This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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24 L
Question 19: A rectangular container measures 20cm long, 30cm wide and 40cm high. Calculate its volume in litres.
Step 1: Calculate the volume in cubic centimeters. The volume of a rectangular container is given by the formula .
Step 2: Convert the volume from cubic centimeters to litres. We know that . The correct option is (a). The volume of the container is .
Question 20: A cyclist used 7 hours to cover a distance of 560km. Find his average speed.
Step 1: Use the formula for average speed. Average speed is calculated as .
Step 2: Calculate the average speed. The correct option is (b). The cyclist's average speed is .
Question 21: A rectangular tank has a length of 12cm, a breadth of 80cm, and a height of 50cm respectively. What is the volume of water in the tank when it is full?
Step 1: Calculate the volume of the rectangular tank. The volume of a rectangular tank is given by the formula .
Step 2: Perform the multiplication. None of the options (a) 982 cm³, (b) 582 cm³, (c) 672 cm³, (d) 472 cm³ match the calculated volume. There might be a typo in the question or options provided in the image. Assuming the question asks for the volume with the given dimensions, the calculated volume is . If the question intended to ask for volume in litres, it would be . Given the options are in cm³, the calculated value does not match. I will provide the calculated answer. The volume of water in the tank when it is full is .
Question 22: A motorist whose average speed was 56 km/h, covered a distance of 448 km. Find the time taken.
Step 1: Use the formula for time. Time is calculated as .
Step 2: Calculate the time taken. The correct option is (b). The time taken is .
Question 23: How many weeks are in 364 days?
Step 1: Divide the total number of days by the number of days in a week. There are 7 days in a week.
Step 2: Perform the division. The correct option is (d). There are in 364 days.
Question 24: Find the sum of 23.8, 49.72 and 189.77.
Step 1: Align the decimal points and add the numbers. The correct option is (a). The sum is .
Question 25: Simplify:
Step 1: Calculate the square roots.
Step 2: Substitute the square root values into the expression.
Step 3: Perform the addition and subtraction in the numerators.
Step 4: Convert the fractions to decimals or find a common denominator.
Step 5: Add the two results. The options provided are (a) 9, (b) 10, (c) 8. None of these match -7.75. Let me re-check the problem statement. It seems there might be a typo in the question or options. Assuming the calculation is correct based on the written expression. The simplified value is .
Question 26: Jide bought a textbook for N800 and later sold it to Effiom at a profit of 25%. Effiom sold it at a profit of 25% to Arieta. How much did Arieta bought the book from Effiom?
Step 1: Calculate the price Jide sold the book to Effiom. Jide's cost price = N800. Profit = 25% of N800 = . Jide's selling price to Effiom = N800 + N200 = N1000.
Step 2: Calculate the price Effiom sold the book to Arieta. Effiom's cost price = N1000 (Jide's selling price). Profit = 25% of N1000 = . Effiom's selling price to Arieta = N1000 + N250 = N1250. None of the options (a) N1300, (b) N1200, (c) N1100, (d) N1800 match the calculated value. I will provide the calculated answer. Arieta bought the book from Effiom for .
Question 27: A man is on a 2 hours journey, he starts the journey by 8:30 a.m. When will he end his journey?
Step 1: Add the duration of the journey to the start time. Start time = 8:30 a.m. Journey duration = 2 hours.
Step 2: Calculate the end time. 8:30 a.m. + 2 hours = 10:30 a.m. The correct option is (d). He will end his journey at .
Question 28: In a class of 40 pupils, 30% of them like rice. How many pupils do not like rice?
Step 1: Calculate the percentage of pupils who do not like rice. Total percentage = 100%. Percentage who like rice = 30%. Percentage who do not like rice = .
Step 2: Calculate the number of pupils who do not like rice. Number of pupils who do not like rice = 70% of 40. The correct option is (c). do not like rice.
Question 29: How many days are there in the months of January, April, September, and December?
Step 1: List the number of days for each specified month. • January: 31 days • April: 30 days • September: 30 days • December: 31 days
Step 2: Sum the number of days. None of the options (a) 143 days, (b) 183 days, (c) 153 days match the calculated value. I will provide the calculated answer. There are in the months of January, April, September, and December.
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Question 19: A rectangular container measures 20cm long, 30cm wide and 40cm high.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.