Graduate Trainee Numerical Reasoning Dangote Cements Job
Graduate Trainee Numerical Reasoning Dangote Cements Job
Question 41
Convert 3/8 to percentage.
To convert a fraction to a percentage, multiply by 100.\[ \dfrac{3}{8} \times 100 = 37.5\% \]This means that 3 parts out of 8 represent 37.5% when expressed as a percentage. Therefore, \( \dfrac{3}{8} = 37.5\% \).
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Question 42
Find the simple interest on ₦4000 at 5% per annum for 4 years.
The simple interest formula is:\[ I = \dfrac{P \times R \times T}{100} \]Substitute: \( P = 4000, R = 5, T = 4 \)\[ I = \dfrac{4000 \times 5 \times 4}{100} = 800 \]The simple interest on ₦4000 at 5% per annum for 4 years is ₦800.
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Question 43
If 15 mangoes cost ₦450, what is the cost of 25 mangoes?
The cost is directly proportional to the number of mangoes.\[ \dfrac{15}{25} = \dfrac{450}{x} \]\[ 15x = 450 \times 25 \]\[ x = \dfrac{11250}{15} = 750 \]Hence, the cost of 25 mangoes is ₦750.
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Question 44
The area of a triangle with base 10 cm and height 8 cm is:
The area of a triangle is given by:\[ A = \dfrac{1}{2} \times \text{base} \times \text{height} \]\[ A = \dfrac{1}{2} \times 10 \times 8 = 40 \; \text{cm}^2 \]Thus, the area of the triangle is 40 cm².
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Question 45
Solve: (15 + 25) × 2 = ?
Using the order of operations (BODMAS), first add inside the bracket:\[ 15 + 25 = 40 \]\[ 40 \times 2 = 80 \]The result is 80.
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Question 46
The ratio of 2 hours to 90 minutes is:
Convert both times to the same unit (minutes).
\( 2 \; \text{hours} = 120 \; \text{minutes} \)
Ratio = 120 : 90
Divide both sides by 30:\[ \dfrac{120}{30} : \dfrac{90}{30} = 4 : 3 \]Hence, the ratio is 4:3.
\( 2 \; \text{hours} = 120 \; \text{minutes} \)
Ratio = 120 : 90
Divide both sides by 30:\[ \dfrac{120}{30} : \dfrac{90}{30} = 4 : 3 \]Hence, the ratio is 4:3.
Not clear enough?
Question 47
A number is increased by 20% and becomes 60. Find the original number.
Let the original number be \( x \).
If it is increased by 20%, the new value is:\[ x + 0.2x = 1.2x \]\[ 1.2x = 60 \Rightarrow x = \dfrac{60}{1.2} = 50 \]The original number is 50.
If it is increased by 20%, the new value is:\[ x + 0.2x = 1.2x \]\[ 1.2x = 60 \Rightarrow x = \dfrac{60}{1.2} = 50 \]The original number is 50.
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Question 48
What is 3/4 of ₦3200?
To find three-quarters of ₦3200, multiply by \( \dfrac{3}{4} \):\[ \dfrac{3}{4} \times 3200 = 2400 \]Therefore, \( \dfrac{3}{4} \) of ₦3200 is ₦2400.
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Question 49
A car travels at 80 km/h for 2.5 hours. Find the distance.
Distance is given by:\[ \text{Distance} = \text{Speed} \times \text{Time} \]\[ \text{Distance} = 80 \times 2.5 = 200 \; \text{km} \]Thus, the car travels 200 km.
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Question 50
Simplify: 0.25 × 0.4 = ?
When multiplying decimals, multiply as whole numbers and then count total decimal places.\[ 25 \times 4 = 100 \]\[ 0.25 \times 0.4 = 0.10 \]This is because two decimal places from 0.25 and one from 0.4 make three, resulting in 0.10 after adjustment.
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