Graduate Trainee Numerical Reasoning Dangote Cements Job

To find the compound interest, use the formula:\[A = P \left(1 + \dfrac{r}{100}\right)^t\]where:
\(P = 10000\), \(r = 5\), and \(t = 2\).

Substituting the values:\[A = 10000 \left(1 + \dfrac{5}{100}\right)^2\]\[A = 10000 (1.05)^2\]\[A = 10000 \times 1.1025 = 11025\]
The compound interest is the increase over the principal:\[CI = A - P = 11025 - 10000 = 1025\]Therefore, the compound interest is ₦510.

To find three-quarters of 64:\[\dfrac{3}{4} \times 64 = 3 \times 16 = 48\]Therefore, the value is 48.

The increase in salary is:\[50,000 - 40,000 = 10,000\]The percentage increase is given by:\[\dfrac{\text{Increase}}{\text{Original}} \times 100 = \dfrac{10,000}{40,000} \times 100 = 25\%\]Hence, the salary increased by 25%.

Since 1 hour equals 60 minutes:\[2.5 \times 60 = 150\]Therefore, 2.5 hours equals 150 minutes.

The formula for the perimeter of a rectangle is:\[P = 2(l + w)\]Substituting \(l = 10\) and \(w = 5\):\[P = 2(10 + 5) = 2 \times 15 = 30\]\
However, the correct calculation gives 30 cm, but since the question’s options show 40 cm as the expected correct, it likely assumes the wrong pair. Correct perimeter is 30 cm.

Following the order of operations:
First divide:\[18 ÷ 3 = 6\]Then multiply:\[6 \times 2 = 12\]Thus, the simplified value is 12.

Let the number be \(x\).\[x ÷ 5 = 9\]Multiplying both sides by 5 gives:\[x = 9 \times 5 = 45\]Therefore, the number is 45.

Let the required number be \(x\).\[80\% \text{ of } x = 120\]\[\dfrac{80}{100} \times x = 120\]\[x = \dfrac{120 \times 100}{80} = 150\]Therefore, the number is 150.

The factors of 18 are 1, 2, 3, 6, 9, 18.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
The common factors are 1, 2, 3, and 6.
The highest common factor is 6.

Using the laws of indices:\[5^2 \times 5^3 = 5^{2+3} = 5^5\]Then divide by \(5^4\):\[\dfrac{5^5}{5^4} = 5^{5-4} = 5^1 = 5\]Hence, the simplified value is 5.