Mathematics

Calculate 32% of 425: 0.32 × 425 = 136. The equation is 136 - (x% of 250) = 36. Rearranging gives x% of 250 = 136 - 36 = 100. So, (x/100) × 250 = 100, which means x = (100 × 100) / 250 = 40%. Therefore, the value of '?' is 40, which corresponds to option B.

According to the order of operations, multiplication is performed before addition. Multiplying 2.9928 by 66.84 gives approximately 199.999 (about 200). Adding 183.21 to this product results in approximately 383.21. Among the given options, 383 (option A) is the closest and correct integer approximation of the result.

The equation is ∛(x/9261) = 11/21. Cubing both sides gives x/9261 = (11/21)^3 = 1331/9261. Multiplying both sides by 9261 yields x = 1331. However, the question is written as ∛?/9261 = 11/21, which implies the cube root of (? divided by 9261) equals 11/21, so the value inside the cube root is ?/9261 = (11/21)^3 = 1331/9261. Therefore, ? = 1331. The correct answer is B: 1331.

To add 25 2/5 + 8 4/5 + 4/5, first add the whole numbers: 25 + 8 = 33. Then add the fractions: 2/5 + 4/5 + 4/5 = 10/5 = 2. Adding these gives 33 + 2 = 35. Therefore, the correct answer is 35, which corresponds to option B.

Solving the equation for the unknown denominator, substituting each option shows that when ? = 2000, the equation balances to 1680, confirming A as correct.

First, calculate 36 * 48 = 1728. Then divide 1728 by 64 to get 27. Next, calculate 36 ÷ 12 = 3. Finally, add 27 + 3 = 30. However, since the calculation shows 30, the correct answer should be D, not A. Rechecking: 36 * 48 = 1728; 1728 ÷ 64 = 27; 36 ÷ 12 = 3; 27 + 3 = 30. So the correct answer is D (30). The original correct_answer was D, which is correct. The explanation was missing and is now provided. The topic is arithmetic operations, and difficulty is easy.

Calculating step-by-step: 30.9 * 3000 = 92700; 10.1 * 1100 = 11110; then 92700 - 11110 + 8298 - 4302 = 92700 - 11110 = 81590; 81590 + 8298 = 89888; 89888 - 4302 = 85586, which rounds closest to 85000 (option D).

The area of the four walls of a room (lateral surface area) is calculated by multiplying the perimeter of the floor by the height of the room. Given the perimeter of the floor is 18 m and the height is 3 m, the area of the four walls is 18 m × 3 m = 54 m². Among the options, 54 Sq.m corresponds to option C, so the correct answer is C.

The calculation is 1252 * 23 + 35000. First, multiply 1252 by 23, which equals 28796. Then add 35000 to get 63796. The exact result is 63796, which does not match any of the given options (200, 400, 1600, 800). Since none of the options correspond to the actual result, the question or options appear to be incorrect or incomplete. However, the original correct answer marked as D (800) is not correct based on the calculation. The correct result is 63796, and none of the options are correct. Therefore, the question should be revised to provide the correct options or clarify what is being asked.

Calculating the numerator: 22*495 + 891*44 = 10890 + 39204 = 50094. Calculating the denominator: 33*176 + 55*264 = 5808 + 14520 = 20328. Dividing numerator by denominator: 50094 / 20328 = 69/28 ≈ 2.46428571. This matches option C exactly, so the correct answer is C (69/28). The original answer A (1) is incorrect.