Graduate Trainee Numerical Reasoning Dangote Cements Job
Graduate Trainee Numerical Reasoning Dangote Cements Job
Question 1
If 2x + 5 = 15, find x.
Subtract 5 from both sides of the equation:\[2x + 5 - 5 = 15 - 5\]\[2x = 10\]\[x = \dfrac{10}{2} = 5\]Hence, the value of \(x\) is 5.
Not clear enough?
Question 2
A car travels 60 km in 1 hour. How far will it travel in 4 hours?
Distance is directly proportional to time when speed is constant. The speed of the car is 60 km per hour. For 4 hours, distance travelled is given by:\[\text{Distance} = \text{Speed} \times \text{Time}\]\[= 60 \times 4 = 240\;\text{km}\]Therefore, the car will travel 240 km in 4 hours.
Not clear enough?
Question 3
What is 25% of 200?
To find 25% of 200, convert 25% to a fraction and multiply by 200:\[25\% = \dfrac{25}{100} = 0.25\]\[0.25 \times 200 = 50\]Therefore, 25% of 200 is 50.
Not clear enough?
Question 4
If a rectangle has a length of 8 m and width of 3 m, what is its perimeter?
The formula for the perimeter of a rectangle is:\[P = 2(L + W)\]\[P = 2(8 + 3) = 2(11) = 22\;\text{m}\]Hence, the perimeter of the rectangle is 22 m.
Not clear enough?
Question 5
Solve: 3/5 of 250 = ?
‘3/5 of 250’ means multiplying 250 by \(\dfrac{3}{5}\):\[\dfrac{3}{5} \times 250 = 3 \times 50 = 150\]Therefore, the result is 150.
Not clear enough?
Question 6
If the cost of 5 pens is ₦250, what is the cost of 8 pens?
First, find the cost of one pen:\[\text{Cost of one pen} = \dfrac{250}{5} = 50\]\[\text{Cost of 8 pens} = 8 \times 50 = 400\]Therefore, the cost of 8 pens is ₦400.
Not clear enough?
Question 7
The average of 10, 20, 30, 40, and 50 is:
Average is given by:\[\text{Average} = \dfrac{\text{Sum of values}}{\text{Number of values}}\]\[= \dfrac{10 + 20 + 30 + 40 + 50}{5} = \dfrac{150}{5} = 30\]Hence, the average of the numbers is 30.
Not clear enough?
Question 8
A man buys an item for ₦6000 and sells it for ₦7500. What is his profit percentage?
Profit = Selling Price − Cost Price\[\text{Profit} = 7500 - 6000 = 1500\]\[\text{Profit percentage} = \dfrac{\text{Profit}}{\text{Cost Price}} \times 100\]\[= \dfrac{1500}{6000} \times 100 = 25\%\]Therefore, the profit percentage is 25%.
Not clear enough?
Question 9
Find the simple interest on ₦5000 at 10% per annum for 2 years.
The formula for simple interest is:\[SI = \dfrac{P \times R \times T}{100}\]\[SI = \dfrac{5000 \times 10 \times 2}{100} = \dfrac{100000}{100} = 1000\]Hence, the simple interest is ₦1000.
Not clear enough?
Question 10
If 3 workers complete a job in 6 days, how long will 6 workers take (same rate)?
Work is inversely proportional to the number of workers when the total amount of work is constant. Thus:\[3 \times 6 = 6 \times x\]\[x = \dfrac{3 \times 6}{6} = 3\]\[x = 3\;\text{days}\]Therefore, 6 workers will take 3 days to complete the job.
Not clear enough?
You might like
"Do not be afraid, but speak and do not be silent for I am with you, and no man shall attack you to harm you; for I have many people in this city". The city referred to was
A man donates 10% of his monthly net earnings to his church. If it amounts to N4,500, what is his net monthly income?
Two pipes A and B can fill a tank in 36 minutes and 45 minutes respectively. Another pipe C can empty the tank in 30 minutes. First A and B are opened. After 7 minutes, C is also opened. The tank is filled up in ?