Geometry MCQ Quiz: Math Test!

Explanation
The circumference of a circle is calculated using the formula C = πd, where C is the circumference and d is the diameter. In this case, we are given that the circumference is 88 cm. By rearranging the formula, we can solve for the diameter by dividing the circumference by π. Therefore, the diameter is 88/π ≈ 28 cm.

Explanation
The probability of rolling an even number on a number cube can be determined by counting the number of favorable outcomes (rolling a 2, 4, or 6) and dividing it by the total number of possible outcomes (rolling a 1, 2, 3, 4, 5, or 6). Since there are 3 favorable outcomes and 6 total outcomes, the probability is 3/6 which simplifies to 1/2.

Explanation
The predecessor of a number is the number that comes before it. In this case, the given number is -9. To find its predecessor, we need to find the number that comes before -9. Among the options provided, the number -10 is the only one that comes before -9, making it the correct answer.

Explanation
To find the value of 2x-3y+xy, we substitute the given values of x and y into the expression.
2(3) - 3(-2) + (3)(-2) = 6 + 6 - 6 = 6.
Therefore, the value of 2x-3y+xy is 6.

Explanation
A rectangle is not considered a regular polygon because it does not have all sides of equal length. While it does have four sides, the opposite sides of a rectangle are parallel and equal in length, but the adjacent sides are not. Therefore, a rectangle is not a regular polygon.

Explanation
The given sequence is obtained by multiplying each term by 2. Starting with 7, the next term is 7*2=14, then 14*2=28, and so on. Therefore, the next two terms of the sequence would be 56*2=112 and 112*2=224.

Explanation
The measure of the angle supplement to angle 700 is 1100. The supplement of an angle is the angle that, when added to the given angle, results in a sum of 180 degrees. Since 700 + 1100 equals 1800, which is 180 degrees more than 1800, the correct answer is 1100.

Explanation
If two numbers are in the ratio 4:5, we can represent them as 4x and 5x, where x is a common factor. The sum of these numbers is 27, so we have the equation 4x + 5x = 27. Simplifying this equation gives us 9x = 27, or x = 3. Therefore, the two numbers are 4(3) = 12 and 5(3) = 15. The product of these numbers is 12 * 15 = 180.

Explanation
When we multiply -2, -7, and -10, we get -140.

Explanation
Anu wanted to score 26 points but ended up with 8/3 points. To find how many points she fell short, we need to subtract her actual score from the desired score. Therefore, the calculation would be 26 - 8/3. To simplify this, we need to convert 26 to a fraction with a denominator of 3, which gives us 78/3. Subtracting 8/3 from 78/3, we get 70/3. Hence, Anu fell short by 70/3 points.

Explanation
The median is the middle value of a set of numbers when they are arranged in ascending or descending order. In this case, the numbers 4, 5, 6, 7, 11, and 82 are arranged in ascending order. The middle value is 6, so 6 is the median of the given set of numbers.

Explanation
252 can be expressed as a product of primes by multiplying the prime factors together. In this case, the prime factors of 252 are 2, 3, and 7. The correct answer shows the prime factors of 252 multiplied together, which results in the product 2 x 2 x 3 x 3 x 7.

Explanation
Let's assume the width of the rectangle is x. According to the given information, the length of the rectangle is thrice its width, so the length would be 3x. The area of a rectangle is calculated by multiplying its length and width, which in this case would be 3x * x = 3x^2. We are also given that the area of the rectangle is 48 sq cm, so we can set up the equation 3x^2 = 48. Solving this equation, we find that x^2 = 16, which means x = 4. Therefore, the length of the rectangle is 3x = 3 * 4 = 12.

Explanation
The triangle with sides measuring 15 cm, 36 cm, and 39 cm is a right-angled triangle. This can be determined by applying the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. In this case, 15^2 + 36^2 = 225 + 1296 = 1521, which is equal to 39^2. Therefore, the triangle is right-angled.