Evaluate: 4 x 24 / 6 + 4 - 2 If 630 sweets were distributed among Lekan, Sulu and Kola in the ratio of 2:3:4. How Many sweets does Kola gets? Find the product of 294 and 105 Find the average of the following numbers 10.5, 2.2, 6.1, 8.0, 5.7 Find the HCF of 26, 65 and 91

Here are the solutions to the questions:

1. Evaluate: $4 \times 24 \div 6 + 4 - 2$

Step 1: Perform multiplication and division from left to right. $4 \times 24 = 96$ $96 \div 6 = 16$ The expression becomes: $16 + 4 - 2$

Step 2: Perform addition and subtraction from left to right. $16 + 4 = 20$ $20 - 2 = 18$ The final answer is: $\boxed{18}$

2. If 630 sweets were distributed among Lekan, Sulu and Kola in the ratio of 2:3:4. How Many sweets does Kola gets?

Step 1: Find the total number of ratio parts. $\text{Total ratio parts} = 2 + 3 + 4 = 9$

Step 2: Determine the value of one ratio part. $\text{Value per part} = \frac{Total sweets}{Total ratio parts} = \frac{630}{9} = 70 \text{ sweets/part}$

Step 3: Calculate the number of sweets Kola gets. Kola's share is 4 parts. $\text{Kola's sweets} = 4 \times 70 = 280 \text{ sweets}$ Kola gets: $\boxed{280 sweets}$

3. Find the product of 294 and 105

Step 1: Multiply the two numbers. $294 \times 105$

Step 2: Perform the multiplication. $294 \times 100 = 29400$ $294 \times 5 = 1470$ $29400 + 1470 = 30870$ The product is: $\boxed{30870}$

4. Find the average of the following numbers 10.5, 2.2, 6.1, 8.0, 5.7

Step 1: Sum all the numbers. $\text{Sum} = 10.5 + 2.2 + 6.1 + 8.0 + 5.7 = 32.5$

Step 2: Count the number of values. There are 5 numbers.

Step 3: Divide the sum by the count of numbers to find the average. $\text{Average} = \frac{Sum}{Count} = \frac{32.5}{5} = 6.5$ The average is: $\boxed{6.5}$

5. Find the HCF of 26, 65 and 91

Step 1: Find the prime factors of each number. $26 = 2 \times 13$ $65 = 5 \times 13$ $91 = 7 \times 13$

Step 2: Identify the common prime factors. The only common prime factor among 26, 65, and 91 is 13. The HCF is: $\boxed{13}$

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