The average of five consecutive odd integers is 21.What is the least of these integers?
Answer(s): E
If the average of five consecutive odd integers is 21, then the third integer must be 21. The two larger integers are 19 and 17 and the two lesser integers are 23 and 25. 25 is the least of the five integers.Remember, the more a number is negative, the less is its value.
Line AC is a diagonal of square ABCD. What is the sine of angle ACB?
Answer(s): C
A square has four right (90-degree) angles. The diagonals of a square bisect its angles.DiagonalACbisectsC, forming two 45-degree angles, angleACBand angleACD. The sine of 45 degrees is equal to2/2
If the height of a cylinder is doubled and the radius of the cylinder is halved, the volume of the cylinder
The volume of a cylinder is equal to r2h, where r is the radius of the cylinder and h is the height. The volume of a cylinder with a radius of 1 and a height of 1 is . If the height is doubled and the radius is halved, then the volume becomesThe volume of the cylinder has become half as large.
Answer(s): D
The ratio of the number of cubic units in the volume of a cube to the number of square units in the surface area of the cube is 2:3.What is the surface area of the cube?
The volume of a cube is equal to e3, where e is the length of an edge of the cube. The surface area of a cube is equal to 6e2. If the ratio of the number of cubic units in the volume to the number of square units in the surface area is 2:3, then three times the volume is equal to two times the surface area:
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