1.Calculate the value of the following expression: [10 + {4 × [(2/3 + 1/4) × (√144 ÷ 121) + 23] ÷ 12 + 5} – 3] = ?
2.Evaluate the value of x in the equation: [50 − {20 + 60% of (26/13 + 24/12 + 21) − 2} + 8] = 625 / x.
3.If 16.66% of 33.33% of 66.66% of a certain number equals 30, what is that number?
4.Calculate the value of: 12.5 plus 10¼ of 100 divided by 10% of 10 equals __________?
5.Calculate the value of the expression: (6 - 2 × 3 + 6) divided by (2 + 6 × 3 - 4). What is the result?
6.Calculate the product of the following numbers: (2/3) × (5 1/2) × 2 × (7 5/6) × (9/11). What is the result?
7.Calculate the value of the expression: 6 minus [5/6 plus {3 7/8 minus 2 1/3 plus 1 7/9}]. What is the result?
8.Given positive integers x and y, if the product of the mixed numbers 3 1/x and y 2/5 equals 13 3/4, where the fractions are in simplest form, what are the values of x and y?
9.The sum of the numbers 461, 462, 463, and 464 is divisible by which of the following?
10.Find the value of '?' in the equation: (830 + ? × 3 × 14 ÷ 100) − (830 × 14 × 3 ÷ 100) = 20.16.
11.Given that x percent of 80 equals 20 percent of y, what are the values of x and y?
12.Find the value of ? in the equation: (84 ÷ 14 ÷ 2 ÷ 9) multiplied by ? equals 33⅓.
13.A room is being floored at a rate of Rs. 8.50 per square meter, and the total flooring cost amounts to Rs. 510. If the room's length measures 8 meters, what is its width?
14.If the length of a rectangle is increased by 10% and its width is reduced by 10%, what is the percentage change in the area of the new rectangle?
15.A chessboard consists of 64 small squares with a total area of 400 cm². If there is a border 3 cm wide surrounding the entire board, what is the length of one side of the chessboard including the border?
16.A rectangular field measures 38 meters in length and 32 meters in width. A uniform path runs along the inside perimeter of the field, covering an area of 600 square meters. What is the width of this path?
17.What length of carpet, 63 cm wide, is needed to cover the floor of a room measuring 14 meters by 9 meters?
18.A rectangle has a length of 8 cm and its diagonal measures 10 cm. What is the perimeter of this rectangle?
19.A room has a floor perimeter measuring 18 meters and a wall height of 3 meters. What is the total surface area of the four walls?
20.A rectangular courtyard measures 3.78 meters in length and 5.25 meters in width. It is to be completely covered with square tiles of identical size without cutting any tile. What is the smallest number of tiles needed to cover the courtyard exactly?