
3x + 2y = 12, find y if x = 2.
Substitute \(x = 2\) into the equation:\[3(2) + 2y = 12\]\[6 + 2y = 12\]Subtract 6 from both sides:\[2y = 6\]Divide both sides by 2:\[y = 3\]Therefore, \(y = 3\).
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Question 20
2⁵ ÷ 2² = ?
When dividing powers with the same base, subtract the exponents:\[2^5 \div 2^2 = 2^{(5 - 2)} = 2^3\]\[2^3 = 8\]Therefore, the result is 8.