8 questions. Try each one, then open the answer to check yourself and read the explanation.
A business man invested a total of ₦200,000 in two companies which paid dividends of 5% and 7% respectively. If he received a total of ₦11,600 as dividend how much did he invest at 5%.
Answer: C (₦120,000)
0.05x + 0.07(200,000 − x) = 11,600 gives 14,000 − 0.02x = 11,600, so x = ₦120,000.
Find the difference in cost per week between employing 20 women at a weekly wage of ₦230.00 and 18 boys at a weekly wage of ₦198.00 each
Answer: B (₦1,036.00)
20 × 230 = ₦4,600 and 18 × 198 = ₦3,564; the difference is ₦1,036.
The shares by Sola and Audu in a joint business are in ratio 5:8 respectively. Later Audu sold ¼ of his shares to Sola which amounted to ₦3,000. What is the worth of the business?
Answer: B (₦19,500)
Audu owns 8/13 of the business; a quarter of that is 2/13, which is ₦3,000, so the business is worth 13/2 × 3,000 = ₦19,500.
In an examination taken by 40 students, 27 passed Mathematics, 18 passed Physics while 2 failed both Mathematics and Physics. How many students passed both subjects?
Answer: B (7)
38 students passed at least one subject, so 27 + 18 − both = 38 and both = 7.
The average age of X pupil in a class is 14 years 2 months. A pupil of 15 years 2 months joins the class and the average age is increased by one month. Find X
Answer: C (11)
In months: 170X + 182 = 171(X + 1), so X = 182 − 171 = 11.
The difference of two number is 10, while their product 39. Find these numbers
Answer: A (−3 and −13 or 13 and 3)
x = y + 10 and y(y + 10) = 39 give y = 3 or −13, so the pairs are 13 and 3, or −3 and −13.
A cyclist rode for 30 minutes at xkm/hr and due to a breakdown he had to push the bike for 2hrs at x − 5km/hr. If the total distance covered is less than 60km, what is the range of the values of x.
Answer: C (x < 28)
Distance = x/2 + 2(x − 5) < 60, so 5x/2 < 70 and x < 28.
When a cinema house is full, it has seats for n people. When 280 people have taken seats, the cost of the tickets for the remaining seats comes to ₦384. If each ticket costs ₦1.20. Find the number of seats in the cinema.
Answer: C (600)
Remaining seats = 384 ÷ 1.20 = 320, so n = 280 + 320 = 600.