The LCM of 12 and 15 is 60, which is the smallest number divisible by both.

The LCM of 12 and 15 is 60. The smallest number divisible by 60 and 36 is 180.

If a number is divisible by both 2 and 5, it must be a multiple of 10.

The smallest number divisible by both 4 and 6 is their LCM, which is 12. Hence, the answer is 12.

The LCM of 6 and 8 is 24, which is also divisible by 12. Hence, the smallest number is 24.

The LCM of 8 and 14 is 56, which is a two-digit number.

The last two digits of 378 are 78, which is not divisible by 4 (78 ÷ 4 = 19.5). Therefore, 378 is not a multiple of 4.

25 is a perfect square because its square root is 5, which is an integer.

The smallest number that satisfies both conditions is 11 (11 % 3 = 2 and 11 % 5 = 1).

The smallest number satisfying both conditions is 22.

The smallest number that satisfies both conditions is 8 (8 % 5 = 3 and 8 % 3 = 2).

22 leaves a remainder of 2 when divided by 5, but it is not possible for 22 to leave a remainder of 2.

The smallest number that satisfies both conditions is 14 (14 % 10 = 4 and 14 % 3 = 2).

If the number is 6k + 4, then 3(6k + 4) = 18k + 12, which leaves a remainder of 0 when divided by 6.

The smallest number that satisfies both conditions is 23 (23 % 9 = 5 and 23 % 5 = 3).

The new number is 3*(11k + 6) = 33k + 18, which gives a remainder of 7 when divided by 11.

The new number is (original number - 3) = (10k + 7 - 3) = 10k + 4, which gives a remainder of 4.

The new number is (original number - 3), which gives a remainder of (7 - 3) = 4.

Area = base × height = 8 × 5 = 40 m².

There are 26 choices for each letter (3 letters) and 10 choices for the first digit and 9 for the second. Total = 26^3 * 10 * 9 = 17576.

Cost of 3 pens = 3 × 2 = 6. Let the cost of each notebook be x. Then 6 + 2x = 15, leading to 2x = 9, so x = 4.

Profit = Selling Price - Cost Price = $150 - $120 = $30. Percentage profit = (Profit / Cost Price) × 100 = (30/120) × 100 = 25%.

Profit = selling price - cost price = 960 - 800 = 160. Percentage profit = (profit/cost price) * 100 = (160/800) * 100 = 20%.

Loss = Cost Price - Selling Price = 150 - 120 = 30. Loss Percentage = (Loss/Cost Price) * 100 = (30/150) * 100 = 20%.

Profit = Selling price - Cost price = 50 - 40 = 10. Percentage profit = (Profit/Cost price) * 100 = (10/40) * 100 = 25%.

Profit = Selling Price - Cost Price = 50 - 40 = 10. Percentage Profit = (Profit / Cost Price) * 100 = (10/40) * 100 = 25%.

Profit = Selling Price - Cost Price = 600 - 500 = 100. Percentage profit = (Profit / Cost Price) * 100 = (100/500) * 100 = 20%.

Profit = Selling Price - Cost Price = 600 - 500 = 100. Profit Percentage = (Profit/Cost Price) * 100 = (100/500) * 100 = 20%.

Profit = Selling Price - Cost Price = 960 - 800 = 160. Percentage profit = (Profit/Cost Price) * 100 = (160/800) * 100 = 20%.

Speed upstream = Speed in still water - Speed of current = 5 - 2 = 3 km/h.