Simple Math GK Questions

Explanation
12 is a multiple of 4 because it can be divided evenly by 4. When 12 is divided by 4, the result is 3, which means that 4 can go into 12 three times without leaving a remainder. Therefore, 12 is a multiple of 4.

Explanation
Derek Jeter's batting average is calculated by dividing the number of hits he got (40) by the number of times he batted (100). So, 40 divided by 100 equals 0.4.

Explanation
The expression 5+5+5+5 can be simplified as 20. The only option in the given choices that gives the same answer as 20 is 10 x 2. When you multiply 10 by 2, you get 20, which is equal to the sum of four 5's.

Explanation
A parallelogram is a quadrilateral with opposite sides parallel. A circle is not a parallelogram because it is not a quadrilateral and does not have straight sides. A rectangle, rhombus, and square are all parallelograms because they have opposite sides that are parallel.

Explanation
A cube is a solid figure with six square faces. Each face of a cube is a square, and all the faces are congruent. The cube is a three-dimensional shape with equal length, width, and height.

Explanation
A vertex is the point where three or more edges meet in a solid figure. It is often referred to as a corner. The other options, center, middle, and diameter, do not accurately describe the point where edges meet in a solid figure.

Explanation
A variable is a letter or symbol that represents an unknown or changing value in mathematics. It is used to represent numbers or quantities that can vary or change in a given equation or problem. In this context, a variable can stand for a single number or a set of numbers, depending on the specific problem being solved. Therefore, a variable is the correct answer as it accurately describes the concept of a letter or symbol representing a number or numbers.

Explanation
A fact family consists of a set of related addition and subtraction equations that use the same numbers. In this case, the equations 1+2=3 and 2+1=3 form a fact family because they involve the same numbers (1, 2, and 3) and demonstrate the relationship between addition and subtraction.

Explanation
A factor tree is a diagram that shows the prime factors of a number. It starts with the given number and branches out into its prime factors, which are then further broken down into their own prime factors until all the factors are prime numbers. This helps in understanding the prime factorization of a number and finding its prime factors.

Explanation
A set of symbols that expresses a mathematical rule is called a formula. Formulas are used to represent mathematical relationships and equations in a concise and symbolic way. They often involve variables and mathematical operations, allowing us to solve problems and make calculations. Formulas are an essential tool in various branches of mathematics, science, and engineering, enabling us to describe and analyze complex systems and phenomena.

Explanation
An open figure is a geometric shape that does not form a closed loop. It has distinct starting and ending points, unlike a closed figure which connects back to its starting point. A sphere is a closed figure as it forms a continuous loop, starting and ending at the same point. A solid mass is not a figure at all, but rather a three-dimensional object. A triangle is a closed figure as it forms a closed loop with three sides. Therefore, the figure that does not begin and end at the same point is the open figure.

Explanation
The gallon is the largest unit of measurement among the options given. It is a unit of volume used in both the US customary system and the British imperial system. An ounce is smaller than a pint, a pint is smaller than a liter, and a liter is smaller than a gallon. Therefore, the gallon is the largest unit of measurement among the given options.

Explanation
To find the miles per gallon, we divide the total distance traveled (350 miles) by the amount of fuel used (20 gallons). By performing this calculation, we find that the truck is getting 17.5 miles per gallon.

Explanation
Tim and Sam are both traveling in the same direction, east. Therefore, their distances will not add up but rather subtract from each other. Tim travels eight miles east and Sam travels six miles east, so the distance between them would be the difference between these two distances, which is two miles.

Explanation
The price of a $300 watch marked down 40 percent can be calculated by multiplying the original price ($300) by the discount percentage (40%) and then subtracting that amount from the original price. Therefore, the price of the watch after the discount would be $180.