Graduate Trainee Numerical Reasoning Dangote Cements Job

To find 12% of ₦8000, convert 12% to a fraction of 100:\[ 12\% = \dfrac{12}{100} \]Now multiply this by ₦8000:\[ \dfrac{12}{100} \times 8000 = 960 \]Therefore, 12% of ₦8000 is ₦960.

The number of units produced is directly proportional to the number of workers if time is constant.\[ \text{Units} \propto \text{Workers} \]Let the number of units produced by 12 workers be \( x \):\[ \dfrac{8}{12} = \dfrac{120}{x} \]\[ 8x = 12 \times 120 \]\[ x = \dfrac{1440}{8} = 180 \]Therefore, 12 workers will produce 180 units in 5 days.

Using the laws of indices:\[ 4^3 \times 4^2 = 4^{3+2} = 4^5 \]\[ \dfrac{4^5}{4^4} = 4^{5-4} = 4^1 = 4 \]Therefore, the expression simplifies to 4.

The perimeter of a square is given by \( P = 4s \), where \( s \) is the side length.\[ 4s = 48 \Rightarrow s = 12 \; \text{cm} \]The area is given by \( s^2 \):\[ 12^2 = 144 \; \text{cm}^2 \]Therefore, the area of the square is 144 cm².

Loss percentage is given by:\[ \text{Loss} = \dfrac{\text{Loss}\% \times \text{Cost Price}}{100} \]\[ \text{Loss} = \dfrac{10 \times 2500}{100} = 250 \]The selling price is therefore:\[ \text{Selling Price} = 2500 - 250 = 2250 \]Hence, the selling price is ₦2250.

To solve for \( x \):\[ 9x = 81 \]\[ x = \dfrac{81}{9} = 9 \]Hence, \( x = 9 \).

Fuel consumption is directly proportional to distance travelled.\[ \dfrac{8}{100} = \dfrac{x}{350} \]\[ 100x = 8 \times 350 \]\[ x = \dfrac{2800}{100} = 28 \; \text{litres} \]Therefore, 28 litres are required for 350 km.

Average is obtained by dividing the sum of all numbers by the number of terms.\[ \text{Average} = \dfrac{6 + 8 + 10 + 12}{4} = \dfrac{36}{4} = 9 \]Therefore, the average is 9.

To find 15% of ₦2000:\[ 15\% = \dfrac{15}{100} \]\[ \dfrac{15}{100} \times 2000 = 300 \]Therefore, 15% of ₦2000 is ₦300.

The sum of the first \( n \) natural numbers is given by:\[ S = \dfrac{n(n + 1)}{2} \]\[ S = \dfrac{10(10 + 1)}{2} = \dfrac{10 \times 11}{2} = 55 \]Therefore, the sum of the first 10 natural numbers is 55.